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GATE 2022 ME: Theory of Machines Quiz - 6

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Question 1

What should be the angle between the two cylinder V line engine such that all the primary and secondary forces as well as couples are perfectly balanced.

Question 2

In a single-cylinder reciprocating engine, the mass of reciprocating parts is 55 kg and the mass of revolving parts is 30 kg. The speed of the engine is 200 rpm and the stroke length is 300 mm. If 65 % of the reciprocating parts and all the revolving parts are to be balanced then the required balance mass at a radius of 270 mm is ___ kg.

Question 3

Two masses m are attached to opposite sides of a rigid rotating shaft in the vertical plane. Another pair of equal masses m1 is attached to the opposite sides of the shaft in the vertical plane as shown in figure. Consider m = 1 kg, e = 50 mm, e1 = 20 mm, b = 0.2 m, a = 2 m and a1 = 2.5 m, For the system to be dynamically balanced, m1 should be _____kg.

Question 4

In the mechanism given below, if the angular velocity of the eccentric circular disc is 1 rad/s, the angular velocity (rad/s) of the follower link for the instant shown in the figure is

Note: All dimensions are in mm.

Question 5

In a cam design, the rise motion is given by a simple harmonic motion (SHM) where h is total rise, θ is camshaft angle, β is the total angle of the rise interval. The jerk is given by

Question 6

Angle of dwell of cam is defined as the angle
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