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12 Questions around this concept.
A solid sphere, a hollow sphere and a ring are released from the top of an inclined plane ( (frictionless ) so that they slide down the plane. Then maximum acceleration down the plane is for (no rolling)
When a body of mass m and radius R rolls down an inclined plane having an angle of inclination () and at height ‘h’
By conservation of mechanical energy
Where V=Velocity at the lowest point
And,
Similarly using
And angular acceleration =
And we know that
And torque due to friction force =
So,
As
So Condition for pure rolling on an inclined plane
Where = limiting coefficient of friction
And let t= time taken by the body to reach the lowest point
So using
We get,
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