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GATE ME 2022: Theory of Machine-5

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Question 1

As per the Kennedy’s theorem, the instantaneous centres of three links having relative motion lies on a __________.

Question 2

A slender rod weighing 140 N is held by a frictionless pin at A and by a spring having a spring constant of 8.80 N/mm at B. The natural frequency of oscillation for small vibrations will be ______ Hz.

Question 3

An epicyclic gear train consists of an arm and two gears A and B having 30 and 40 teeth respectively. The arm rotates about the centre of the gear A at a speed of 100 rpm counterclockwise. Determine the speed of the gear B(magnitude) if the gear A revolves at 300 rpm clockwise.

Question 4

The number of degrees of freedom for the mechanism shown below will be ___________.

Question 5

A mass of 10kg is attached between two spring having stiffness  15kN/m & 10kN/m respectively.The frequency of the system is (in Hertz)

Question 6

The expression for the ratio of the heights of Porter governor of equal length of arms and links, to the height of a Watt governor is:
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Jul 13ESE & GATE ME