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Assertion: Moment of inertia of a rigid ...

Assertion: Moment of inertia of a rigid body about any axis passing through its centre of mass is minimum
Reason: From theorem of parallel axis
`I=I_(cm)+Mr^(2)`

A

If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.

B

If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.

C

If assertion is true, but the reaction is false.

D

If assertion is false but the reason is true.

Text Solution

AI Generated Solution

To solve the assertion-reason question regarding the moment of inertia of a rigid body, we will analyze both the assertion and the reason step by step. ### Step 1: Understanding the Assertion The assertion states that "the moment of inertia of a rigid body about any axis passing through its center of mass is minimum." - **Explanation**: The moment of inertia (I) is a measure of how difficult it is to change the rotational motion of an object. The assertion claims that if you take any axis that passes through the center of mass of the body, the moment of inertia calculated about that axis will be the smallest possible value compared to any other axis. ### Step 2: Analyzing the Reason ...
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