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A uniform solid sphere of radius  is rolling on a smooth horizontal surface with velocity  and angular velocity . The sphere collides with a sharp edge on the wall as shown in Figure. The coefficient of friction between the sphere and the edge . Just after the collision the angular velocity of the sphere becomes equal to zero. The linear velocity of the sphere just after the collision is equal to

a)

b)

c)

d)



Question ID - 100525 | SaraNextGen Top Answer

A uniform solid sphere of radius  is rolling on a smooth horizontal surface with velocity  and angular velocity . The sphere collides with a sharp edge on the wall as shown in Figure. The coefficient of friction between the sphere and the edge . Just after the collision the angular velocity of the sphere becomes equal to zero. The linear velocity of the sphere just after the collision is equal to

a)

b)

c)

d)

1 Answer
127 votes
Answer Key / Explanation : (a) -

(a)

Impulse provided by the edge in the horizontal direction:

  …(i)

Friction impulse in the vertical direction

    …(ii)

From Eqs. (i) and (ii), we get

 and

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