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ISRO 2018 Theory of Machines & Vibration Booster Quiz 1

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Question 1

The string, the spring and the pulley shown in figure are light. The time period of the mass m?

Question 2

In a spring, if mass is energy stored, then:

Question 3

Speed of particle executing simple harmonic motion with amplitude a is half of the maximum speed. At that instant, displacement of the particle is

Question 4

If the rotation mass of a rim type flywheel is distributed on another rim type flywheel whose mean radius is half the mean radius of the former, then energy stored in the later at the same speed will be

Question 5

The number of degree of freedom of a five link plane mechanism with five revolute pairs as shown in the figure is

Question 6

An epicyclic gear train is shown schematically in the adjacent figure.
The sun gear 2 on the input shaft is a 20 teeth external gear. The planet gear 3 is a 40 teeth external gear. The ring gear 5 is a 100 teeth internal gear. The ring gear 5 is fixed and the gear 2 is rotating at 60 rpm ccw (ccw = counter-clockwise and cw = clockwise).
The arm 4 attached to the output shaft will rotate at

Question 7

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 8

An offset slider-crank mechanism is shown in the figure at an instant. Conventionally, the Quick Return Ratio (QRR) is considered to be greater than one. The value of QRR is ____________

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