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The moment of inertia of cylinder of rad...

The moment of inertia of cylinder of radius a, mass M and height h about an axis parallel to the axis of the cylinder and distance b from its centre is :

A

`(1)/(2)M(a^(2)+2b^(2))`

B

`(1)/(2)M(2a^(2)+b^(2))`

C

`(1)/(2)M(a^(2)+b^(2))`

D

`(1)/(2)M(a^(2)/(3)+(b^(2))/(12))`

Text Solution

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The correct Answer is:
A
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Find the moment of inertia of a solid cylinder of mass M and radius R about a line parallel to the axis of the cylinder and on the surface of the cylinder.

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Knowledge Check

  • What is moment of inertia of a cylinder of radius r, along its height?

    A
    `mr^(2)`
    B
    `(mr^(2))/(2)`
    C
    `(2mr^(2))/(5)`
    D
    `(mr^(2))/(5)`
  • Moment of inertia of a hollow cylinder of mass M and radius r about its own axis is

    A
    `(2)/(3) Mr^(2)`
    B
    `Mr^(2)`
    C
    `(1)/(3) Mr^(2)`
    D
    `(1)/(2) Mr^2`
  • Moment of inertia of a hollow cylinder of mass M and radius R , about the axis of cylinder is

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