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The moment of inertia of a uniform semic...

The moment of inertia of a uniform semicircular disc of mass disc through the centre is

A

`(2)/(5)Mr^2`

B

`(1)/(4)Mr^2`

C

`(1)/(2)Mr^2`

D

`Mr^2`

Text Solution

Verified by Experts

The correct Answer is:
C
(c ) The disc may be assumed as combination of two semi
circular parts.
Let I be the moment of inertia of the uniform semicircular
disc
`rArr 2I = (2Mr^2)/(2) rArr I=(Mr^2)/(2)`
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Knowledge Check

  • The moment of inertia of a uniform semi - circular disc about an axis passing through its centre of mass and perpendicular to its plane is ( Mass of this disc is M and radius is R ) .

    A
    `(MR^2)/2-M((2R)/pi)^2`
    B
    `(MR^2)/2-M((4R)/pi)^2`
    C
    `(MR^2)/2+M((4R)/(3pi))^2`
    D
    `(MR^2)/2+M((2R)/(pi))^2`

  • The moment of inertia of a uniform circular disc of mass M and radius R about any of its diameters is 1/4 MR^(2) . What is the moment of inertia of the disc about an axis passing through its centre and normal to the disc?

    A
    `MR^(2)`
    B
    `1/2MR^(2)`
    C
    `3/2 MR^(2)`
    D
    `2MR^(2)`

  • The moment of inertia of a uniform circular disc of mass M and of radius R about one of its diameter is

    A
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    B
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    D
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