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BARC 2021 ME: Theory of Machine : Nuclear Quiz 1
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Question 1
The number of degrees of freedom for the mechanism shown below will be ___________.
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Question 2
A four bar mechanism PQRS having PQ = 20 mm, QR = 40 mm, RS = 30 mm, SP = 55 mm. If PQ is fixed, then which type of mechanism formed?
Question 3
A vibrating system is analysed and it is found that two successive oscillations have ampiltudes of 4 mm and 1.5 mm respectively. Find the damping factor
Question 4
A punching press is required to punch 40 mm diameter holes in a plate of 15 mm thickness at the rate of 30 holes per minute. It requires 6 N-m of energy per mm2 of sheared area. If the punching takes 1/10 of a second and the r.p.m. of the flywheel varies from 160 to 140, determine the mass of the flywheel having radius of gyration of 1 metre
Question 5
Two gear 20 and 60 teeth respectively are in mesh. Pressure angle is 20
, module is 12 and line of contact on each side of the pitch point is half the maximum length. What will be the height of addendum for the gear wheel _________.
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Question 6
A link OB is rotating with an angular velocity of 4 rad/s and constant acceleration of 2 rad/s2 respectively in clockwise direction. The block is sliding radially outward on it with a uniform velocity of 1 m/s with respect to rod. The magnitude of absolute acceleration (in m/s2) of the block at an instant when OA = 1 m is
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Question 7
Vibrating system consists of a mass of 50 kg, a spring with a stiffness of X kN/m and a damper. The damping provided is 20% of the critical value. The damped frequency is 24 rad/s. Then X (kN/m) is _________.
Question 8
Consider a cantilever beam, having negligible mass and uniform flexural rigidity, with length 0.01 m. The frequency of vibration of the beam, with a 0.5 kg mass attached at the free tip, is 100 Hz. The flexural rigidity (in N.
) of the beam is ________
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Question 9
The time variation of the position of a particle in rectilinear motion is given by
x = 2t3 + t2+ 2t. If v is the velocity and a the acceleration of the particle in consistent units, the motion started with
Question 10
A planar mechanism has 8 links and 10 rotary joints. The number of degrees of freedom of the mechanism, using Gruebler’s criterion, is
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