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)`

Centre of mass of the system lies inside disc or square plate and why ?

Find the centre of mass of a homogeneous semicircular plate of radius a.

A uniformly thick plate in the shape of an arrow head has dimensions as shown. The centre of mass lies at a point.

A uniform square plate of mass m is supported with its plane vertical as shown in the figure. Assume the centre of mass is on a horizontal the passing through A. If the cable at B breaks then just after that the angular acceleration of the plate is

A uniform square plate of mass m is supported with its plane vertical as shown in the figure. Assume the centre of mass is on a horizontal the passing through A. If the cable at B breaks then just after that the angular acceleration of the plate is

A slab of copper of thickness b is inserted in between the plates of a parallel plate capacitor as shown in figure. The separation of the plates is d. If b = d//2 , then the ratio of capacities of the capacitor after and before inserting the slab will be

A slab of copper of thickness b is inserted in between the plates of parallel plate capacitor as shown in figure. The separation of the plate is d . If b=d//2 , then the ratio of capacities of the capacitor after and before inserting that slab will be