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BARC 2019: Engineering Mechanics Nuclear Quiz-1

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Question 1

A stone is dropped from a balloon going up with a uniform velocity of 10 m/s. if the balloon was 40 m high when the stone was dropped, the height of balloon from the ground when the stone hits the ground is (take g = 10 m/s2)

Question 2

Two blocks are connected by a light strings as shown in fig. The coefficient of friction at each surface is 0.25 and assumes the pulley is frictionless. The minimum value of m (in kg) for which system remain at rest is

Question 3

There is a car of mass m on a platform of mass M. The platform is kept on a smooth ice as shown in fig. If the car starts moving on the platform with a velocity V relative to platform then the velocity of platform recoil relative to ice is
                                       
                                       

Question 4

A plate of mass m and radius r slips on a rough horizontal plane. At some instant it has translation velocity V and rotational velocity V/3r. The translation velocity after the plate start pure rolling is

Question 5

Two blocks 1 and 2 of mass m and 2m respectively are connected by a string going over smooth pulley as shown in fig. Initially the system is at rest when a particle of mass m/2 falls on 2nd block.

If the particle strikes the 2nd block with a speed u, then the speed with which the system moves just after collision (in m/s) is

Question 6

A body, resting on a rough horizontal plane, required a pull of 200 N inclined at 30 ° to the plane just to move it. It was found that a push of 250 N inclined at 30 ° to the plane just moved the body. Find the value of coefficient of friction between the surfaces.

Question 7

A body is projected vertically upwards with an initial velocity u. What will be the maximum height that it can reach?

Question 8

A motor rotates at 400 revolutions per minute. What will be the angular velocity of the motor in rad/sec?

Question 9

The ratio of the mass moment of inertia of a hollow sphere and a solid sphere of equal mass and radius is-

Question 10

A uniform rod is supported on a hinge as shown in the figure. At an instant, F is removed, then what is the reaction on the hinge?
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