# Chapter-7(Systems of Particles and Rotational Motion)

## Couple

A pair of equal and opposite forces with parallel lines of action are known as a couple. A couple produces rotation without translation. Let a couple with forces -F and F acting at A and B points with position vector r₁ and r₂ with respect to some origin O. NCERT Class 11 Physics Book PDF […]

## Equilibrium of a Rigid Body

A Rigid body is said to be in equilibrium, if both of its linear momentum and angular momentum are not changing with time. Thus, equilibrium body does not posses linear acceleration or angular acceleration. This means, (I) The total force, i.e the vector sum of all forces acting on the rigid body is zero. That

## Conservation Of Angular Momentum

As we know That means L = Constant with time. Hence, without any external torque, Angular momentum of a system of particles remains constant. That is known as the conservation of angular momentum. NCERT Class 11 Physics Book PDF Free Download Also Read SL Arora Class 11 Physics Book PDF Free Download All In One

## Torque and Angular Momentum For A System Of Particles

For a system of particles or a rigid body with n-particles, the total angular momentum of the system is the vector sum of the angular momenta of the individual particles. Thus, the time rate of the total angular momentum of a system of particles about a point is equal to the sum of the external

## Relation Between Torque and Angular Momentum

We know that angular momentum L = r×p = m(r×v) Now, differentiating with respect to time So, the rate of change of angular momentum is equal to the torque applied. NCERT Class 11 Physics Book PDF Free Download Also Read SL Arora Class 11 Physics Book PDF Free Download All In One Arihant Class 11

## Angular Momentum Of a Particle

Angular momentum (L) can be defined as moment of Linear Momentum about a point. The angular momentum of a particle of mass m moving with velocity v (having a linear momentum p=mv) about a point is defined as Let a particle P of mass m rotating about an Axis through O in the x-y plane.

## Moment Of Force (Torque)

Torque is also known as moment of force or couple. When a force act on a particle does not merely move in the direction of the force, but it also turns about some point. So, we can define the torque for a particle about a point as the vector product of position vector of the

## Conservation Of Linear Momentum For System Of Particles

If external force is not acting on the system of particles, then Therefore, the rate of change of momentum is zero i.e momentum of system remains constant. The above expression represents the law of conservation of linear momentum for system of particles. If mass of the system is constant, then So, if net external force

## Newton’s Second Law For System Of Particles

The above expression represent Newton’s Second Law for system of particles. NCERT Class 11 Physics Book PDF Free Download Also Read SL Arora Class 11 Physics Book PDF Free Download All In One Arihant Class 11 Physics Book PDF Free Download NCERT Class 11 Physics Hand Written Notes Chapter-Wise

## Linear Momentum Of A System Of Particles

For a system of n-particles, total linear momentum is vector sum of linear momenta of individual particles. Where, linear momentum (P=mv). Thus, the total momentum of a system of particles is equal to the product of the total mass and velocity of its centre of mass. NCERT Class 11 Physics Book PDF Free Download Also

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