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

## Rolling Motion

Rolling motion can be regarded as the combination of pure rotation and pure translation. The wheels of all vehicles running on a road have rolling motion. Let a disc of radius R rolling on a road without slipping. This means that at any instant of time the bottom of the disc which is in contact […]

## Angular Momentum In Case Of Rotation About A Fixed Axis

Let angular momentum is fixed about Z-axis. As we know the moment of inertia 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

## Relation Between Torque and Moment Of Inertia

As we know that the rotational kinetic energy of a rigid body is given by K.E = 1/2(Iω²) If the body has an angular acceleration α, its rotational kinetic energy will be change. We know that P = d/dt(K.E) [Rate of change of kinetic energy is known as power] NCERT Class 11 Physics Book PDF

## Work Done By A Torque

Let a body undergoes an angular displacement ∆θ under the action of a tangential force F. 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

## Kinetic Equations Of Rotational Motion About a Fixed Axis

As we know that the three equation of a linear motion are Where, the symbols have their usual meaning. In the similar way, we can write equations of motion for rotational motion such as Where, θ₀ and ω₀ are the initial angular displacement and initial angular velocity of the body, respectively. NCERT Class 11 Physics

## Theorems Of Perpendicular and Parallel Axis

Theorem Of Perpendicular Axis It state that the moment of inertia of a planner body about an axis perpendicular to its plane is equal to the sum of its moments of inertia about two perpendicular axis concurrent with perpendicular axis and lying in the plane of the body. Proof:- From the definition of moment of

The radius of gyration of a body about its axis of rotation may be define as the distance from the axis of rotation at which, if the whole mass of the body were concentrated, its moment of inertia about the given axis would be the same as with the actual distribution of mass. When the

## Moment Of Inertia

The property of a body by virtue of which, it opposes the torque tending to change its state of rest or of uniform rotation about an axis is called rotational inertia or moment of inertia. Let a rigid body rotating with uniform angular velocity ω about a vertical axis through O. Let the body consists

## Centre Of Gravity

If a body is supported on a point such that total gravitational torque about this point is zero, then this point is called centre of gravity of the body.

## Principle of Moment

When an object is in rotational equilibrium, then algebraic sum of all torques acting on it zero. Clock-wise torques are taken negative and Anti clock-wise torques are taken positive. We consider a rod of negligible mass is provided at some point like a see-saw or a lever. Pivot of lever is called fulcrum. NCERT Class

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