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A right triangular plate ABC of mas m is...

A right triangular plate `ABC` of mas `m` is free to rotate in the vertical plane about a fixed horizontal axis through `A`. It is supported by a string such that the side `AB` is horizontal. The reaction at the support `A` is :
.

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The correct Answer is:
5

`((2mg)/3)`
The `FBD` fo plate it as shown in figure,

for transtional equilibrium
`mg=R+T`
For rotational equilibrium,
`Rxxl/3=Txx(2l)/3`
`rArrR=(2mg)/3`
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