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GATE 2019: Machine Design Quiz 4

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Question 1

A multi disc clutch employs 4 steel and 3 bronze discs having outer diameter of 250 mm and inner diameter of 125 mm. if the coefficient of friction is 0.3 and axial force on each pair of surfaces is 10 KN, then the torque transmitted (assuming uniform wear) is _________.

Question 2

A centrifugal type of clutch is used to transmit a torque of 150 Nm. The shoe material has friction coefficient of 0.3 and weight of each shoe is 5kg. The distance from of CG of shoe from center of the drum is 40mm. If the angular velocity is 0.5 rad/sec, the centrifugal force generated is; (Take g = 10 m/s2)

Question 3

A block brake is shown in the figure, is subjected to braking torsional moment of 500 Nm. What is the position of pivot i.e. the value of a (in mm) for self-locking condition in clockwise direction to occur?
Take coefficient of friction = 0.3

Question 4

A mass of 2000 kg is currently being lowered at a velocity of 2 m/s from the drum as shown in the figure. The mass moment of inertia of the drum is 150 kg-m2. On applying the brake, the mass is brought to rest in a distance of 0.5 m. The energy absorbed by the brake (in kJ) is

Question 5

A four-wheel vehicle of mass 1000 kg moves uniformly in a straight line with the wheels revolving at 10 rad/s. The wheels are identical, each with a radius of 0.2 m. Then a constant braking torque is applied to all the wheels and the vehicle experiences a uniform deceleration. For the vehicle to stop in 10 s, the braking torque (in N.m) on each wheel is

Question 6

A clutch has outer and inner diameters 100 mm and 40 mm respectively. Assuming a uniform pressure of 2 MPa and coefficient of friction of linear material 0.4, the torque carrying capacity of the clutch is
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