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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

Verified by Experts

If we compare between many parallel axes, then moment of inertial is least about that axis which passes through COM.
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Knowledge Check

  • Assertion : Moment of inertia about an axis passing throught centre of mass is always minimum Reason : Theorem of parallel axis can be applied for 2-D as well as 3-D bodies.

    A
    If both Assertion and Reason are correct and Reason is the correct explanation of Assertion
    B
    If both Assertion and Reason are true but Reason is not the correct explanation of Assertion
    C
    If Assertion is true but Reason is fasle
    D
    If Assertion is false but Reason is true

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    A
    I is always equal to `I_(0)`
    B
    I is always smaller than `I_(0)`
    C
    I is always greater than `I_(0)`
    D
    any of the above three

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    A
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    B
    changes if its axis of rotation is changed
    C
    increases if its angular velocity is increased
    D
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