Question:
A solid sphere rolls down two different inclined planes of same height, but of different inclinations. In both cases
A solid sphere rolls down two different inclined planes of same height, but of different inclinations. In both cases
Updated On: Jun 20, 2022
- speed and time of descent will be same
- speed will be same, but time of descent will be different
- speed will be different, but time of descent will be same
- speed and time of descent both are different
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The Correct Option is B
Solution and Explanation
In pure rolling, mechanical energy remains conserved. Therefore, when heights of inclines are equal, speed of sphere will be same in both the cases. But as acceleration down the plane, $a \propto \sin \theta$ therefore, acceleration and time of descent will be different.
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Concepts Used:
System of Particles and Rotational Motion
- The system of particles refers to the extended body which is considered a rigid body most of the time for simple or easy understanding. A rigid body is a body with a perfectly definite and unchangeable shape.
- The distance between the pair of particles in such a body does not replace or alter. Rotational motion can be described as the motion of a rigid body originates in such a manner that all of its particles move in a circle about an axis with a common angular velocity.
- The few common examples of rotational motion are the motion of the blade of a windmill and periodic motion.