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Accelerate JEE 2020:Centre of Mass and Rigid Body Dynamics Class 8 (14.09.2019)

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Question 1

A solid cylinder of mass M and radius R rolls without slipping down an inclined plane of length L and height h. What is the speed of its centre of mass when the cylinder reaches its bottom

Question 2

A body having a moment of inertia about its axis of rotation equal to 3 kg m2 is rotation with angular velocity of 3 rad s-1. Kinetic energy of this rotating body is same as that of a body of mass 27 kg moving with velocity v. The value of v is

Question 3

Each of the blocks shown in the figure has mass 1 kg. The rear block moves with a speed of 2 m/s towards the front block kept at rest. The spring attached to the front block is light and has a spring constant 50 N/m. Find the maximum compression of the spring.

Question 4

A 2 kg stone at the end of a string 1m long is whirled in a vertical circle at a constant speed. The speed of the stone is 4 m/sec. The tension in the string will be 52N. when the stone is-

Question 5

If after collision angular speed of disc reverses its direction to anticlockwise & angular speed becomes ω. Then find out the impulse due to normal reaction
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Sep 14JEE & BITSAT