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A homogeneous plate PQRST is as shown in...

A homogeneous plate `PQRST` is as shown in figure. The centre of mass of plate lies at midpoint `A` of segment `QT`. Then the ratio of `(b)/(a)` is `(PQ=PT=b,QR=RS=a)`

A

`(13)/(4)`

B

`(13)/(2)`

C

`sqrt((13)/(2))`

D

`sqrt((13)/(4))`

Text Solution

Verified by Experts

The correct Answer is:
D
If centre of mass is at `A`
`a^(2)sigma(a)/(2)=sigma(1)/(2)ab sin theta(1)/(3) b sin theta`
or `(b)/(a)=sqrt((13)/(4))`
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