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A triangular plate of uniform thickness ...

A triangular plate of uniform thickness and density is made to rotate about an axis perpendicular to the plane of the paper and (a) passing through A,(b) passing through B, by the application of the same force, F, at C (midpoint of AB) as shown in the figure. The angular acceleration in both the cases will be the same.

Text Solution

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`tau=I_(a)`, therefore `alpha=tau/L`
`tau=` Force `xx` Perpendiclar distance
Torque is the same in both the cases. But since I will be different due to different mass distribution about the axis, therefore `alpha` will be different.
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Knowledge Check

  • A triangular plate of uniform thickness and density is made to rotate about an axis perpendicular to the plane of the paper and (i) passing through A , (ii) passing through B , by the application of some force F at C (mid - point AB) as shown in the figure. In which case angular acceleration is more ? .

    A
    In case (i)
    B
    In case (ii)
    C
    Both (i) and (ii)
    D
    None of these

  • The M.L. of a uniform disc about the diameter is 1. Its M.I. about an axis perpendicular to its plane and passing through a point on its rim is

    A
    4I
    B
    5I
    C
    6I
    D
    I

  • Consider a uniform square plate of of side and mass m . The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is -

    A
    `(5)/(6) ma^(2)`
    B
    `(1)/(12) ma^(2)`
    C
    `(7)/(12) ma^(2)`
    D
    `(2)/(3) ma^(2)`