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TOPIC 9: Dynamics of Rotational motion, CHAI YING YING A20SC0035 - Coggle…
TOPIC 9: Dynamics of Rotational motion
Angular Momentum
Rotational analog of linear momentum
unit: kgm^2/s
Rotational analog of Newton’s second law
-valid even I is not constant
The total angular momentum of a rotating objects remains constant if the net external torque acting on it is zero
Hence, if an object’s moment of inertia
changes, its angular speed changes
Torque as a
Vector
-written in determinant form
-using right hand rule
Angular Momentum of a Particle
since
hence
Angular Momentum and Torque for a
System of Particles; General Motion
Angular momentum of a system of particles can
change only if there is an external torque
-valid in any inertial reference frame
Angular Momentum and Torque for a
Rigid Object
Conservation of Angular Momentum
The total angular momentum of a system
remains constant if the net external torque
acting on the system is 0
If net torque is constant, dL/dt=0 and L=constant
Both linear and rotational momentum are conserved
CHAI YING YING
A20SC0035