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Only under gravity and some initial impu...

Only under gravity and some initial impulsea sphere cannot roll without sliding on :

A

A smooth horizontal surface

B

A smooth inclined surface

C

A rough horizontal surface

D

A rough inclined surface

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The correct Answer is:
B
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Assertion : A solid sphere cannot roll without slipping on smooth horizontal surface Reason : If the sphere is left free on smooth inclined surface. It cannot roll without slipping.

Show that in order to get a billiard ball to roll without sliding from the start the cue must hit the ball not at the center (that is, a height above the table equal to the ball's radius R) but exactly at a height 2/5 R above the center [Hint, Consider linear momentum and angular motion of the ball. Apply the condtion for rolling without sliding. F = ma and tau = F xx h = 2/5mR^(2)xx alpha . Condition rolling without a sliding it a =alphaR]

What is the minimum coefficient of friction for a solid sphere to roll without slipping on an inclined plane of inclination theta ?

A solid sphere is thrown up a rough incline. The sphere rolls up without slipping and eventually comes down rolling without slipping. The direction of friction during upward and downward motion respectively is :-

A solid sphere is rolling without slipping on rough ground as shown in figure. It collides elastically with another identical sphere at rest. There is no friction between the two spheres. Radius of each sphere is R and mass is m. Linear velocity of first sphere after it again starts rolling without slipping is:

A hollow sphere is released from top of an inclined plane of inclination 30° and length of inclined plane is I. If sphere rolls without slipping then its speed at bottom is

A uniform sphere of radius R has a spherical cavity of radius (R)/(2) (see figure). Mass of the sphere with cavity is M. The sphere is rolling without sliding on a rough horizontal floor [the line joining the centre of sphere to the centre of the cavity remains in vertical plane]. When the centre of the cavity is at lowest position, the centre of the sphere has horizontal velocity V. Find: (a) The kinetic energy of the sphere at this moment. (b) The velocity of the centre of mass at this moment. (c) The maximum permissible value of V ( in the position shown ) which allows the sphere to roll without bouncing

Statement-1: When a sphere is rolling without sliding it is possible that no point on it is at rest Statement-2: For rolling without sliding v_(CM)=omegaR ( omega&R have usual meaning & v_(CM) is w.r.t. ground)

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