There is a thin uniform disc of radius R and mass per unit area `sigma`, in which a hole of radius R/2 has been cut out as shown in the figure. Inside the hole a square plate of same mass per unit area `sigma` is inserted so that its corners touch the periphery of the hole. Find centre of mass of the system.

There is a thin uniform disc of radius R and mass per unit area σ in which a hole of radius R//2 has been cut out as shown in the figure. Inside the hole, a square plate of same mass per unit area σ is inserted so that its corners touch the periphery of the hole. The distance of the centre of mass of the system from the origin is

There is a thin uniform disc of radius R and mass per unit area σ in which a hole of radius R//2 has been cut out as shown in the figure. Inside the hole, a square plate of same mass per unit area σ is inserted so that its corners touch the periphery of the hole. The distance of the centre of mass of the system from the origin is

Figure shows a uniform disc of radius R , from which a hole of radius R/2 has been cut out from left of the centre and is placed on the right of the centre of the disc. Find the CM of the resulting disc.

Figure shows a uniform disc of radius R , from which a hole of radius R/2 has been cut out from left of the centre and is placed on the right of the centre of the disc. Find the CM of the resulting disc.

Find the centre of mass of a thin, uniform disc of radius R from which a small concentric disc of radius r is cut.

The figure shows a disc of radius 3R from which a circular hole of radius R is cut as shown in the figure. The distance of the centre of mass of the remaining object from the point O is

The figure shows a disc of radius 3R from which a circular hole of radius R is cut as shown in the figure. The distance of the centre of mass of the remaining object from the point O is

A disc has mass 9 m. A hole of radius R/3 is cut from it as shown in the figure. The moment of inertia of remaining part about an axis passing through the centre 'O' of the disc and perpendicular to the plane of the disc is :

A disc has mass 9 m. A hole of radius R/3 is cut from it as shown in the figure. The moment of inertia of remaining part about an axis passing through the centre 'O' of the disc and perpendicular to the plane of the disc is :