complete note of ROTATIONAL DYNAMICS Class 12;
Rotational dynamics complete note Class ;12
Rotational Dynamics is the study of the motion of objects that rotate around an axis. It is a very important topic in Physics and is extensively covered in Class 12 syllabus. In this note, we will cover the key concepts of Rotational Dynamics.
Rotational Motion:
In rotational motion, an object moves in a circular path around an axis of rotation. The axis can be internal or external to the object. The motion of the object is characterized by the angle of rotation, the angular velocity, and the angular acceleration.
Angular displacement:
Angular displacement is the change in the angle of rotation of an object. It is measured in radians and is denoted by the symbol θ.
Angular velocity:
Angular velocity is the rate of change of angular displacement of an object with respect to time. It is measured in radians per second (rad/s) and is denoted by the symbol ω.
Angular acceleration:
Angular acceleration is the rate of change of angular velocity of an object with respect to time. It is measured in radians per second squared (rad/s²) and is denoted by the symbol α.
Moment of Inertia:
Moment of Inertia is a measure of an object's resistance to rotational motion. It is denoted by the symbol I and is calculated by the sum of the products of the masses of the object's parts and their respective distances from the axis of rotation.
Torque:
Torque is the rotational equivalent of force. It is the product of force and the perpendicular distance from the axis of rotation to the line of action of the force. It is measured in Newton-meters (Nm) and is denoted by the symbol Ï„.
Newton's Second Law for Rotational Motion:
Newton's Second Law for Rotational Motion states that the net torque acting on an object is equal to the product of the object's moment of inertia and its angular acceleration.
Conservation of Angular Momentum:
Conservation of Angular Momentum states that the total angular momentum of an object or a system of objects remains constant unless acted upon by an external torque.
Rolling Motion:
Rolling motion is a combination of rotational and translational motion. In this motion, an object rolls without slipping on a surface.
Gyroscopic Motion:
Gyroscopic motion is the motion of a spinning object around an axis. This motion has many practical applications, such as in gyroscopes, which are used in navigation systems, aircraft stability systems, and more.
These are some of the key concepts of Rotational Dynamics that are covered in Class 12 syllabus. Understanding these concepts and their applications is essential for a deeper understanding of Physics.
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