1.

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

Answer»

`(13)/(4)`
`(13)/(2)`
`sqrt((13)/(2))`
`sqrt((13)/(4))`

Solution :(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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