.Moment of inertia and torque. The moment of inertia of a rigid body about an axis of rotation is numerically equal to the external torque required to produce a unit angular acceleration in the body BOUT THE GIVEN AXIS. MATHEMATICALLY: .Law of conservation of angular momentum. If no external torque acts on a system, the total angular momentum of the system remains unchanged. Mathematically: For translational equilibrium of a body, ==0 For rotational equilibrium of a rigid body, 1.The following table gives a summary of the analogy between various quantities describing linear motion and rotational motion. s.no. Linear motion s.no. Rotational motion 1. Distance/displacement (s) 1. or angular displacement () Angular velocity, 2. Linear velocity, 2. Angular acceleration= 3. Linear acceleration, 3. Moment of inertia () Mass (m) Angular momentum, 4. Linear momentum, 4. Torque, 5. Force, 5. Also, torque, 6. Also, force 6.
.Moment of inertia and torque. The moment of inertia of a rigid body about an axis of rotation is numerically equal to the external torque required to produce a unit angular acceleration in the body BOUT THE GIVEN AXIS. MATHEMATICALLY: .Law of conservation of angular momentum. If no external torque acts on a system, the total angular momentum of the system remains unchanged. Mathematically: For translational equilibrium of a body, ==0 For rotational equilibrium of a rigid body, 1.The following table gives a summary of the analogy between various quantities describing linear motion and rotational motion. s.no. 1. 2. 3. 4. 5. 6. Linear motion Distance/displacement (s) Linear velocity, Linear acceleration, Mass (m) Linear momentum, Force, Also, force s.no. 1. 2. 3. 4. 5. 6. Rotational motion or angular displacement () Angular velocity, Angular acceleration= Moment of inertia () Angular momentum, Torque, Also, torque,
CLASS%20XI%20PHYSICS.docx