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BARC 2020:Theory of Machines Nuclear Quiz 1

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Question 1

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

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

Three masses m1, m2 and m3 of magnitude 50 kg, 100 kg and 200 kg are connected to a rotating shaft. The corresponding radiuses of rotation are 0.4 m, 0.2 m and 0.1 m respectively and angle between successive masses are 60 and 150. What is the magnitude of balancing mass if its radius of rotation is 0.3 m?

Question 5

The turbine rotor of a ship has a mass of 2000kg and it rotates at 1200rpm clockwise when viewed from the aft. The radius of gyration of the rotor is 300mm. Gyroscopic couple if the ship turns right at a radius of 240m with a speed of 30kmph is

Question 6

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 7

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 _________.

Question 8

For a vertical cylinder, The diameter of the piston is 60 mm and the mass of the reciprocating parts is 1.3 kg. At a point during the power stroke when the piston has moved from the top dead centre, the force due to gas pressure on the piston is 3 kN. If the acceleration force is 2 kN acting upward and take β = 10 °, find the thrust in the connecting rod. ______.

Question 9

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

Question 10

The Whitworth quick return motion mechanism has the driving crank 150 mm long. The distance between fixed centers is 100 mm. The line of stroke of the ram passes through the centre of rotation of the slotted lever whose free end is connected to the ram by a connecting link. The ratio of time of cutting stroke to that of time of return stroke is __________.
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