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GATE 2019: Engineering Mechanics Quiz-3

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Question 1

As shown in figure, a person A is standing at the centre of the rotating platform facing person B who is riding bicycle, heading east. The relevant speed and distance are shown in figure. At the instant under consideration what is the apparent velocity of B as seen by A?

Question 2

The analysis of motion of a airplane was carried out. If the airplane enters a low air pressure pocket than the motion analyses in this case is referred to as;

Question 3

Two disks A and B with identical mass (m) and radius (R) are initially at rest. They roll down from the top of identical inclined planes without slipping. Disk A has all of its mass concentrated at the rim, while Disk B has its mass uniformly distributed. At the bottom of the plane, the ratio of velocity of the center of disk A to the velocity of the center of disk B is.

Question 4

A force of 400 N is applied to the brake drum of 0.5 m diameter in a band-brake system as shown in the figure, where the wrapping angle is 180 °. If the coefficient of friction between the drum and the band is 0.25, the braking torque applied, in N.m is

Question 5

The initial velocity of an object is 40 m/s. The acceleration a of the object is given by the following expression:
a = -0.1v,
where v is the instantaneous velocity of the object. The velocity of the object after 3 seconds will be ____

Question 6

A bullet spins as the shot is fired from a gun. For this purpose, two helical slots as shown in the figure are cut in the barrel. Projections A and B on the bullet engage in each of the slots.

Helical slots are such that one turn of helix is completed over a distance of 0.5 m. If velocity of bullet when it exits the barrel is 20 m/s, its spinning speed in rad/s is_________
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