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MCQ Practice Test & Solutions: Theory of Machines & Vibrations - 1 (15 Questions)

You can prepare effectively for Mechanical Engineering GATE Mechanical (ME) Mock Test Series 2027 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Theory of Machines & Vibrations - 1". These 15 questions have been designed by the experts with the latest curriculum of Mechanical Engineering 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 45 minutes
  • - Number of Questions: 15

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Theory of Machines & Vibrations - 1 - Question 1

A combination of resistance bodies arranged to compel the mechanical forces of nature to do work accompanied by determinate motion is defined as

Theory of Machines & Vibrations - 1 - Question 2

A flywheel with a mass of 4 kg has a radius of gyration of 1 m. Find the increase in energy stored in the flywheel when its speed increases from 40 rad/s to 50 rad/s

Detailed Solution: Question 2

Additional energy stored =

= 1800 J

Theory of Machines & Vibrations - 1 - 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 _________.

Detailed Solution: Question 3



= 60 X 2 = 1200



Theory of Machines & Vibrations - 1 - 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?

Detailed Solution: Question 4

Given, T1 = 60

Pi = 1

N2 = 500 & r2 + r2= 100 mm

 = 30 mm

r = 100 − 30= 70 mm

= 1167 rev/min

Theory of Machines & Vibrations - 1 - Question 5

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

Detailed Solution: Question 5

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

Theory of Machines & Vibrations - 1 - Question 6

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

Detailed Solution: Question 6

Theory of Machines & Vibrations - 1 - 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)

Theory of Machines & Vibrations - 1 - Question 8

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

Theory of Machines & Vibrations - 1 - Question 9

For high speed engines, the cam follower should move with

Theory of Machines & Vibrations - 1 - 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

Detailed Solution: Question 10

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

Torsional stiffness = 

= 785.6 ×103 N− m

Theory of Machines & Vibrations - 1 - Question 11

Transmission angle is the angle between

Theory of Machines & Vibrations - 1 - Question 12

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

Theory of Machines & Vibrations - 1 - Question 13

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

Theory of Machines & Vibrations - 1 - 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 _________.

Theory of Machines & Vibrations - 1 - 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

Detailed Solution: Question 15



= 657.97 = atA = 658 m/s2

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