Find the centre of mass of the disc shown in figure. . A square is removed from the disc as shown

Find the centre of mass of the shaded portion of a disc.

A disc of a mass M and radius R can rotate freely in vertical plane about a horizontal axis at O . Distant r from the centre of disc as shown in the figure. The disc is released from rest in the shown position. The angular acceleration of disc when OC rotates by an angles of 37^(@) is

A disc of mass M and radius R can rotate freely in a vertical plane about a horizontal axis at O distance r from the centre of the disc as shown in Fig. The disc is released from rest in the shown position. Answer the following questions based on the above information The angular velocity of the disc in the above described case is

A disc of mass M and radius R can rotate freely in a vertical plane about a horizontal axis at O distance r from the centre of the disc as shown in Fig. The disc is released from rest in the shown position. Answer the following questions based on the above information Reaction force exerted by the hinge on the disc at this instant is

Find the position of center of mass of the uniform lamina shown in figure, if small disc of radius alpha/2 is cut from disc of radius a.

A uniform disc having radius 2R and mass density sigma as shown in figure. If a small disc of radius R is cut from the disc as shown. Then find out the moment of inertia of remaining disc around the axis that passes through O and is perpendicular to the plane of the page.

Find the centre of mass of a unifrom (a) half-disc,(b) quarter-disc.