Systems of Part...

Two identical balls each of radius 10 cm are placed touching each other. The distance of their centre of mass from the point of contact is

The reduced mass of the system of two particles of masses M and 2 M will be

Mass is distributed uniformly over a thin square plate. If two end points of a diagonal are (–2, 0) and (2, 2), what are the coordinates of centre of mass of plate ?

In the above question, where do the fragments P and Q hit the ground from the point of projection ?

A hoop of mass M and radius R is suspended on a peg in a wall. Its moment of inertia about the peg is

M.I. of a thin rod of mass M and length l about an axis through its centre is Ml²/12. Its M.I. about a parallel axis through end of rod is

Three point masses, each of mass m are placed at the corners of an equilateral of triangle of side l. Moment of inertia of this system about an axis along one side of triangle is

A stone of mass 4 kg is whirled in a horizontal circle of diameter 2 m. If it makes 5 rps, then M.I. of stone about the axis of rotation is

An inclined plane makes an angle of 30^o with the horizontal. A solid sphere rolling down the inclined plane from rest without slipping has a linear acc. equal to

About which axis in the following fig. the moment of inertia of the rectangular lamina is maximum ?