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A rectangular plate of mass 20 kg is sus...

A rectangular plate of mass 20 kg is suspended from points A and B as shown. If the pin B is suddenly removed, then determine the angular acceleration ( in rad/sec^(2)) of the plate.

A

48

B

19.6

C

29.4

D

23.6

Text Solution

Verified by Experts

a) When plate starts to rotate about point A, then
`rho = mg1/2` `(therefore mgl/2)`
or `lalpha=mgl/2`
Here, l =0.2 m, b=0.15m
`therefore` `d^(2)= l^(2)/4 + b^(2)/4 = ((0.2)^(2))4 + (0.15)^(2)/4 = 0.0625/4`
`therefore` the moment of inertia about vertical axis passing through point A is
`I = I_(c) + md^(2) = m/12(l^(2)+b^(2))+ md^(2)`
`=20/12{(0.2)^(2)+(0.15)^(2)}+20 xx (0.0625)/4`
On putting the values, `alpha=48rad/s^(2)`
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