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Assertion : Moment of inertia about an a...

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

Text Solution

Verified by Experts

The correct Answer is:
B
When comparing between parallel axes moment of inertia about an axis passing through centre of mass is minimum.
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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)

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Knowledge Check

  • The parallel axis theorem can be applied to

    A
    any two parallel axes
    B
    any two parallel-axes of which one must lie within the body
    C
    any two parallel-axes of which one must pass through the centre of mass of the body.
    D
    any two parallel axes lying in the plane of the body

  • Moment of inertia of a rod is minimum, when the axis passes through

    A
    it end
    B
    its centre
    C
    at a point midway between the end and centre
    D
    at a point `1/8` length from centre

  • A solid sphere of mass M, radius R and having moment of inertia about an axis passing through the centre of mass as J, is recast into a disc of thickness t, whose moment of inertia about an axis passing through its edge and perpendicular to its plane remains J. Then, radius of the disc will be

    A
    `(2R)/(sqrt(15))`
    B
    `Rsqrt(2/15)`
    C
    `(4R)/(sqrt(15))`
    D
    `R/4`

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    What is the moment of inertia of a hollow sphere about an axis passing through its centre ?

    If I_(0) is the moment of inertia body about an axis passing through its center of mass. The moment about a parallel axis and at distance d is I=I_(0)+Md^(2) . The variation of I with d is

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