Home Physics System of Particles and Rotational Motion

System of Particles and Rotational Motion

Centre of mass of a two-particle system, momentum conservation and centre of mass motion. Centre of mass of a rigid body; centre of mass of a uniform rod. Moment of a force, torque, angular momentum, law of conservation of angular momentum and its applications. Equilibrium of rigid bodies, rigid body rotation and equations of rotational motion, comparison of linear and rotational motions. Moment of inertia, radius of gyration, values of moments of inertia for simple geometrical objects (no derivation). Statement of parallel and perpendicular axes theorems and their applications.

Rolling Motion

The combination of rotational motion and the translation motion of a rigid body is known as rolling motion. The kinetic energy associated with a body...

Moment of Inertia

The inertia of rotational motion is called the moment of inertia. It is denoted by L. Moment of inertia is the property of an object...

Rigid body Rotation and Equation of Rotational motion

The resultant torque acting on the body must be zero. The sum of anti-clockwise torques about any axis must be equal to the sum...

Equilibrium of Rigid Bodies

A rigid body is said to be in mechanical equilibrium if both its linear momentum and angular momentum are not changing with time, or...

Angular Momentum (ρ)

The quantity of rotational motion in a body is called its angular momentum. Thus angular momentum plays the same role in rotational motion as...

Moment of force (Torque)

The motion of a rigid body, in general, is a combination of rotation and translation. If the body is fixed at a point or...

Centre of mass of a Uniform Rod

Suppose a rod of mass M and length L is lying along the x-axis with its one end at x = 0 and the...

Linear Momentum of a system of Particles

The linear momentum of a particle is defined as p = m v Let us also recall that Newton’s second law written in symbolic form for...

Motion of Centre of Mass

The definition of the centre of mass, we are now in a position to discuss its physical importance for a system of particles. …………..(3) Differentiating...

The centre of mass

The centre of mass of a system of particles moves as if all the mass of the system was concentrated at the centre of...