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Question: Figure shows a smooth inclined plane of inclination q fixed in a car. A sphere is set in pure rollin...

Figure shows a smooth inclined plane of inclination q fixed in a car. A sphere is set in pure rolling on the incline. For what value of 'a' (the acceleration of car in horizontal direction) the sphere will continue pure rolling ?

A

gcosq

B

g sin q

C

g cot q

D

g tan q

Answer

g tan q

Explanation

Solution

The sphere will continue pure rolling if

mg cos q = mg sin q

or a = g tan q