In rotation motion about a fixed axis,every particle of the rigid body moves in a circle which lies in a plane perpendicular to the axis and has its centre on the axis. Every point in the rotating rigid body has the same angular velocity at any instant of the time.
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Rotational Motion

Introduction
Rotational motion is the motion of an object around a fixed axis or a point. It is different from linear motion, where an object moves along a straight line. In rotational motion, an object rotates and has angular displacement, angular velocity, and angular acceleration.

Key Concepts
1. Angular Displacement: It is the angle through which an object rotates. It is measured in radians or degrees.
2. Angular Velocity: It is the rate of change of angular displacement. It is measured in radians per second (rad/s).
3. Angular Acceleration: It is the rate of change of angular velocity. It is measured in radians per second squared (rad/s^2).
4. Torque: It is the rotational equivalent of force. It is the product of force and the perpendicular distance from the axis of rotation. Torque causes rotational motion.
5. Moment of Inertia: It is a measure of an object's resistance to changes in its rotational motion. It depends on the shape and distribution of mass of the object.
6. Newton's Second Law for Rotational Motion: It states that the net torque acting on an object is equal to the product of its moment of inertia and angular acceleration.

Rotational Kinematics
1. Rotational Equations: The rotational kinematic equations relate angular displacement, angular velocity, angular acceleration, and time.
2. Conservation of Angular Momentum: In the absence of external torques, the total angular momentum of a system remains constant.

Rigid Body Rotation
1. Center of Mass: It is the point where the entire mass of an object can be considered to be concentrated.
2. Rotational Dynamics: The rotational motion of a rigid body can be analyzed using Newton's second law for rotational motion and the concept of torque.
3. Rotational Energy: The kinetic energy of a rotating object is given by the sum of the translational kinetic energy of its center of mass and the rotational kinetic energy about its center of mass.

Rolling Motion
1. Rolling without Slipping: When an object rolls without slipping, its linear velocity and angular velocity are related.
2. Rolling Friction: Rolling friction is generally less than sliding friction, making rolling motion more efficient.

Conclusion
Rotational motion is an important concept in physics, especially in the study of mechanics. Understanding the key concepts and principles of rotational motion is crucial for solving problems related to rotational dynamics and kinematics.