Q. A cylinder is released from rest from the top of an incline plane of inclination where friction coefficient varies with distance as . Find the distance travelled by the cylinder on incline before it starts slipping :

System of Particles and Rotational Motion Report Error

A

B

C

D

Solution:

Let friction is acting in backward direction

For sliding,

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1. A disc is rolling, the velocity of its centre of mass is . Which one of these will be correct ?

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2. The centre of mass of a system of three particles of masses and is taken as the origin of a coordinate system. The position vector of a fourth particle of mass such that the centre of mass of the four particle system lies at the point is a , where a is a constant. The value of is

3. Two particles of equal mass have velocities and . First particles has an acceleration while the acceleration of the other particle is zero. The centre of mass of the two particles moves in a path of

4. What is the torque of a force about the origin, if the force acts on a particle whose position vector is ?

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5. The angular velocity of a body is and a torque acts on it. The rotational power will be

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