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A solid sphere is rolling down on an inclined plane from rest and a rectangular block of the same mass is also slipping down simultaneously from rest on a similar smooth inclined plane:
(a)both of them will reach the bottom simultaneously
(b)the sphere will reach the bottom first
(c)the rectangular block will reach the bottom first
(d)depends on density of material

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Important Questions on Rotational Mechanics
MEDIUM
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The ratio of time taken by a uniform solid sphere and disc of the same mass and the same diameter to roll down through the same distance from rest on a smooth inclined plane is:

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When a sphere of the moment of inertia rolls down on an inclined plane the percentage of total energy which is, rotational, is approximate:

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When a body starts to roll on an inclined plane, its potential energy is converted into:

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A body initially at rest and sliding along a frictionless track from a height (as shown in the figure) just completes a vertical circle of diameter . The height is equal to

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The location of centre of mass of a uniform semicircular plate of radius from its base is:

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A semicircular ring of the radius is given in the diagram. The location of centre of mass on its line of symmetry above its base will be:-

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Which of the following is true about the angular momentum of a cylinder rolling down a slope without slipping?

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A sphere and a disc of the same radii and mass are rolling on an inclined plane without slipping. and are acceleration and is the acceleration due to gravity. Then which statement is correct?
