Question

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))`

Answer 1

Correct Answer - 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))`