JEE 2020 Revision Quiz: System of Particles and Rotational Motion - 1

Seven identical circular planar disks, each of mass M and radius R are welded symmetrically as shown. The moment of inertia of the arrangement about the axis normal to the plane and passing through the point P is:

Three rings each of mass m and radius r are so placed that they touch each other. The radius of gyration of the system about the axis as shown in the figure is:

Five homogeneous bricks, each of length L, are arranged as shown in figure. Each brick is displaced with respect to the one in contact by L/5. Find the x-coordinate of the centre of mass relative to the origin O shown.

Calculate the velocity of the centre of mass of the system of particle shown in figure.

A large wedge rests omn a horizontal frictionless surface as shown in figure. A block starts from rest and slides down the inclined surface of the wedge, which is rough. During the motion of the blcok and wedge system, the COM of the system.