A solid sphere rolls down two different inclined planes of …

Physics System of Particles Rotational Motion Mix MCQ (Single Correct)

A solid sphere rolls down two different inclined planes of the same heights but different angles of inclination. In both cases

The speed and time of descend will be same.

The speed will be same but time of descend will be different.

The speed will be different but time of descend will be same.

Speed and time of descend both are different.

Text Solution

Verified by Experts

The correct answer is:

: Speed of the rolling body at the bottom of inclined plane is.

Where h is ithe height of the inclined plane, k and R be radius of gyration and radius of the body respectively.

For solid sphere,

As h is same in both the cases, therefore speed will be same in both cases.

Time of descend,

Where is angle ofjk inclination

For solid sphere,

As h is same but is different in both the cases, hance time of descend will be different inboth the cases.

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