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 some force F at C (mid-point of AB) as shown in Fig. In which case is angular acceleration more?

A
in case (a)
B
in case (b)
C
both (a) and (b)
D
None of These

Solution:

$α = \frac{τ}{I}$ ,Here, as the force is applied at midpoint, $τ_{A} = τ_{B}$ . And as moment of inertia depends on the distribution of mass w.r.t. the axis of rotation, hence $I_{A} > I_{B} o r α_{A} > α_{B}$ . i.e., angular acceleration is more in case (b).

Solution:

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