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GATE ME 2022: Theory of Machine (App update required to attempt this test)

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Question 1

Equation of damping vibration is given

find the natural frequency (Hz) of damped vibration

Question 2

The equation of motion for a spring-mass system excited by a harmonic force is Where M is the mass, K is the spring stiffness, F is the force amplitude and ω is the angular frequency of excitation. Resonance occurs when ɷ is equal to.

Question 3

A spur pinion of pitch diameter 50 mm rotates at 200 rad/s and transmits 3 kW power. The pressure angle of the tooth of the pinion is 20 °. Assuming that only one pair of the teeth is in contact, the total force (in newton) exerted by a tooth of the pinion on the tooth on a mating gear is ________

Question 4

A ball and socket joint is example of _______ pair.

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

The portion of the path of contact from the pitch point to the end of contact is called _________
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