Find the expression for the acceleration of centre of mass.

Define centre of mass.

Find the expression for velocity of centre of mass.

A cylinder of mass M, radius R is kept on a rough horizontal plane at one extreme end of the platform at t = 0. Axis of the cylinder is parallel to z-axis. The platform is oscillating in the xy-plane and its displacement from origin is represented by x = 4 cos( 2pit ) metres. There is no slipping between the cylinder and the platfonn. Find the acceleration of the centre of mass of cylinder at t = 1/6 s

Define: Centre of mass

Two blocks of equal mass are released on two smooth sides of a duble inclined plane with a fixed base as shown in the figure. If each angle of inclination is 45^(@) , the acceleration of the centre of mass of the system of the two blocks is (Acceleration due to gravity =10" ms"^(-2) )

State the expression for the magnetic field at the centre of a full circle of a wire carrying a current I.

What is the concept of centre of mass ?

Derive an expression for the acceleration due to gravity at a depth d below the earth'ssurface

Answer the following question: Find the expression for the resistivity of a material.

When a solid sphere rolls down on an inclined plane of inclination 30^@ to the horizontal without slipping, acceleration of its centre of mass is