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5. Motion of System of Particles and Rigid Body

The chapter covers the motion of systems of particles and rigid bodies, highlighting the concepts of center of mass, linear momentum, rotational motion, and torque. It also discusses conditions for equilibrium, providing examples of rigid body motion and real-life applications. Essential principles such as conservation of momentum and moment of inertia are introduced, illustrating the interconnections among these concepts in physics.

Sections

Motion of System of Particles and Rigid Body

The section discusses the motion of systems of particles and rigid bodies, introducing essential concepts such as center of mass, linear momentum, and rotational motion.

5 Section Overview

Start current section content and materials

5.1 Introduction

This section introduces the concepts of motion in systems of particles and rigid bodies, highlighting their importance in understanding physical interactions.

5.2 Centre of Mass

The Centre of Mass (COM) represents the average position of a system's mass, shifting relative to the mass distribution in multi-particle systems.

5.3 Motion of Centre of Mass

The section discusses how the center of mass (COM) of a system moves under external forces, illustrating this concept with real-world examples.

5.4 Linear Momentum of a System

This section explains the concept of linear momentum for a system of particles and introduces the law of conservation of momentum.

5.5 Rotational Motion

Rotational motion describes how bodies in a rigid state rotate around a fixed axis, characterized by angular displacement, velocity, and acceleration.

5.6 Moment of Inertia

Moment of inertia quantifies a body's resistance to changes in its rotational motion based on its mass and the distribution of that mass from its axis of rotation.

5.7 Torque

Torque is the rotational equivalent of force that causes angular acceleration in a rigid body.

5.8 Equilibrium of Rigid Bodies

This section discusses the conditions for the equilibrium of rigid bodies, including translational and rotational equilibrium.

5.9 Examples of Rigid Body Motion

This section provides real-world examples of rigid body motion, illustrating how rigid bodies behave under rotation and movement.

5.10 Real-Life Applications

This section explores various real-life applications of concepts related to the motion of systems of particles and rigid bodies.

Learning Objectives

  • Rigid bodies do not deform when force is applied, keeping the distance between particles constant.

  • The center of mass for a system of particles determines how the system behaves under external forces.

  • Net external forces and torques are critical for understanding the equilibrium of rigid bodies.

Key Concepts

Centre of Mass

A point representing the average position of the entire mass of a system.

Linear Momentum

The total momentum of a system, which is conserved in isolated systems unless affected by external forces.

Moment of Inertia

A measure of an object's resistance to changes in its rotational motion, depending on the mass distribution relative to an axis.

Torque

The rotational equivalent of force, which causes angular acceleration.

Equilibrium

A state where the net external force and net external torque acting on a body are zero.

Practice Exercises

Total Questions

3

Estimated Time

6 min

Passing Score

70%

Instructions

  • Read each question carefully
  • You can use hints if you need help
  • Complete all questions before submitting