Laws of Motion- 2 Practice Questions - DPP for NEET

 Page 1


DIRECTIONS (Q.1-Q.20) : There are 20 multiple choice
questions. Each question has 4 choices (a), (b), (c) and (d), out
of which ONLY ONE choice is correct.
Q.1 A block of mass M is pulled along a horizontal frictionless
surface by a rope of mass m. If a force P is applied at the
free end of the rope, the force exerted by the rope on the
block will be -
(a)P (b)
Pm
Mm +
(c)
MP
Mm +
(d)   
mP
Mm +
Q.2 A body of mass 50 kg is pulled by a rope of length 8 m on
a surface by a force of 108N applied at the other end. The
force that is acting on 50 kg mass, if the linear density of
rope is 0.5 kg/m will be -
(a) 108 N (b) 100 N (c) 116 N (d) 92 N
Q.3 A rope of length 15 m and linear density 2 kg/m is lying
length wise on a horizontal smooth table. It is pulled by a
force of 25 N. The tension in the rope at the point 7 m
away from the point of application, will be -
(a) 11.67 N (b) 13.33 N
(c) 36.67 N (d) None of these
Q.4 A force of 100 N acts in the direction as shown in figure
on a block of mass 10 kg resting on a smooth horizontal
table. The speed acquired  by the block after it has .moved
a distance of 10 m, will be -
(in m/sec) (g = 10 m/sec
2
)
(a) 17 m/sec
(b) 13.17 m/sec
100N
30°
10kg
(c) 1.3 m/sec
(d) 1.7 m/sec
Q.5 In the above example, the velocity after 2 sec will be -
(in m/sec)
(a)
103
(b)
53
(c) 10 (d)5
Page 2


DIRECTIONS (Q.1-Q.20) : There are 20 multiple choice
questions. Each question has 4 choices (a), (b), (c) and (d), out
of which ONLY ONE choice is correct.
Q.1 A block of mass M is pulled along a horizontal frictionless
surface by a rope of mass m. If a force P is applied at the
free end of the rope, the force exerted by the rope on the
block will be -
(a)P (b)
Pm
Mm +
(c)
MP
Mm +
(d)   
mP
Mm +
Q.2 A body of mass 50 kg is pulled by a rope of length 8 m on
a surface by a force of 108N applied at the other end. The
force that is acting on 50 kg mass, if the linear density of
rope is 0.5 kg/m will be -
(a) 108 N (b) 100 N (c) 116 N (d) 92 N
Q.3 A rope of length 15 m and linear density 2 kg/m is lying
length wise on a horizontal smooth table. It is pulled by a
force of 25 N. The tension in the rope at the point 7 m
away from the point of application, will be -
(a) 11.67 N (b) 13.33 N
(c) 36.67 N (d) None of these
Q.4 A force of 100 N acts in the direction as shown in figure
on a block of mass 10 kg resting on a smooth horizontal
table. The speed acquired  by the block after it has .moved
a distance of 10 m, will be -
(in m/sec) (g = 10 m/sec
2
)
(a) 17 m/sec
(b) 13.17 m/sec
100N
30°
10kg
(c) 1.3 m/sec
(d) 1.7 m/sec
Q.5 In the above example, the velocity after 2 sec will be -
(in m/sec)
(a)
103
(b)
53
(c) 10 (d)5
2
DPP/ P 10
Q.6 Two blocks of mass m = 1 kg and M = 2 kg are in contact on
a frictionless table. A  horizontal force F(= 3N) is applied to
m. The force of contact between the blocks, will be-
(a) 2 N (b) 1 N (c) 4 N (d) 5 N
Q.7 A force produces an acceleration of 5 m/s
2
 in a body and
same force an acceleration of 15 m/s
2
 in another body.
The acceleration produced by the same force when  applied
to the combination of two bodies will be -
(a) 3.75 m/s
2
(b) 20 m/s
2
(c) 10 m/s
2
(d) 0.667 m/s
2
Q.8 What is the tension in a rod of length L and mass M at a
distance y from F
1
 when the rod is acted on by two unequal
forces F
1
 and F
2
 (<F
1
) as shown in fig
y
B A C
L
F
2 F
1 T T
(a)
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Q.9 A force produces acceleration 1 , 
1 11
,,
234
 , .........  (all in m/
s
2
), applied separetly to n bodies. If these bodies are
combined to form single one, then the acceleration of the
system will be, if same force is taken into account.
(a)
n
2
(b)
2
n(n 1) +
(c)
2
n
2
(d)  
2
n (n 1)
2
+
Q.10 Two blocks of masses 6 kg and 4 kg connected by a rope of
mass 2 kg are resting on frictionless floor as shown in fig. If a
constant force of 60 N is applied to 6 kg block, tension in the
rope at A, B, and C will respectively be -
F=60N 
P
Q
CBA
T
2kg
2kg
6kg
(a) 30 N, 25 N, 20 N (b) 25 N, 30 N, 20 N
(c) 20 N, 30 N, 25 N (d) 30 N, 20 N, 25 N
Q.11 The pulley arrangements of fig (a) and (b) are identical. The
mass of the rope is  negligible. In (a) the mass m is lifted up
by attaching a mass 2 m to the other end of the rope. In (b)
m is lifted up by pulling the other end of the rope with a
constant downward force F = 2 mg. Which of the following
is correct?
A
B 2m
m m
F=2mg
(a) (b)
(a) Acceleration in case (b) is 3 times more than that in
case (a)
(b) In case (a) acceleration is g, while in case (b) it is 2g
(c) In both the cases, acceleration is  same
(d) None of the above
Q.12 Three equal weights of mass m each are hanging on a string
passing over a fixed pulley as shown in fig. The tensions in
the string connecting weights A to B and B to C will
respectively be -
(a)
2
3
mg, 
2
3
mg
(b)
2
3
mg , 
4
3
mg
A
T
1
T
1
B
C
T
2
(c)
4
3
mg, 
2
3
mg
(d)
3
2
mg, 
3
4
mg
Q.13 In the situation shown in figure, both the pulleys and the
strings are light and all the surfaces are  frictionless. The
acceleration of mass M, tension in the string PQ and force
exerted by the clamp on the pulley, will respectively be -
(a) (2/3)g, (1/3)Mg, ( 2 /3)Mg
(b) (1/3)g, (1/3)Mg, ( 2 /3)Mg 
2M B
2Mg
A M
Q T’ T
T
(c) (1/3)g, (2/3)Mg, 3 Mg
(d) 2g, (1/2)g, 2 Mg
Page 3


DIRECTIONS (Q.1-Q.20) : There are 20 multiple choice
questions. Each question has 4 choices (a), (b), (c) and (d), out
of which ONLY ONE choice is correct.
Q.1 A block of mass M is pulled along a horizontal frictionless
surface by a rope of mass m. If a force P is applied at the
free end of the rope, the force exerted by the rope on the
block will be -
(a)P (b)
Pm
Mm +
(c)
MP
Mm +
(d)   
mP
Mm +
Q.2 A body of mass 50 kg is pulled by a rope of length 8 m on
a surface by a force of 108N applied at the other end. The
force that is acting on 50 kg mass, if the linear density of
rope is 0.5 kg/m will be -
(a) 108 N (b) 100 N (c) 116 N (d) 92 N
Q.3 A rope of length 15 m and linear density 2 kg/m is lying
length wise on a horizontal smooth table. It is pulled by a
force of 25 N. The tension in the rope at the point 7 m
away from the point of application, will be -
(a) 11.67 N (b) 13.33 N
(c) 36.67 N (d) None of these
Q.4 A force of 100 N acts in the direction as shown in figure
on a block of mass 10 kg resting on a smooth horizontal
table. The speed acquired  by the block after it has .moved
a distance of 10 m, will be -
(in m/sec) (g = 10 m/sec
2
)
(a) 17 m/sec
(b) 13.17 m/sec
100N
30°
10kg
(c) 1.3 m/sec
(d) 1.7 m/sec
Q.5 In the above example, the velocity after 2 sec will be -
(in m/sec)
(a)
103
(b)
53
(c) 10 (d)5
2
DPP/ P 10
Q.6 Two blocks of mass m = 1 kg and M = 2 kg are in contact on
a frictionless table. A  horizontal force F(= 3N) is applied to
m. The force of contact between the blocks, will be-
(a) 2 N (b) 1 N (c) 4 N (d) 5 N
Q.7 A force produces an acceleration of 5 m/s
2
 in a body and
same force an acceleration of 15 m/s
2
 in another body.
The acceleration produced by the same force when  applied
to the combination of two bodies will be -
(a) 3.75 m/s
2
(b) 20 m/s
2
(c) 10 m/s
2
(d) 0.667 m/s
2
Q.8 What is the tension in a rod of length L and mass M at a
distance y from F
1
 when the rod is acted on by two unequal
forces F
1
 and F
2
 (<F
1
) as shown in fig
y
B A C
L
F
2 F
1 T T
(a)
12
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(c)
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(d)
12
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Q.9 A force produces acceleration 1 , 
1 11
,,
234
 , .........  (all in m/
s
2
), applied separetly to n bodies. If these bodies are
combined to form single one, then the acceleration of the
system will be, if same force is taken into account.
(a)
n
2
(b)
2
n(n 1) +
(c)
2
n
2
(d)  
2
n (n 1)
2
+
Q.10 Two blocks of masses 6 kg and 4 kg connected by a rope of
mass 2 kg are resting on frictionless floor as shown in fig. If a
constant force of 60 N is applied to 6 kg block, tension in the
rope at A, B, and C will respectively be -
F=60N 
P
Q
CBA
T
2kg
2kg
6kg
(a) 30 N, 25 N, 20 N (b) 25 N, 30 N, 20 N
(c) 20 N, 30 N, 25 N (d) 30 N, 20 N, 25 N
Q.11 The pulley arrangements of fig (a) and (b) are identical. The
mass of the rope is  negligible. In (a) the mass m is lifted up
by attaching a mass 2 m to the other end of the rope. In (b)
m is lifted up by pulling the other end of the rope with a
constant downward force F = 2 mg. Which of the following
is correct?
A
B 2m
m m
F=2mg
(a) (b)
(a) Acceleration in case (b) is 3 times more than that in
case (a)
(b) In case (a) acceleration is g, while in case (b) it is 2g
(c) In both the cases, acceleration is  same
(d) None of the above
Q.12 Three equal weights of mass m each are hanging on a string
passing over a fixed pulley as shown in fig. The tensions in
the string connecting weights A to B and B to C will
respectively be -
(a)
2
3
mg, 
2
3
mg
(b)
2
3
mg , 
4
3
mg
A
T
1
T
1
B
C
T
2
(c)
4
3
mg, 
2
3
mg
(d)
3
2
mg, 
3
4
mg
Q.13 In the situation shown in figure, both the pulleys and the
strings are light and all the surfaces are  frictionless. The
acceleration of mass M, tension in the string PQ and force
exerted by the clamp on the pulley, will respectively be -
(a) (2/3)g, (1/3)Mg, ( 2 /3)Mg
(b) (1/3)g, (1/3)Mg, ( 2 /3)Mg 
2M B
2Mg
A M
Q T’ T
T
(c) (1/3)g, (2/3)Mg, 3 Mg
(d) 2g, (1/2)g, 2 Mg
DPP/ P 10
3
Q.14 A body of mass 50kg resting on a smooth inclined plane is
connected by a massless inextensible string passing over a
smooth pulley , at the top of the inclined plane have another
mass of 40 kg as shown in the figure. The distance through
which 50 kg mass fall in 4 sec will be -
(The angle of the inclined plane is 30º)
(a) 13.04 m
(b) 1.63m
(c) 1.304 m
C
40g
mgcos q
mgsin q
mg
q
B
T
T
(d) 16.3m
Q.15 A bob is hanging over a pulley inside a car through a string.
The second end of the string is in the hand of a person
standing in the car. The car is moving with constant
acceleration 'a' directed horizontally as shown in figure.
Other end of the string is pulled with constant acceleration
‘a’ vertically. The tension in the string is –
(a)
22
mga +
(b)
22
m g a ma +-
m
a
a
car
(c)
22
m g a ma ++
(d) m (g + a)
Q.16In the fig shown, the velocity of each
particle at the end of  4 sec will be -
A
T
T
B
a
11.5g
a
(a) 0.872 m/s
(b) 8.72 m/s
(c) 0.218 m/s
(d) 2.18 m/s
Q.17In the above example, the height
ascended or descended, as the case may
be, during that time i.e. 4 sec will be -
(a) 1.744 m (b) 17.44 m
(c) 0.1744 m (d) None of these
Q.18 In the above question, if at the end of 4 sec, the string be
cut, the position of each particle in next 2 seconds will
respectively be -
(a) 17.856 m, 21.344 m (b) –21.344 m, 17.856 m
(c) –17.856 m, 21.344 m (d) –17.856 m, –21.344 m
Q.19Consider the double Atwood’s
machine as shown in the figure.
What is acceleration of the masses ?
mg
m m
T
T
mg
m
T T
a
mg
a a
(a) g/3
(b) g/2
(c)g
(d) g/4
Q.20 In above question, what is the
tension in each string ?
(a) mg/3 (b) 4mg/3 (c) 2mg/3 (d) 5mg/3
DIRECTIONS (Q.21-Q.22) : In the following questions,
more than one of the answers  given are correct. Select the
correct answers and mark it according to the following codes:
Codes :
(a) 1, 2 and 3 are correct (b) 1 and 2 are correct
(c) 2 and 4 are correct (d) 1 and 3 are correct
Q.21Choose the correct options –
(1) Inertia µ mass (2) 1 newton = 10
5
 dyne
(3) Thrust on  rocket 
F
r
 = 
M
v Mg
t
D
-
D
r r
(4) Apparent weight of a body in the accelerated lift is
W = m (g + a).
Q.22Choose the correct statements –
(1) For equilibrium of a body under the action of
concurrent forces  
® ® ® ®
+ + +
n 3 2 1
F ..... F F F = 0
(2) If the downward acceleration of the lift is a = g, then
the body will experience weightlessness.
(3) If the downward acceleration of the body is a > g,
then the body will rise up to the ceiling of lift
(4) If the downward acceleration of the lift is a > g, then
the body will experience weightlessness.
DIRECTIONS (Q.23-Q.25) : Read the passage given below
and answer the questions that follows :
A bead of mass m is attached to one end of
a spring of natural length R and spring
constant 
( 3 1) mg
K
R
+
= . The other end of     
30°
A
B
the spring is fixed at point A on a smooth
ring of radius R as shown in figure. When
bead is released to move then
Page 4


DIRECTIONS (Q.1-Q.20) : There are 20 multiple choice
questions. Each question has 4 choices (a), (b), (c) and (d), out
of which ONLY ONE choice is correct.
Q.1 A block of mass M is pulled along a horizontal frictionless
surface by a rope of mass m. If a force P is applied at the
free end of the rope, the force exerted by the rope on the
block will be -
(a)P (b)
Pm
Mm +
(c)
MP
Mm +
(d)   
mP
Mm +
Q.2 A body of mass 50 kg is pulled by a rope of length 8 m on
a surface by a force of 108N applied at the other end. The
force that is acting on 50 kg mass, if the linear density of
rope is 0.5 kg/m will be -
(a) 108 N (b) 100 N (c) 116 N (d) 92 N
Q.3 A rope of length 15 m and linear density 2 kg/m is lying
length wise on a horizontal smooth table. It is pulled by a
force of 25 N. The tension in the rope at the point 7 m
away from the point of application, will be -
(a) 11.67 N (b) 13.33 N
(c) 36.67 N (d) None of these
Q.4 A force of 100 N acts in the direction as shown in figure
on a block of mass 10 kg resting on a smooth horizontal
table. The speed acquired  by the block after it has .moved
a distance of 10 m, will be -
(in m/sec) (g = 10 m/sec
2
)
(a) 17 m/sec
(b) 13.17 m/sec
100N
30°
10kg
(c) 1.3 m/sec
(d) 1.7 m/sec
Q.5 In the above example, the velocity after 2 sec will be -
(in m/sec)
(a)
103
(b)
53
(c) 10 (d)5
2
DPP/ P 10
Q.6 Two blocks of mass m = 1 kg and M = 2 kg are in contact on
a frictionless table. A  horizontal force F(= 3N) is applied to
m. The force of contact between the blocks, will be-
(a) 2 N (b) 1 N (c) 4 N (d) 5 N
Q.7 A force produces an acceleration of 5 m/s
2
 in a body and
same force an acceleration of 15 m/s
2
 in another body.
The acceleration produced by the same force when  applied
to the combination of two bodies will be -
(a) 3.75 m/s
2
(b) 20 m/s
2
(c) 10 m/s
2
(d) 0.667 m/s
2
Q.8 What is the tension in a rod of length L and mass M at a
distance y from F
1
 when the rod is acted on by two unequal
forces F
1
 and F
2
 (<F
1
) as shown in fig
y
B A C
L
F
2 F
1 T T
(a)
12
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LL
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(c)
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(d)
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Q.9 A force produces acceleration 1 , 
1 11
,,
234
 , .........  (all in m/
s
2
), applied separetly to n bodies. If these bodies are
combined to form single one, then the acceleration of the
system will be, if same force is taken into account.
(a)
n
2
(b)
2
n(n 1) +
(c)
2
n
2
(d)  
2
n (n 1)
2
+
Q.10 Two blocks of masses 6 kg and 4 kg connected by a rope of
mass 2 kg are resting on frictionless floor as shown in fig. If a
constant force of 60 N is applied to 6 kg block, tension in the
rope at A, B, and C will respectively be -
F=60N 
P
Q
CBA
T
2kg
2kg
6kg
(a) 30 N, 25 N, 20 N (b) 25 N, 30 N, 20 N
(c) 20 N, 30 N, 25 N (d) 30 N, 20 N, 25 N
Q.11 The pulley arrangements of fig (a) and (b) are identical. The
mass of the rope is  negligible. In (a) the mass m is lifted up
by attaching a mass 2 m to the other end of the rope. In (b)
m is lifted up by pulling the other end of the rope with a
constant downward force F = 2 mg. Which of the following
is correct?
A
B 2m
m m
F=2mg
(a) (b)
(a) Acceleration in case (b) is 3 times more than that in
case (a)
(b) In case (a) acceleration is g, while in case (b) it is 2g
(c) In both the cases, acceleration is  same
(d) None of the above
Q.12 Three equal weights of mass m each are hanging on a string
passing over a fixed pulley as shown in fig. The tensions in
the string connecting weights A to B and B to C will
respectively be -
(a)
2
3
mg, 
2
3
mg
(b)
2
3
mg , 
4
3
mg
A
T
1
T
1
B
C
T
2
(c)
4
3
mg, 
2
3
mg
(d)
3
2
mg, 
3
4
mg
Q.13 In the situation shown in figure, both the pulleys and the
strings are light and all the surfaces are  frictionless. The
acceleration of mass M, tension in the string PQ and force
exerted by the clamp on the pulley, will respectively be -
(a) (2/3)g, (1/3)Mg, ( 2 /3)Mg
(b) (1/3)g, (1/3)Mg, ( 2 /3)Mg 
2M B
2Mg
A M
Q T’ T
T
(c) (1/3)g, (2/3)Mg, 3 Mg
(d) 2g, (1/2)g, 2 Mg
DPP/ P 10
3
Q.14 A body of mass 50kg resting on a smooth inclined plane is
connected by a massless inextensible string passing over a
smooth pulley , at the top of the inclined plane have another
mass of 40 kg as shown in the figure. The distance through
which 50 kg mass fall in 4 sec will be -
(The angle of the inclined plane is 30º)
(a) 13.04 m
(b) 1.63m
(c) 1.304 m
C
40g
mgcos q
mgsin q
mg
q
B
T
T
(d) 16.3m
Q.15 A bob is hanging over a pulley inside a car through a string.
The second end of the string is in the hand of a person
standing in the car. The car is moving with constant
acceleration 'a' directed horizontally as shown in figure.
Other end of the string is pulled with constant acceleration
‘a’ vertically. The tension in the string is –
(a)
22
mga +
(b)
22
m g a ma +-
m
a
a
car
(c)
22
m g a ma ++
(d) m (g + a)
Q.16In the fig shown, the velocity of each
particle at the end of  4 sec will be -
A
T
T
B
a
11.5g
a
(a) 0.872 m/s
(b) 8.72 m/s
(c) 0.218 m/s
(d) 2.18 m/s
Q.17In the above example, the height
ascended or descended, as the case may
be, during that time i.e. 4 sec will be -
(a) 1.744 m (b) 17.44 m
(c) 0.1744 m (d) None of these
Q.18 In the above question, if at the end of 4 sec, the string be
cut, the position of each particle in next 2 seconds will
respectively be -
(a) 17.856 m, 21.344 m (b) –21.344 m, 17.856 m
(c) –17.856 m, 21.344 m (d) –17.856 m, –21.344 m
Q.19Consider the double Atwood’s
machine as shown in the figure.
What is acceleration of the masses ?
mg
m m
T
T
mg
m
T T
a
mg
a a
(a) g/3
(b) g/2
(c)g
(d) g/4
Q.20 In above question, what is the
tension in each string ?
(a) mg/3 (b) 4mg/3 (c) 2mg/3 (d) 5mg/3
DIRECTIONS (Q.21-Q.22) : In the following questions,
more than one of the answers  given are correct. Select the
correct answers and mark it according to the following codes:
Codes :
(a) 1, 2 and 3 are correct (b) 1 and 2 are correct
(c) 2 and 4 are correct (d) 1 and 3 are correct
Q.21Choose the correct options –
(1) Inertia µ mass (2) 1 newton = 10
5
 dyne
(3) Thrust on  rocket 
F
r
 = 
M
v Mg
t
D
-
D
r r
(4) Apparent weight of a body in the accelerated lift is
W = m (g + a).
Q.22Choose the correct statements –
(1) For equilibrium of a body under the action of
concurrent forces  
® ® ® ®
+ + +
n 3 2 1
F ..... F F F = 0
(2) If the downward acceleration of the lift is a = g, then
the body will experience weightlessness.
(3) If the downward acceleration of the body is a > g,
then the body will rise up to the ceiling of lift
(4) If the downward acceleration of the lift is a > g, then
the body will experience weightlessness.
DIRECTIONS (Q.23-Q.25) : Read the passage given below
and answer the questions that follows :
A bead of mass m is attached to one end of
a spring of natural length R and spring
constant 
( 3 1) mg
K
R
+
= . The other end of     
30°
A
B
the spring is fixed at point A on a smooth
ring of radius R as shown in figure. When
bead is released to move then
4
DPP/ P 10
Q.23 Initial elongation in the spring is –
(a)R (b) 2 R (c)
2R
(d)
3R
Q.24 The normal reaction force at B is –
(a)
mg
2
(b) 3mg (c) 3 3mg (d)
3 3mg
2
Q.25 Tangential acceleration of bead just after it is released.
(a)
g
2
(b)
3
g
4
(c)
g
4
(d)
2
g
3
DIRECTIONS (Qs. 26-Q.28) : Each of these questions contains
two statements: Statement-1 (Assertion) and Statement-2
(Reason). Each of these questions has four alternative choices,
only one of which is the correct answer. You have to select the
correct choice.
(a) Statement-1 is True, Statement-2 is True; Statement-2 is a
correct explanation for  Statement-1.
(b) Statement-1 is True, Statement-2 is True; Statement-2 is
NOT a correct explanation for Statement-1.
(c) Statement -1 is False, Statement-2 is True.
(d) Statement -1 is True, Statement-2 is False.
Q.26 Statement–1 In fig the ground is smooth and the masses
of both the blocks are different. Net force acting on each
of block is not same.
Statement– 2 Acceleration of the both  blocks will be
different.
F B
A
Q.27 Statement– 1 Block A is moving on horizontal surface
towards right under the action of force F. All surfaces are
smooth. At the instant shown the force exerted by block A
on block B is equal to net force on block B.
Statement– 2 From Newton’s third law of motion, the
force exerted by block A on B is equal in magnitude to
force exerted by block B on A.
F
B
A
Q.28 Statement– 1 : In the given fig.
21
12
mm
ag
mm
æö
,
÷ ç
÷ <ç
÷
ç
÷ ç
* èø
          
T
T
m
1
m
2
a
a
Statement– 2 : In the given  fig.,
12
12
mm
T
2mm
*
<
g