UPSC Mains PYQ 2024: Mechanical Engineering (Paper - I) | Mechanical Engineering Optional Notes for UPSC PDF Download

 Page 1


PHKM-U-MCH 
~~:250 
~-,r,r ll'Rr..tft ~. 
(~ m t ~ ~ ~ 1fi f.li;ifM€ta m ~ cfi1 '-4M'l4cf> ~> 
~ ~ m ! ~ m ~ ~ ~ ! ~ ~ afR atm;ft ~ -q lJq ~ !1 
-qtt~cfil~1'Nmt~~t, 
mm l afR 5 ~!~~m~~~~~ctitf-~-ctitf~w-J~WRmt~~I 
ffl w-1/'WT t ~ ~ mlH ~ ~ t I 
mt "3ffi: "3lft ~ ~ ~ ~ ~ •· ~ • ~ ~-~ -q M lFTT t , 3ffi ~ ~ cfiT "f9'! 
$m-~-"3ffi: (<Pio ~o V:o) ~t~'q"{~~'tf"{M~•I ~~t ~ ~ 
M ~~ ~ ~ ~ 'q"{ cfiTl ~~ ~I 
m cfiT °3ffi: ~ t ~ ~ cfiTl ~ iRTl lJf -m, cft ~ ffl ~~~~I 
~ ~ ~. ~ cf ~SWfiRtlfl cfil, w-1 cfiT ~ ~ t ~ ~ ~ ~ -q ~ ~ I 
~ ocfi 3~~d ~ ~. ~ ~ *''*~cll ~ ~ ~~ -q ~ t I 
ffl t ~ c#i't T(UR1 sfiiil~el< c#i't ~ I ~ qif2l ~ -m, o) mt "3ffi: <#TT T(URl c#i't ~ ~ ~ ~ 3lffif: ~ 
lFTT -m1 m-~-"3ffi: (<Pio lfto v:o) ~ ~ M ~ ~311 ~ ~ ~ 3ffl cfi) "f9'! ~ ~ qif2l ~ ., 
MECHANICAL ENGINEERING (PAPER-I) 
I Time Allowed : Three Hours I I Maximum Marks : 250 I 
QUESTION PAPER SPECIFIC INSTRUCTIONS 
(Please read each of the following instructions carefully before attempting questions) 
There are EIGHT questions divided in two Sections and printed both in HINDI and in 
ENGLISH. 
Candidate has to attempt FIVE questions in all. 
Question Nos. 1 and S are compulsory and out of the remaining, THREE are to be attempted 
choosing at least ONE question from each Section. 
The number of marks carried by a question/part is indicated against it. 
Answers must be written in the medium authorized in the Admission Certificate which 
must be stated clearly on the cover of this Question-cum-Answer (QCA) Booklet in the 
space provided. No marks will be given for answers written in a medium other than the 
authorized one. 
Wherever any assumptions are made for answering a question, they must be clearly indicated. 
Diagrams/Figures, wherever required, shall be drawn in the space provided for answering the 
question itself. 
Unless otherwise mentioned, symbols and notations carry their usual standard meanings. 
Attempts of questions shall be counted in sequential order. Unless struck off, attempt of a 
question shall be counted even if attempted partly. Any page or portion of the page left blank 
in the Question-cum-Answer (QCA) Booklet must be clearly struck off. 
PHKM-U-MCH/29 
1 [P.T.O. 
Page 2


PHKM-U-MCH 
~~:250 
~-,r,r ll'Rr..tft ~. 
(~ m t ~ ~ ~ 1fi f.li;ifM€ta m ~ cfi1 '-4M'l4cf> ~> 
~ ~ m ! ~ m ~ ~ ~ ! ~ ~ afR atm;ft ~ -q lJq ~ !1 
-qtt~cfil~1'Nmt~~t, 
mm l afR 5 ~!~~m~~~~~ctitf-~-ctitf~w-J~WRmt~~I 
ffl w-1/'WT t ~ ~ mlH ~ ~ t I 
mt "3ffi: "3lft ~ ~ ~ ~ ~ •· ~ • ~ ~-~ -q M lFTT t , 3ffi ~ ~ cfiT "f9'! 
$m-~-"3ffi: (<Pio ~o V:o) ~t~'q"{~~'tf"{M~•I ~~t ~ ~ 
M ~~ ~ ~ ~ 'q"{ cfiTl ~~ ~I 
m cfiT °3ffi: ~ t ~ ~ cfiTl ~ iRTl lJf -m, cft ~ ffl ~~~~I 
~ ~ ~. ~ cf ~SWfiRtlfl cfil, w-1 cfiT ~ ~ t ~ ~ ~ ~ -q ~ ~ I 
~ ocfi 3~~d ~ ~. ~ ~ *''*~cll ~ ~ ~~ -q ~ t I 
ffl t ~ c#i't T(UR1 sfiiil~el< c#i't ~ I ~ qif2l ~ -m, o) mt "3ffi: <#TT T(URl c#i't ~ ~ ~ ~ 3lffif: ~ 
lFTT -m1 m-~-"3ffi: (<Pio lfto v:o) ~ ~ M ~ ~311 ~ ~ ~ 3ffl cfi) "f9'! ~ ~ qif2l ~ ., 
MECHANICAL ENGINEERING (PAPER-I) 
I Time Allowed : Three Hours I I Maximum Marks : 250 I 
QUESTION PAPER SPECIFIC INSTRUCTIONS 
(Please read each of the following instructions carefully before attempting questions) 
There are EIGHT questions divided in two Sections and printed both in HINDI and in 
ENGLISH. 
Candidate has to attempt FIVE questions in all. 
Question Nos. 1 and S are compulsory and out of the remaining, THREE are to be attempted 
choosing at least ONE question from each Section. 
The number of marks carried by a question/part is indicated against it. 
Answers must be written in the medium authorized in the Admission Certificate which 
must be stated clearly on the cover of this Question-cum-Answer (QCA) Booklet in the 
space provided. No marks will be given for answers written in a medium other than the 
authorized one. 
Wherever any assumptions are made for answering a question, they must be clearly indicated. 
Diagrams/Figures, wherever required, shall be drawn in the space provided for answering the 
question itself. 
Unless otherwise mentioned, symbols and notations carry their usual standard meanings. 
Attempts of questions shall be counted in sequential order. Unless struck off, attempt of a 
question shall be counted even if attempted partly. Any page or portion of the page left blank 
in the Question-cum-Answer (QCA) Booklet must be clearly struck off. 
PHKM-U-MCH/29 
1 [P.T.O. 
l!VI-A / SECTION-A 
1. (a) "lcti 2 m ~ i'llfl 450 N ~~~~'Ill: am 1lcti UR 'Ill:@@ t1 ~ ~ ~ ~ ~ 
~ ~ t, ~ 'Ill: 200 N 1'i1 ~ ~ ~ t1 ~ t ~ ~ ffl a 1fql ~? ~ ~ 
~t~1'il~ffl~ 0-4t: 
lm 
450N 
a 
A rod of length 2 m and weight 450 N rests on ground at one end. The other 
end ia supported by a cord through which a force of 200 N is applied. What is 
the mmimum angle a for which equilibrium is possible? The coefficient of static 
friction between the rod and the floor is 0·4 : 
200N 
lm 
lm 
450N 
fbJ ~~"~ 1·5mi'llfl'il!lm2ommt,ftmm~~1RlJllffi1Jl~~l 
~11llmt~~ 125.kg1'i!~~~!I ~ E=200GPat, ifl~~ 
•m~, 
A ~ of •pan l ·5 m and diameter 20 mm ia aimply aupported at the ends. 
~t came, a 125 kg concentrated maaa at midspan. If E = 200 GPa, calculate 
its fundamental frequency. 
10 
10 
PHKM-U-MCH/29 
2 
(c) ~~~t~ftro1R<:Tl!TZ<ITT'RWTJV:f 3m 1·8mm~t~~-acR"if!Rcf;l 
T-1 .mm~~ 1Tll1 t ~ ~ ~ TJV: ~-q ~ 1Tll1 t, ";fl q;) ~ -rn-a ~ ~ ~ t 
~~~cfiT{'llllli@;if!13lil, -;rlcf;l~~~-a~-~'qlffl:~~-a~~ 
;;mTJ ti~ 3frl: i!TR -q ~ 3l~ ~ ~ 7JURl ~I~~~ t ~ ~ 
Jilffi: 200 GPa (I'll 105 GPa f : 
mm mm 
~<ft~ 
14 mm 
:wmi-nR, 12mmolffil 
IE---120mm~ 
Two thick washers are placed on the two ends of a copper tube and a steel bolt 
of pitch 1 ·8 mm is made to pass through these washers as shown in the figure 
below. The nut is tightened first with hand so that there are no stresses in the 
tube. Now, the nut is further tightened with the spanner through one-fourth of 
a turn. Calculate the axial stresses developed in the tube and the bolt. Young's 
modulus values for steel and copper are~ and 105 GPa, respectively : 
Washer Washer 
Steel bolt, 12 mm dia 
IE--- 120~ 10 
(d) mm~~ (CCT) 3llra ~ ~ ~ ~ ~ ~ ~ olffi9IIT ~ ~ ~ 
~~~t~if[q~"ij~, 
Explain critical cooling rate using continuous cooling transformation (CCT) 
diagram and write its importance in hardening heat treatment of alloy steel. 10 
(e) ~ ~ ~ 1lflfl11l1fl ~ ~ 1Jfcl 250 rpm, $ 300 mm, ~ 'IWTI 1'i1 ~ 
60kg(l'll 150mm M1Rll?ff '111Ticti!~ 50kgtl ~it-~~ 'IWTI ~ 
~ll?iffflcf;)•M~t<11fiJ400mm~M1R~~~~ 
fiiJkt~~~ (ifqn-m) ~ 60°~1n ~ ~~ffl~1 
A single-cylinder reciprocating engine has speed 250 rpm, stroke 300 mm, 
mass of the reciprocating parts 60 kg and mass of the revolving parts 50 kg at 
150 mm radius. If two-thirds of the reciprocating parts and all the revolving 
parts are to be balanced, find (i) the balance mass required at a radius of 
400 mm and (ii) the residual unbalanced force when the crank has rotated 60° 
from top dead centre. 10 
PHKM-U-MCH/~9 3 (P.T.O. 
Page 3


PHKM-U-MCH 
~~:250 
~-,r,r ll'Rr..tft ~. 
(~ m t ~ ~ ~ 1fi f.li;ifM€ta m ~ cfi1 '-4M'l4cf> ~> 
~ ~ m ! ~ m ~ ~ ~ ! ~ ~ afR atm;ft ~ -q lJq ~ !1 
-qtt~cfil~1'Nmt~~t, 
mm l afR 5 ~!~~m~~~~~ctitf-~-ctitf~w-J~WRmt~~I 
ffl w-1/'WT t ~ ~ mlH ~ ~ t I 
mt "3ffi: "3lft ~ ~ ~ ~ ~ •· ~ • ~ ~-~ -q M lFTT t , 3ffi ~ ~ cfiT "f9'! 
$m-~-"3ffi: (<Pio ~o V:o) ~t~'q"{~~'tf"{M~•I ~~t ~ ~ 
M ~~ ~ ~ ~ 'q"{ cfiTl ~~ ~I 
m cfiT °3ffi: ~ t ~ ~ cfiTl ~ iRTl lJf -m, cft ~ ffl ~~~~I 
~ ~ ~. ~ cf ~SWfiRtlfl cfil, w-1 cfiT ~ ~ t ~ ~ ~ ~ -q ~ ~ I 
~ ocfi 3~~d ~ ~. ~ ~ *''*~cll ~ ~ ~~ -q ~ t I 
ffl t ~ c#i't T(UR1 sfiiil~el< c#i't ~ I ~ qif2l ~ -m, o) mt "3ffi: <#TT T(URl c#i't ~ ~ ~ ~ 3lffif: ~ 
lFTT -m1 m-~-"3ffi: (<Pio lfto v:o) ~ ~ M ~ ~311 ~ ~ ~ 3ffl cfi) "f9'! ~ ~ qif2l ~ ., 
MECHANICAL ENGINEERING (PAPER-I) 
I Time Allowed : Three Hours I I Maximum Marks : 250 I 
QUESTION PAPER SPECIFIC INSTRUCTIONS 
(Please read each of the following instructions carefully before attempting questions) 
There are EIGHT questions divided in two Sections and printed both in HINDI and in 
ENGLISH. 
Candidate has to attempt FIVE questions in all. 
Question Nos. 1 and S are compulsory and out of the remaining, THREE are to be attempted 
choosing at least ONE question from each Section. 
The number of marks carried by a question/part is indicated against it. 
Answers must be written in the medium authorized in the Admission Certificate which 
must be stated clearly on the cover of this Question-cum-Answer (QCA) Booklet in the 
space provided. No marks will be given for answers written in a medium other than the 
authorized one. 
Wherever any assumptions are made for answering a question, they must be clearly indicated. 
Diagrams/Figures, wherever required, shall be drawn in the space provided for answering the 
question itself. 
Unless otherwise mentioned, symbols and notations carry their usual standard meanings. 
Attempts of questions shall be counted in sequential order. Unless struck off, attempt of a 
question shall be counted even if attempted partly. Any page or portion of the page left blank 
in the Question-cum-Answer (QCA) Booklet must be clearly struck off. 
PHKM-U-MCH/29 
1 [P.T.O. 
l!VI-A / SECTION-A 
1. (a) "lcti 2 m ~ i'llfl 450 N ~~~~'Ill: am 1lcti UR 'Ill:@@ t1 ~ ~ ~ ~ ~ 
~ ~ t, ~ 'Ill: 200 N 1'i1 ~ ~ ~ t1 ~ t ~ ~ ffl a 1fql ~? ~ ~ 
~t~1'il~ffl~ 0-4t: 
lm 
450N 
a 
A rod of length 2 m and weight 450 N rests on ground at one end. The other 
end ia supported by a cord through which a force of 200 N is applied. What is 
the mmimum angle a for which equilibrium is possible? The coefficient of static 
friction between the rod and the floor is 0·4 : 
200N 
lm 
lm 
450N 
fbJ ~~"~ 1·5mi'llfl'il!lm2ommt,ftmm~~1RlJllffi1Jl~~l 
~11llmt~~ 125.kg1'i!~~~!I ~ E=200GPat, ifl~~ 
•m~, 
A ~ of •pan l ·5 m and diameter 20 mm ia aimply aupported at the ends. 
~t came, a 125 kg concentrated maaa at midspan. If E = 200 GPa, calculate 
its fundamental frequency. 
10 
10 
PHKM-U-MCH/29 
2 
(c) ~~~t~ftro1R<:Tl!TZ<ITT'RWTJV:f 3m 1·8mm~t~~-acR"if!Rcf;l 
T-1 .mm~~ 1Tll1 t ~ ~ ~ TJV: ~-q ~ 1Tll1 t, ";fl q;) ~ -rn-a ~ ~ ~ t 
~~~cfiT{'llllli@;if!13lil, -;rlcf;l~~~-a~-~'qlffl:~~-a~~ 
;;mTJ ti~ 3frl: i!TR -q ~ 3l~ ~ ~ 7JURl ~I~~~ t ~ ~ 
Jilffi: 200 GPa (I'll 105 GPa f : 
mm mm 
~<ft~ 
14 mm 
:wmi-nR, 12mmolffil 
IE---120mm~ 
Two thick washers are placed on the two ends of a copper tube and a steel bolt 
of pitch 1 ·8 mm is made to pass through these washers as shown in the figure 
below. The nut is tightened first with hand so that there are no stresses in the 
tube. Now, the nut is further tightened with the spanner through one-fourth of 
a turn. Calculate the axial stresses developed in the tube and the bolt. Young's 
modulus values for steel and copper are~ and 105 GPa, respectively : 
Washer Washer 
Steel bolt, 12 mm dia 
IE--- 120~ 10 
(d) mm~~ (CCT) 3llra ~ ~ ~ ~ ~ ~ ~ olffi9IIT ~ ~ ~ 
~~~t~if[q~"ij~, 
Explain critical cooling rate using continuous cooling transformation (CCT) 
diagram and write its importance in hardening heat treatment of alloy steel. 10 
(e) ~ ~ ~ 1lflfl11l1fl ~ ~ 1Jfcl 250 rpm, $ 300 mm, ~ 'IWTI 1'i1 ~ 
60kg(l'll 150mm M1Rll?ff '111Ticti!~ 50kgtl ~it-~~ 'IWTI ~ 
~ll?iffflcf;)•M~t<11fiJ400mm~M1R~~~~ 
fiiJkt~~~ (ifqn-m) ~ 60°~1n ~ ~~ffl~1 
A single-cylinder reciprocating engine has speed 250 rpm, stroke 300 mm, 
mass of the reciprocating parts 60 kg and mass of the revolving parts 50 kg at 
150 mm radius. If two-thirds of the reciprocating parts and all the revolving 
parts are to be balanced, find (i) the balance mass required at a radius of 
400 mm and (ii) the residual unbalanced force when the crank has rotated 60° 
from top dead centre. 10 
PHKM-U-MCH/~9 3 (P.T.O. 
Bodies A, B and C of weights 100 N, 200 N and 150 N, respectively are 
connected as shown. If released from rest, what would be their respective 
velocities after 1 s? The pulleys are massless : 
C 
{b) ~~-~~*~'Qi*~ ~-3ll'{'f ~ lflt.l! 'llfcmtfl t@-~m'T * ~ 3fti: 
;ft.)~ '111; 1, -ii -30, +360, -250, +300, -300, +250, -380, +260 ~ -210 mm 
2 
11 ~ ~ 1 mm= 600 N-m il1l1 ~ ~ 1 mm= 5° ti qR-1 <fil ~ 1flt.l! lJf'il 
* ±1·5% <Ri ~ t .ii~ 250rpm ti~*~~~~ 10N/mm
2 
'lli!i 
~t, ~<llfl ~an *'lllllll ,Ji) "l'1'RI 'IF@~~ ,{ifi *~ <fil~ oqm <I'll 
~11il?ffl~l~*~,t;1~ 7200kg/m
3 
tl~~-'i!>'l~~<fil 
~~llr-l~I 
The turning ~ment cwve fo~ o~e revolution of a multicylinder enBfe above 
and below the line of mean reaistmg torque are given by -30, +360, -250, +300, 
-300, +250, -380, +260 and -210 mm
2
. The vertical and horizontal scales are 
1 mm • 600 N-m and 1 mm z 5°, respectively. The fluctuation of speed is limited 
to ± 1 ·5% of mean speed which is 250 rpm. The hoop stress in rim material 
is limited to 10 N/mm
2
• Neglecting the effect of boss and anns, determine the 
~itable diam~ and cross_ -section ~f flywheel rim. The density of rim material 
1s 7200 kg/m , Assume width of nm equal to four times its thickness. 
PHKM-U- MCH/29 
20 
20 
(c) ~ "q;lifi ~ <fil ~ 1·992x10-
26 
kg <I'll ~ ~ (~) lITTcl (a) 
3·57 x 10-
10 
mt, o) <filif;i ~ • <l!ff<ll atn ~~mo ~I <li1.t.! ~ ~ ~ 
'i!>'I ~ ffl (~ ~) 1'R ~I 
Calculate the packing efficiency and packing density of carbon if mass of 
carbon atom is 1 ·992 x 10-
26 
kg and unit cell side (a) is 3 ·57 x 10-
10 
~- Assume 
crystal structure of carbon as diamond cubic. 
3. ~~ 'JJ{ \ITT\~~ \fR mo~.~ ffl 3lT'{'f ~ ~ ~ ~ t I 'zlfi A 3fti: B 'R tITT 
~t: 
+800N-m 'R<@ll\ 
A ~ B 
-1600N-m V 
3m 3m 
CD 
Ar------.iB 
-1500 N-m L:J-2300 N-m 
{ 3m { 
® 
Show the loading on the beams corresponding to the bending moment 
diagrams shown below. The beams are simply supported at A and B : 
+800 N-m Parabolic 
A ~ q 
-1600N-mV I 
1 
3m _ 3m l 
1 1 
CD 
A,----"'IB 
-1500 N-m ~ 2300 N-m 
3m t 
® 
10 
20 
PHKM-U-MCH/29 
[P.T.O. 
Page 4


PHKM-U-MCH 
~~:250 
~-,r,r ll'Rr..tft ~. 
(~ m t ~ ~ ~ 1fi f.li;ifM€ta m ~ cfi1 '-4M'l4cf> ~> 
~ ~ m ! ~ m ~ ~ ~ ! ~ ~ afR atm;ft ~ -q lJq ~ !1 
-qtt~cfil~1'Nmt~~t, 
mm l afR 5 ~!~~m~~~~~ctitf-~-ctitf~w-J~WRmt~~I 
ffl w-1/'WT t ~ ~ mlH ~ ~ t I 
mt "3ffi: "3lft ~ ~ ~ ~ ~ •· ~ • ~ ~-~ -q M lFTT t , 3ffi ~ ~ cfiT "f9'! 
$m-~-"3ffi: (<Pio ~o V:o) ~t~'q"{~~'tf"{M~•I ~~t ~ ~ 
M ~~ ~ ~ ~ 'q"{ cfiTl ~~ ~I 
m cfiT °3ffi: ~ t ~ ~ cfiTl ~ iRTl lJf -m, cft ~ ffl ~~~~I 
~ ~ ~. ~ cf ~SWfiRtlfl cfil, w-1 cfiT ~ ~ t ~ ~ ~ ~ -q ~ ~ I 
~ ocfi 3~~d ~ ~. ~ ~ *''*~cll ~ ~ ~~ -q ~ t I 
ffl t ~ c#i't T(UR1 sfiiil~el< c#i't ~ I ~ qif2l ~ -m, o) mt "3ffi: <#TT T(URl c#i't ~ ~ ~ ~ 3lffif: ~ 
lFTT -m1 m-~-"3ffi: (<Pio lfto v:o) ~ ~ M ~ ~311 ~ ~ ~ 3ffl cfi) "f9'! ~ ~ qif2l ~ ., 
MECHANICAL ENGINEERING (PAPER-I) 
I Time Allowed : Three Hours I I Maximum Marks : 250 I 
QUESTION PAPER SPECIFIC INSTRUCTIONS 
(Please read each of the following instructions carefully before attempting questions) 
There are EIGHT questions divided in two Sections and printed both in HINDI and in 
ENGLISH. 
Candidate has to attempt FIVE questions in all. 
Question Nos. 1 and S are compulsory and out of the remaining, THREE are to be attempted 
choosing at least ONE question from each Section. 
The number of marks carried by a question/part is indicated against it. 
Answers must be written in the medium authorized in the Admission Certificate which 
must be stated clearly on the cover of this Question-cum-Answer (QCA) Booklet in the 
space provided. No marks will be given for answers written in a medium other than the 
authorized one. 
Wherever any assumptions are made for answering a question, they must be clearly indicated. 
Diagrams/Figures, wherever required, shall be drawn in the space provided for answering the 
question itself. 
Unless otherwise mentioned, symbols and notations carry their usual standard meanings. 
Attempts of questions shall be counted in sequential order. Unless struck off, attempt of a 
question shall be counted even if attempted partly. Any page or portion of the page left blank 
in the Question-cum-Answer (QCA) Booklet must be clearly struck off. 
PHKM-U-MCH/29 
1 [P.T.O. 
l!VI-A / SECTION-A 
1. (a) "lcti 2 m ~ i'llfl 450 N ~~~~'Ill: am 1lcti UR 'Ill:@@ t1 ~ ~ ~ ~ ~ 
~ ~ t, ~ 'Ill: 200 N 1'i1 ~ ~ ~ t1 ~ t ~ ~ ffl a 1fql ~? ~ ~ 
~t~1'il~ffl~ 0-4t: 
lm 
450N 
a 
A rod of length 2 m and weight 450 N rests on ground at one end. The other 
end ia supported by a cord through which a force of 200 N is applied. What is 
the mmimum angle a for which equilibrium is possible? The coefficient of static 
friction between the rod and the floor is 0·4 : 
200N 
lm 
lm 
450N 
fbJ ~~"~ 1·5mi'llfl'il!lm2ommt,ftmm~~1RlJllffi1Jl~~l 
~11llmt~~ 125.kg1'i!~~~!I ~ E=200GPat, ifl~~ 
•m~, 
A ~ of •pan l ·5 m and diameter 20 mm ia aimply aupported at the ends. 
~t came, a 125 kg concentrated maaa at midspan. If E = 200 GPa, calculate 
its fundamental frequency. 
10 
10 
PHKM-U-MCH/29 
2 
(c) ~~~t~ftro1R<:Tl!TZ<ITT'RWTJV:f 3m 1·8mm~t~~-acR"if!Rcf;l 
T-1 .mm~~ 1Tll1 t ~ ~ ~ TJV: ~-q ~ 1Tll1 t, ";fl q;) ~ -rn-a ~ ~ ~ t 
~~~cfiT{'llllli@;if!13lil, -;rlcf;l~~~-a~-~'qlffl:~~-a~~ 
;;mTJ ti~ 3frl: i!TR -q ~ 3l~ ~ ~ 7JURl ~I~~~ t ~ ~ 
Jilffi: 200 GPa (I'll 105 GPa f : 
mm mm 
~<ft~ 
14 mm 
:wmi-nR, 12mmolffil 
IE---120mm~ 
Two thick washers are placed on the two ends of a copper tube and a steel bolt 
of pitch 1 ·8 mm is made to pass through these washers as shown in the figure 
below. The nut is tightened first with hand so that there are no stresses in the 
tube. Now, the nut is further tightened with the spanner through one-fourth of 
a turn. Calculate the axial stresses developed in the tube and the bolt. Young's 
modulus values for steel and copper are~ and 105 GPa, respectively : 
Washer Washer 
Steel bolt, 12 mm dia 
IE--- 120~ 10 
(d) mm~~ (CCT) 3llra ~ ~ ~ ~ ~ ~ ~ olffi9IIT ~ ~ ~ 
~~~t~if[q~"ij~, 
Explain critical cooling rate using continuous cooling transformation (CCT) 
diagram and write its importance in hardening heat treatment of alloy steel. 10 
(e) ~ ~ ~ 1lflfl11l1fl ~ ~ 1Jfcl 250 rpm, $ 300 mm, ~ 'IWTI 1'i1 ~ 
60kg(l'll 150mm M1Rll?ff '111Ticti!~ 50kgtl ~it-~~ 'IWTI ~ 
~ll?iffflcf;)•M~t<11fiJ400mm~M1R~~~~ 
fiiJkt~~~ (ifqn-m) ~ 60°~1n ~ ~~ffl~1 
A single-cylinder reciprocating engine has speed 250 rpm, stroke 300 mm, 
mass of the reciprocating parts 60 kg and mass of the revolving parts 50 kg at 
150 mm radius. If two-thirds of the reciprocating parts and all the revolving 
parts are to be balanced, find (i) the balance mass required at a radius of 
400 mm and (ii) the residual unbalanced force when the crank has rotated 60° 
from top dead centre. 10 
PHKM-U-MCH/~9 3 (P.T.O. 
Bodies A, B and C of weights 100 N, 200 N and 150 N, respectively are 
connected as shown. If released from rest, what would be their respective 
velocities after 1 s? The pulleys are massless : 
C 
{b) ~~-~~*~'Qi*~ ~-3ll'{'f ~ lflt.l! 'llfcmtfl t@-~m'T * ~ 3fti: 
;ft.)~ '111; 1, -ii -30, +360, -250, +300, -300, +250, -380, +260 ~ -210 mm 
2 
11 ~ ~ 1 mm= 600 N-m il1l1 ~ ~ 1 mm= 5° ti qR-1 <fil ~ 1flt.l! lJf'il 
* ±1·5% <Ri ~ t .ii~ 250rpm ti~*~~~~ 10N/mm
2 
'lli!i 
~t, ~<llfl ~an *'lllllll ,Ji) "l'1'RI 'IF@~~ ,{ifi *~ <fil~ oqm <I'll 
~11il?ffl~l~*~,t;1~ 7200kg/m
3 
tl~~-'i!>'l~~<fil 
~~llr-l~I 
The turning ~ment cwve fo~ o~e revolution of a multicylinder enBfe above 
and below the line of mean reaistmg torque are given by -30, +360, -250, +300, 
-300, +250, -380, +260 and -210 mm
2
. The vertical and horizontal scales are 
1 mm • 600 N-m and 1 mm z 5°, respectively. The fluctuation of speed is limited 
to ± 1 ·5% of mean speed which is 250 rpm. The hoop stress in rim material 
is limited to 10 N/mm
2
• Neglecting the effect of boss and anns, determine the 
~itable diam~ and cross_ -section ~f flywheel rim. The density of rim material 
1s 7200 kg/m , Assume width of nm equal to four times its thickness. 
PHKM-U- MCH/29 
20 
20 
(c) ~ "q;lifi ~ <fil ~ 1·992x10-
26 
kg <I'll ~ ~ (~) lITTcl (a) 
3·57 x 10-
10 
mt, o) <filif;i ~ • <l!ff<ll atn ~~mo ~I <li1.t.! ~ ~ ~ 
'i!>'I ~ ffl (~ ~) 1'R ~I 
Calculate the packing efficiency and packing density of carbon if mass of 
carbon atom is 1 ·992 x 10-
26 
kg and unit cell side (a) is 3 ·57 x 10-
10 
~- Assume 
crystal structure of carbon as diamond cubic. 
3. ~~ 'JJ{ \ITT\~~ \fR mo~.~ ffl 3lT'{'f ~ ~ ~ ~ t I 'zlfi A 3fti: B 'R tITT 
~t: 
+800N-m 'R<@ll\ 
A ~ B 
-1600N-m V 
3m 3m 
CD 
Ar------.iB 
-1500 N-m L:J-2300 N-m 
{ 3m { 
® 
Show the loading on the beams corresponding to the bending moment 
diagrams shown below. The beams are simply supported at A and B : 
+800 N-m Parabolic 
A ~ q 
-1600N-mV I 
1 
3m _ 3m l 
1 1 
CD 
A,----"'IB 
-1500 N-m ~ 2300 N-m 
3m t 
® 
10 
20 
PHKM-U-MCH/29 
[P.T.O. 
7·5 MN/m
2 
~=======t:======1 
20 MN/m
2 
20 MN/m
2 
~=======l=======; 7·5 MN /m
2 
10 MN/m
2 
A rectangular plate with a central circular hole re diameter 250 ~ is 
subjected to two mutually perpendicular direct 1tresses of magmtudes 
20 MN/m
2 
and 10 MN/m
2 
along the x and y diq,ctions, respectively. In 
addition, a shear stress of magnitude 7·5 MN/m
2 
acj n all the four planes on 
which the direct stresses act (see the figure be! . The circular hole is 
deformed into the shape of an ellipse. If the value of oung's modulus of the 
material is 210 GN/m
2 
and Poisson's ratio is 0·3, find\be lengths of the major 
and minor axes : 
10 MN/m
2 
\ 
7·5 MN/m
2
~ ___ ....,_ ___ _, 
20 MN/m
2 
0 MN/m
2 
========::::;=======~ 7·5 MN /m2 
10 MN/m
2 
(c} ~RR~~~~ (i)~~~. (ii)~~~ fiiiJ,~'T'i\~ 3'111R'R 
Ut""'~I 
Compare different types of cast iron in respect of (iJ form of carbon, (ii} micro-
20 
structure and (ili) mechanical properties. 10 
PHKM-U-MCH/29 6 
U ~ ~ "l']<ffi ~~~qi] q,iR 20 N <1'<11 ~~~~~~om ~ ';PIJ3'l 
~~sf;lffl: 125mmo~ 6Smmt1~~~qi'f ~ , l{'.'R ~~~ 100mm 
~~1R~t1 ~~ ~<1'<11~ l{'.'R ~ 125mm <1'<11 80mm t, ~ 
.icift«I .iwR -rrfa-qf if;lffi: 325 rpm <1'<11 300 rpm t I ®'J ~ ¥.ffi <1'<11 ~ .iwR '1f<i m<I 
~. ~ ~ ~ 100 mm ti 
A governor of Hartnell type has each ball of weight 20 N and the lengths of 
vertical and horizontal arms of the bell crank lever are 125 mm and 65 mm, 
respectively. The fulcrum of the bell crank lever is at a distance of 100 mm 
from the axis of rotation. The maximum and minimum radii of rotation of the 
balls are 125 mm and 80 mm, and the corresponding equilibrium speeds are 
325 rpm and 300 rpm, respectively. Find the stiffness of the spring and the 
equilibrium speed when the radius of rotation is 100 mm. 20 
15 kN 15 kN 
tt:===A ~~=: 2 :"= 0=: kN :"= /=: m".='.:==:======::::: 
~ BtRB 
L o - 6m L 1·2m L 1·2m L 
1 1 1 1 
Determine the deflection at a point 1 m from the left-hand end of the beam 
loaded as shown in the figure below. Use double integration method. The beam 
is having a constant flexural rigidity of 0·6 MN-m 
2 
15 kN 15 kN 
tt::==::::: A ~=:'.:=::20 :'.:= kN/ ~ m ~===========, 
~ BtRB 
L 0·6 m l l ·2 m L l ·2 m L 
1 1 1 1 
(c} ~: ~ ~ <{@ ~ "ll<liR ~ ~ 3ftt ~~ (~) <lil ~-~ q;i: ~I~ 
.iA'1'T'i\ aftt~;it~, 
'----Enume~ate different types of cams and followers commonly used. State their 
20 
relative merits and demerits. 10 
PHKM-U-MCH/29 7 
(P.T .O . 
Page 5


PHKM-U-MCH 
~~:250 
~-,r,r ll'Rr..tft ~. 
(~ m t ~ ~ ~ 1fi f.li;ifM€ta m ~ cfi1 '-4M'l4cf> ~> 
~ ~ m ! ~ m ~ ~ ~ ! ~ ~ afR atm;ft ~ -q lJq ~ !1 
-qtt~cfil~1'Nmt~~t, 
mm l afR 5 ~!~~m~~~~~ctitf-~-ctitf~w-J~WRmt~~I 
ffl w-1/'WT t ~ ~ mlH ~ ~ t I 
mt "3ffi: "3lft ~ ~ ~ ~ ~ •· ~ • ~ ~-~ -q M lFTT t , 3ffi ~ ~ cfiT "f9'! 
$m-~-"3ffi: (<Pio ~o V:o) ~t~'q"{~~'tf"{M~•I ~~t ~ ~ 
M ~~ ~ ~ ~ 'q"{ cfiTl ~~ ~I 
m cfiT °3ffi: ~ t ~ ~ cfiTl ~ iRTl lJf -m, cft ~ ffl ~~~~I 
~ ~ ~. ~ cf ~SWfiRtlfl cfil, w-1 cfiT ~ ~ t ~ ~ ~ ~ -q ~ ~ I 
~ ocfi 3~~d ~ ~. ~ ~ *''*~cll ~ ~ ~~ -q ~ t I 
ffl t ~ c#i't T(UR1 sfiiil~el< c#i't ~ I ~ qif2l ~ -m, o) mt "3ffi: <#TT T(URl c#i't ~ ~ ~ ~ 3lffif: ~ 
lFTT -m1 m-~-"3ffi: (<Pio lfto v:o) ~ ~ M ~ ~311 ~ ~ ~ 3ffl cfi) "f9'! ~ ~ qif2l ~ ., 
MECHANICAL ENGINEERING (PAPER-I) 
I Time Allowed : Three Hours I I Maximum Marks : 250 I 
QUESTION PAPER SPECIFIC INSTRUCTIONS 
(Please read each of the following instructions carefully before attempting questions) 
There are EIGHT questions divided in two Sections and printed both in HINDI and in 
ENGLISH. 
Candidate has to attempt FIVE questions in all. 
Question Nos. 1 and S are compulsory and out of the remaining, THREE are to be attempted 
choosing at least ONE question from each Section. 
The number of marks carried by a question/part is indicated against it. 
Answers must be written in the medium authorized in the Admission Certificate which 
must be stated clearly on the cover of this Question-cum-Answer (QCA) Booklet in the 
space provided. No marks will be given for answers written in a medium other than the 
authorized one. 
Wherever any assumptions are made for answering a question, they must be clearly indicated. 
Diagrams/Figures, wherever required, shall be drawn in the space provided for answering the 
question itself. 
Unless otherwise mentioned, symbols and notations carry their usual standard meanings. 
Attempts of questions shall be counted in sequential order. Unless struck off, attempt of a 
question shall be counted even if attempted partly. Any page or portion of the page left blank 
in the Question-cum-Answer (QCA) Booklet must be clearly struck off. 
PHKM-U-MCH/29 
1 [P.T.O. 
l!VI-A / SECTION-A 
1. (a) "lcti 2 m ~ i'llfl 450 N ~~~~'Ill: am 1lcti UR 'Ill:@@ t1 ~ ~ ~ ~ ~ 
~ ~ t, ~ 'Ill: 200 N 1'i1 ~ ~ ~ t1 ~ t ~ ~ ffl a 1fql ~? ~ ~ 
~t~1'il~ffl~ 0-4t: 
lm 
450N 
a 
A rod of length 2 m and weight 450 N rests on ground at one end. The other 
end ia supported by a cord through which a force of 200 N is applied. What is 
the mmimum angle a for which equilibrium is possible? The coefficient of static 
friction between the rod and the floor is 0·4 : 
200N 
lm 
lm 
450N 
fbJ ~~"~ 1·5mi'llfl'il!lm2ommt,ftmm~~1RlJllffi1Jl~~l 
~11llmt~~ 125.kg1'i!~~~!I ~ E=200GPat, ifl~~ 
•m~, 
A ~ of •pan l ·5 m and diameter 20 mm ia aimply aupported at the ends. 
~t came, a 125 kg concentrated maaa at midspan. If E = 200 GPa, calculate 
its fundamental frequency. 
10 
10 
PHKM-U-MCH/29 
2 
(c) ~~~t~ftro1R<:Tl!TZ<ITT'RWTJV:f 3m 1·8mm~t~~-acR"if!Rcf;l 
T-1 .mm~~ 1Tll1 t ~ ~ ~ TJV: ~-q ~ 1Tll1 t, ";fl q;) ~ -rn-a ~ ~ ~ t 
~~~cfiT{'llllli@;if!13lil, -;rlcf;l~~~-a~-~'qlffl:~~-a~~ 
;;mTJ ti~ 3frl: i!TR -q ~ 3l~ ~ ~ 7JURl ~I~~~ t ~ ~ 
Jilffi: 200 GPa (I'll 105 GPa f : 
mm mm 
~<ft~ 
14 mm 
:wmi-nR, 12mmolffil 
IE---120mm~ 
Two thick washers are placed on the two ends of a copper tube and a steel bolt 
of pitch 1 ·8 mm is made to pass through these washers as shown in the figure 
below. The nut is tightened first with hand so that there are no stresses in the 
tube. Now, the nut is further tightened with the spanner through one-fourth of 
a turn. Calculate the axial stresses developed in the tube and the bolt. Young's 
modulus values for steel and copper are~ and 105 GPa, respectively : 
Washer Washer 
Steel bolt, 12 mm dia 
IE--- 120~ 10 
(d) mm~~ (CCT) 3llra ~ ~ ~ ~ ~ ~ ~ olffi9IIT ~ ~ ~ 
~~~t~if[q~"ij~, 
Explain critical cooling rate using continuous cooling transformation (CCT) 
diagram and write its importance in hardening heat treatment of alloy steel. 10 
(e) ~ ~ ~ 1lflfl11l1fl ~ ~ 1Jfcl 250 rpm, $ 300 mm, ~ 'IWTI 1'i1 ~ 
60kg(l'll 150mm M1Rll?ff '111Ticti!~ 50kgtl ~it-~~ 'IWTI ~ 
~ll?iffflcf;)•M~t<11fiJ400mm~M1R~~~~ 
fiiJkt~~~ (ifqn-m) ~ 60°~1n ~ ~~ffl~1 
A single-cylinder reciprocating engine has speed 250 rpm, stroke 300 mm, 
mass of the reciprocating parts 60 kg and mass of the revolving parts 50 kg at 
150 mm radius. If two-thirds of the reciprocating parts and all the revolving 
parts are to be balanced, find (i) the balance mass required at a radius of 
400 mm and (ii) the residual unbalanced force when the crank has rotated 60° 
from top dead centre. 10 
PHKM-U-MCH/~9 3 (P.T.O. 
Bodies A, B and C of weights 100 N, 200 N and 150 N, respectively are 
connected as shown. If released from rest, what would be their respective 
velocities after 1 s? The pulleys are massless : 
C 
{b) ~~-~~*~'Qi*~ ~-3ll'{'f ~ lflt.l! 'llfcmtfl t@-~m'T * ~ 3fti: 
;ft.)~ '111; 1, -ii -30, +360, -250, +300, -300, +250, -380, +260 ~ -210 mm 
2 
11 ~ ~ 1 mm= 600 N-m il1l1 ~ ~ 1 mm= 5° ti qR-1 <fil ~ 1flt.l! lJf'il 
* ±1·5% <Ri ~ t .ii~ 250rpm ti~*~~~~ 10N/mm
2 
'lli!i 
~t, ~<llfl ~an *'lllllll ,Ji) "l'1'RI 'IF@~~ ,{ifi *~ <fil~ oqm <I'll 
~11il?ffl~l~*~,t;1~ 7200kg/m
3 
tl~~-'i!>'l~~<fil 
~~llr-l~I 
The turning ~ment cwve fo~ o~e revolution of a multicylinder enBfe above 
and below the line of mean reaistmg torque are given by -30, +360, -250, +300, 
-300, +250, -380, +260 and -210 mm
2
. The vertical and horizontal scales are 
1 mm • 600 N-m and 1 mm z 5°, respectively. The fluctuation of speed is limited 
to ± 1 ·5% of mean speed which is 250 rpm. The hoop stress in rim material 
is limited to 10 N/mm
2
• Neglecting the effect of boss and anns, determine the 
~itable diam~ and cross_ -section ~f flywheel rim. The density of rim material 
1s 7200 kg/m , Assume width of nm equal to four times its thickness. 
PHKM-U- MCH/29 
20 
20 
(c) ~ "q;lifi ~ <fil ~ 1·992x10-
26 
kg <I'll ~ ~ (~) lITTcl (a) 
3·57 x 10-
10 
mt, o) <filif;i ~ • <l!ff<ll atn ~~mo ~I <li1.t.! ~ ~ ~ 
'i!>'I ~ ffl (~ ~) 1'R ~I 
Calculate the packing efficiency and packing density of carbon if mass of 
carbon atom is 1 ·992 x 10-
26 
kg and unit cell side (a) is 3 ·57 x 10-
10 
~- Assume 
crystal structure of carbon as diamond cubic. 
3. ~~ 'JJ{ \ITT\~~ \fR mo~.~ ffl 3lT'{'f ~ ~ ~ ~ t I 'zlfi A 3fti: B 'R tITT 
~t: 
+800N-m 'R<@ll\ 
A ~ B 
-1600N-m V 
3m 3m 
CD 
Ar------.iB 
-1500 N-m L:J-2300 N-m 
{ 3m { 
® 
Show the loading on the beams corresponding to the bending moment 
diagrams shown below. The beams are simply supported at A and B : 
+800 N-m Parabolic 
A ~ q 
-1600N-mV I 
1 
3m _ 3m l 
1 1 
CD 
A,----"'IB 
-1500 N-m ~ 2300 N-m 
3m t 
® 
10 
20 
PHKM-U-MCH/29 
[P.T.O. 
7·5 MN/m
2 
~=======t:======1 
20 MN/m
2 
20 MN/m
2 
~=======l=======; 7·5 MN /m
2 
10 MN/m
2 
A rectangular plate with a central circular hole re diameter 250 ~ is 
subjected to two mutually perpendicular direct 1tresses of magmtudes 
20 MN/m
2 
and 10 MN/m
2 
along the x and y diq,ctions, respectively. In 
addition, a shear stress of magnitude 7·5 MN/m
2 
acj n all the four planes on 
which the direct stresses act (see the figure be! . The circular hole is 
deformed into the shape of an ellipse. If the value of oung's modulus of the 
material is 210 GN/m
2 
and Poisson's ratio is 0·3, find\be lengths of the major 
and minor axes : 
10 MN/m
2 
\ 
7·5 MN/m
2
~ ___ ....,_ ___ _, 
20 MN/m
2 
0 MN/m
2 
========::::;=======~ 7·5 MN /m2 
10 MN/m
2 
(c} ~RR~~~~ (i)~~~. (ii)~~~ fiiiJ,~'T'i\~ 3'111R'R 
Ut""'~I 
Compare different types of cast iron in respect of (iJ form of carbon, (ii} micro-
20 
structure and (ili) mechanical properties. 10 
PHKM-U-MCH/29 6 
U ~ ~ "l']<ffi ~~~qi] q,iR 20 N <1'<11 ~~~~~~om ~ ';PIJ3'l 
~~sf;lffl: 125mmo~ 6Smmt1~~~qi'f ~ , l{'.'R ~~~ 100mm 
~~1R~t1 ~~ ~<1'<11~ l{'.'R ~ 125mm <1'<11 80mm t, ~ 
.icift«I .iwR -rrfa-qf if;lffi: 325 rpm <1'<11 300 rpm t I ®'J ~ ¥.ffi <1'<11 ~ .iwR '1f<i m<I 
~. ~ ~ ~ 100 mm ti 
A governor of Hartnell type has each ball of weight 20 N and the lengths of 
vertical and horizontal arms of the bell crank lever are 125 mm and 65 mm, 
respectively. The fulcrum of the bell crank lever is at a distance of 100 mm 
from the axis of rotation. The maximum and minimum radii of rotation of the 
balls are 125 mm and 80 mm, and the corresponding equilibrium speeds are 
325 rpm and 300 rpm, respectively. Find the stiffness of the spring and the 
equilibrium speed when the radius of rotation is 100 mm. 20 
15 kN 15 kN 
tt:===A ~~=: 2 :"= 0=: kN :"= /=: m".='.:==:======::::: 
~ BtRB 
L o - 6m L 1·2m L 1·2m L 
1 1 1 1 
Determine the deflection at a point 1 m from the left-hand end of the beam 
loaded as shown in the figure below. Use double integration method. The beam 
is having a constant flexural rigidity of 0·6 MN-m 
2 
15 kN 15 kN 
tt::==::::: A ~=:'.:=::20 :'.:= kN/ ~ m ~===========, 
~ BtRB 
L 0·6 m l l ·2 m L l ·2 m L 
1 1 1 1 
(c} ~: ~ ~ <{@ ~ "ll<liR ~ ~ 3ftt ~~ (~) <lil ~-~ q;i: ~I~ 
.iA'1'T'i\ aftt~;it~, 
'----Enume~ate different types of cams and followers commonly used. State their 
20 
relative merits and demerits. 10 
PHKM-U-MCH/29 7 
(P.T .O . 
ll'Q-B / SBCTION-B 
S. (a) ~~~11il~~~ifi)40m/min~~,Tfil"Q~~~~'-ll(!ltl 
~~~it~ ~~'RPf~~ c(llfl nifi)ifilffl: 300 (llfl 0·5l{Ra~ 
~~ '1 'fi:Rl it -,n, ~I~~ ,Tfil ~ 80% 'Q ~~.in~~ ~ -q 
~~~, 
A cutting tool is used to machine alloy steel at cutting speed of 40 m/min. 
Considering the values of constants c and n for cutting tool material as 300 
and 0-5, respectively as per tool-life equation, calculate the tool life in minutes. 
If the cutting speed is increased by 80%, then calculate the percentage change 
in tool life. l 0 
(b) •= (•-~-•)~NC lfflR ~ "WR ffl 1€\ ~ ~ 3°~ t I 31!1111 ~ 
lllil' ~ 2-4 mm t1 ~ ~-1:lffl ~ 11m ~I 
'Ibe stepper motor of a point-to-point controlled NC machine has specification 
aenaitinty of 3° /pulse. The pitch of the lead screw is 2·4 mm. Determine the 
e:zpec:ted poaitioning accuracy. 10 
(cJ 'l'i'W 8 1R <C\ ii ftm'I -q llilll ffl 'ii@!~~.~ (~) ~ ~ ~ 'itil ~ 
a 28000 ~ ~ oli1 ~~ti~~ <Iii~ m 1m ~ ~ ~ 
-.~1't111RT~l~~~f.\1nai~~61!iPlllfil~"ffl<ftt1~~-~ 
1lfil .-r 10 ..-. ~ ~ t1 ~ ~ ~ 1<R ~ ~ m ~ ~ ~ ~ ~ 
~ t, ~ a::r 1fiffllR'll ~ 'lliPll 11i1 ~ ~ ~ ~ t? 
A ~ working in ~o ahifta, each of 8 hours, produces 28000 tube lights 
~•me • !let af ~na. Using this information, compute the actual cycle 
tune of the plant operation. There are 6 tub required to manufacture the tube 
light.~ ·ISWD of~~~ is equal to 10 seconds. How many workstation¦ 
are ~ed to ID&Ultain this level of production assuming that combining of 
tulca mto those workstations is a feuible alternative? 
PHKM-U-MCH/29 
8 
10 
(d) ~ <liR f.rqf,Ji ~ ~ lITT!T it Wt@ ~ 'iR ~ q;J ~ q;uf\ t I llfrT f.ltR t 3ffi ~ 
(mi!!fi ~) ~ ~ ~ ~ ~ 7'a ;;ii~ t1 ~ 7';\ ~ llT7I 2500 illiffl t1 
<fitFft ~ ~ r 1,250 ma ilTiffl ~ ~ ~ ~ ~ ~ t 1 <fitFft qi!~ t ~ ~ ~ 
.;J'R 7'a 'ffil"@ 20 'llfuml ma~ ma~ am~ e1;t 'ffil"@ r 1,200 ma~ ~1 <i;tr-ft 
lffi'I -q 250 ~ q;J'I! d t1 <fi'Ffi 1'i) ~~el;) ffl m"'11 'llUI@\ ~ ~ <lwfi ~ ? 
~el;tFf'ffiTRl~ t ? 
A car manufacturing unit uses large quantities of a component made of steel. 
The demand is continuous and inventory planning could be done independent 
of the production plan . The annual demand for the component is 2500 boxes. 
The company procures the item from a supplier at the rate of r 1,250 per box. 
The company estimates the cost of carrying inventory to be 20 percent/unit/ 
annum and the cost of ordering as r 1,200 per order. The company works for 
250 days in a year. How should the company design an inventory control 
system for this item? What is the total cost of the plan? 
(e) 2 ~ 4~7'a ~~-.r,;;;n ~~~~~f.\'imn~~,f;) llTr!<!il 'SNlf<ra~ c{@ 
~<lill!111R~~~'iffiil'R~~,f;)~.f;)1'fU~~~'ifl?:,~ 
~~~f.lcml~llTr!~it~~,f;)~qiJ~~~~t1~\W"Tl 
~ 3lll1R~~c!t11{~~ ~. ':.i)M~~ ~ ~~11,qi:{~~t. qi! 
'3'1'lf1JT~~.fi)llT71'itil~"WIR~~~~~ ; 
~ 
figf/t:if~iffer 
(X) (Y) 
200 165 
235 184 
210 180 
195 145 
225 190 
240 169 
217 180 
225 170 
10 
PHKM-U-MCH/:19 9 
[P.T.O .