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GATE ME 2022: Theory of Machine

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Question 1

A slider- crank mechanism with crank radius 60 mm and connecting rod length 240 mm is shown.The crank is rotating with uniform angular speed of 10 rad/s, counter clockwise.For the given configuration, the speed in (m/s) of the slider is __________.

Question 2

The maximum primary force in kN in a three cylinder radial engine with axis 120 degrees to one another ,stroke length 100mm ,speed 2000 rpm and the reciprocating mass per cylinder is 2 kg is________.

Question 3

In a cam-follower mechanism, the follower moves with simple harmonic motion. The cam lift during 90 of cam rotation is 50 mm and the next 45 of cam rotation there is a dwell and further next 60 of cam rotation follower returns to its original position and finally dwell during the rest of the rotation of cam. The cam rotates at a uniform speed of 400 rpm. The maximum velocity and acceleration of follower during its ascent respectively are

Question 4

In a Hartnell governor with the range of speed is zero, when the radius of rotation of mass of ball is 40 mm the downward spring force is 120 N and when the radius of rotation is 60 mm the downward spring force is (in N)  ______________.

 

Question 5

A machine supported symmetrically on four springs has a mass of 80 kg. The mass of the reciprocating parts is 2.2 kg which move through a vertical stroke of 100 mm with simple harmonic motion. The machine rotates at 800 rpm. Assuming no damping, the combined stiffness of the springs, so that the force transmitted to the foundation is 1/20th of the impressed force will be _________ (N/mm).

Question 6

An epicyclic gear train is shown in the figure below. The number of teeths on A and B are 80 and 200. The speed of arm a if A rotates at 100 rpm clockwise and B is stationary, will be
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Jun 27ESE & GATE ME