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# Theory Of Machines And Vibrations - 1

## 15 Questions MCQ Test Mock Test Series - Mechanical Engineering (ME) for GATE 2020 | Theory Of Machines And Vibrations - 1

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This mock test of Theory Of Machines And Vibrations - 1 for GATE helps you for every GATE entrance exam. This contains 15 Multiple Choice Questions for GATE Theory Of Machines And Vibrations - 1 (mcq) to study with solutions a complete question bank. The solved questions answers in this Theory Of Machines And Vibrations - 1 quiz give you a good mix of easy questions and tough questions. GATE students definitely take this Theory Of Machines And Vibrations - 1 exercise for a better result in the exam. You can find other Theory Of Machines And Vibrations - 1 extra questions, long questions & short questions for GATE on EduRev as well by searching above.
QUESTION: 1

Solution:
QUESTION: 2

Solution:

= 1800 J

QUESTION: 3

### A crank slotted lever mechanism used in a shaper has a centre distance of 500 mm between the centre of oscillation of the slotted lever and the center of rotation of the crank. The radius of crank is 250 mm. The ratio of cutting stroke to return stroke time is _________.

Solution:

= 60 X 2 = 1200

QUESTION: 4

A shaft carrying 60 teeth, 1 teeth/mm diameteral pitch gear drives another gear at a speed of 500 rev/min. How fast does the 60 teeth gear rotate if the shaft center distance is 100 mm?

Solution:

Given, T1 = 60

Pi = 1

N2 = 500 & r2 + r2= 100 mm

= 30 mm

r = 100 − 30= 70 mm

= 1167 rev/min

QUESTION: 5

Which of the following mechanism satisfies the four bar linkages shown below?

Solution:

S + I = 4 + 8 ⇒ 12
P + q = 5 + 6 ⇒ 11
S ÷ I > p + q , therefore if is non-gearshift mechanism to type II mechanisms, are double – rocker

QUESTION: 6

In the linkage shown below, find the number of instantaneous centre

Solution:

QUESTION: 7

The Kutzbach criterion for determining the number of degrees of freedom (n) is (where l = number of links, j = number of joints and h = number of higher pairs)

Solution:
QUESTION: 8

The equation of motion of the washing machine model as shown in the figure is

Solution:
QUESTION: 9

For high speed engines, the cam follower should move with

Solution:
QUESTION: 10

A cantilever supports a shaft of 100 mm diameter, 1m long which has a mass 500 kg at the end of the shaft with a radius of gyration 450 mm. The frequency of the torsional vibration is _______ Hz. Take rigidity modulus as 80 GN/m2

Solution:

= 9.82 ×10−6 m4 ; I = 500 × 0.452
= 101.25kg − m2

Torsional stiffness =

= 785.6 ×103 N− m

QUESTION: 11

Transmission angle is the angle between

Solution:
QUESTION: 12

According to the Kennedy’s theorem, if the three bodies have relative motion among themselves then their instantaneous centers must lie in

Solution:
QUESTION: 13

When the slider moves on a fixed link having a curved surface then the instantaneous centre lies at

Solution:
QUESTION: 14

Six gears are having compound gear train. Gears (2) and (3) are on one shaft. Gear (4) and (5) are on one shaft. The tooth of the Gears 1, 2, 3, 4, 5 and 6 are 30, 60, 40, 20, 30 and 60 respectively. The Train value of the gear train is _________.

Solution:
QUESTION: 15

In Slider-crank mechanism shown in figure, crank O2 A rotates at a constant speed of 1000 rpm in clockwise direction. Determine the acceleration of the crank O2 A when θ2= 45° . Given that the crank length O2A = 6cm & rod length AB = 16cm

Solution:

= 657.97 = atA = 658 m/s2