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A uniform rod of mass m and length L is ...

A uniform rod of mass `m` and length L is fixed to an axis, making an angle `theta` with it as shown in the figure. The rod is rotated about this axis so that the free end of the rod moves with a uniform speed ‘v’. Find the angular momentum of the rod about the axis. Is the angular momentum of the rod about point A constant?

Text Solution

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The correct Answer is:
`(1)/(3) mv L sin theta`, No
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Knowledge Check

  • 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`
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    D
    zero

  • 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

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

  • 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

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