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Q. The figure shows a smooth inclined plane of inclination $\theta $ fixed in a car. A sphere is set in pure rolling on the incline. For what value of the acceleration of the car in the horizontal direction the sphere will continue pure rolling?
Question

NTA AbhyasNTA Abhyas 2022

Solution:


Solution
The sphere will continue pure rolling if
$ma \, \cos \theta = \, mg \, \sin ⁡ \theta $
or $ \, a=g \, \tan \theta $