# A uniform solid circular cylinder of radius r is placed on a rough horizontal surface and given a linear velocity  and angular velocity  as shown in the figure. The speed of cylinder when it starts rolling Option 1) 5/2 Option 2) 3/2  Option 3) 5/3  Option 4) 2/3

As we learnt in

Law of conservation of angular moment -

- wherein

If net torque is zero

i.e.

angular momentum is conserved only when external torque is zero .

Whence

Option 1)

5/2

This solution is incorrect

Option 2)

3/2

This solution is incorrect

Option 3)

5/3

This solution is correct

Option 4)

2/3

This solution is incorrect

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