SaraNextGen Study App [2022-23]
Last Updated On 23-10-2022 - By Sara

 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 :-

 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
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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,



Next Question :

A sphere is placed rotating with its centre initially at rest in a corner as shown in figures (a) and (b). Coefficient of friction between all surfaces and the sphere is 1/3. Find the ratio of the friction forces  by ground in situation (a) and (b)

a)

1

b)

c)

d)

None of these


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