Systems of Part...

A mass m is moving with a constant velocity along a line parallel to x-axis. Its angular momentum with respect to origin or z-axis is

A small disc of radius 2 cm is cut from a disc of radius 6 cm. If the distance between their centres is 3.2 cm, what is the shift in the centre of mass of the disc?

A wheel of moment of inertia 5 × 10^–3 kg–m² is making 20 revolutions per second.It is stopped in 20 sec, then the angular retardation is

The flywheel is so constructed that the entire mass of it is concentrated at its rim, because

A reel of thread unrolls itself falling down under gravity. Neglecting mass of the thread, the acceleration of the reel is

When a uniform solid sphere and a disc of the same mass and of the same radius rolls down an inclined smooth plane from rest to the same distance, then the ratio of the time taken by them is

Two discs have same mass and thickness. Their materials are of densities ρ₁ and ρ₂. The ratio of their moment of inertia about central axis will be

The centre of mass of a body

Two spheres of masses 2M and M are initially at rest at a distance R apart. Due to mutual force of attraction, they approach each other. When they are at separation R/2, the acceleration of the centre of mass of spheres would be

An isolated particle of mass m is moving in a horizontal plane (X – Y) along the X-axis at a certain height above the ground. It suddenly explodes into two fragments of masses m/4 and 3m/4. An instant later, the smaller fragment is at y = 15 cm. The larger fragment of this instant is at