Systems of Part...

From a circular disc of radius R and mass 9 M, a small disc of radius R/3 is removed. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through O is

A ladder is leaned against a smooth wall and it is allowed to slip on a frictionless floor. Which figure represents trace of its centre of mass ?

Three identical spheres, each of mass 1 kg are kept as shown in the Fig, touching eachother, with their centres on a straight line. If their centres are marked P, Q, R respectively, the distance of centre of mass of the system from P is

Four holes of radius R are cut from a thin square plate of side 4 R and mass M. The moment of inertia of the remaining portion about Z-axis is

A disc of radius R rolls on a horizontal ground with linear acceleration a and angular acceleration α as shown in Fig., The magnitude of acceleration of point P at an instant, when its linear velocity is υ and angular velocity is ω will be

Two thin discs each of mass M and radius r metre are attached as shown to form a rigid body. The rotational inertia of this body about an axis perpendicular to the plane of disc B and passing through its centre is

The moment of inertia of a uniform rod of length 2 l and mass m about an axis xx passing through its centre and inclined at an angle α is

A cube is placed on an inclined plane of inclination θ as shown in Fig. Coefficient of friction between the cube and the plane is μ. As angle θ is gradually increased, the cube slides before toppling if