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 A solid sphere of mass and radius  is placed on a rough horizontal surface. It is struck by a horizontal cuestick at a height  above the surface. The value of  so that the sphere performs pure rolling motion immediately after it has been struck is

a)

b)

c)

d)


Question ID - 100232 | SaraNextGen Answer

 A solid sphere of mass and radius  is placed on a rough horizontal surface. It is struck by a horizontal cuestick at a height  above the surface. The value of  so that the sphere performs pure rolling motion immediately after it has been struck is

a)

b)

c)

d)

1 Answer - 5876 Votes

3537

Answer Key : (c) -

(c)

Let  be the velocity of the centre of mass of the sphere and  be the angular velocity of the body about an axis passing through the centre of mass

From the above two equations,

From the condition of pure rolling,



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