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A uniform rod of mass m and length l mak...

A uniform rod of mass m and length l makes a constant angle `theta` with an axis of rotation which passes through one end of the rod. Its moment of inertia about this axis is

A

`(ml^(2))/(3)`

B

`(ml^(2))/(3)sintheta`

C

`(ml^(2))/(3)sin^(2)theta`

D

`(ml^(2))/(3)cos^(2)theta`

Text Solution

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The correct Answer is:
c
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Knowledge Check

  • A uniform rod of mass m and length / makes a constant angle theta with an axis of rotation which passes through one end of the rod. Its moment of inertia about this axis is

    A
    `(ml^(2))/(3)`
    B
    `(ml^(2))/(3) sin theta`
    C
    `(ml^(2))/(3) sin^(2) theta`
    D
    `(ml^2)/(3) cos^(2) theta`

  • A uniform rod AB of mass m and length L rotates about a fixed vertical axis making a constant angle theta with it as shown in figure. The rod is rotated about this axis, so that point B the free end of the rod moves with a uniform speed V in the horizontal plane then the angular momentum of the rod about the axis is:

    A
    `(1)/(2)mVLcostheta`
    B
    `(1)/(3)mVLsintheta`
    C
    `mVLsincostheta`
    D
    zero

  • The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its mid-point and perpendicular to its length is I_0 . Its moment of inertia about an axis passing through one of its ends perpendicular to its length is.

    A
    `I_0 + ML^2//4`
    B
    `I_0 + 2 ML^2`
    C
    `I_0 + ML^2`
    D
    `I_0 + ML^2//2`

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