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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
(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 (A)

B

in case (B)

C

both (A) and (B)

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
`tau =Ialpha` or `alpha = tau/I`
Here, as the force is applied at midpoint, `tau_(A) = tau_(B) = F xx L/2`
And as moment of interia depends on the distribution of mass w.r.t., the axis of rotation, hence,
`I_(A) gt I_(B) rArr alpha_(A) lt alpha_(B)` i.e., angular acceleration is more in case (B).
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