DYNAMICS OF ROTATIONAL MOTION

10.1 Angular Momentum - Objects Rotating About a Fixed Axis

-angular momentum, L = Iω
-vector quantity (unit: kgm²/s)
-rotational analogue of the linear momentum, p=mv

Newton's Second Law : dropped image link

Example :

dropped image link

dropped image link

a) L = Iω

b)L = Iω

10.2 Vector Cross Product; Torque as a Vector

dropped image link

Using Right-hand rule

written in determinant form :

right hand grib rule

fleming right hand rule

dropped image link

Defination :torque- product of force and the vector from point of action of the force to the axis of rotation

dropped image link

dropped image link

10.4 Angular Momentum and Torque for a System Of Particles; General Motion

10.6 Conservation of Angular Momentum

10.3 Angular Momentum of a Particle

9.5 Angular Momentum and Torque for a Rigid Object

L = r x p , where p=mv

dropped image link

dropped image link

Derivation of L :

Relate to Newton's Second Law dropped image link

angular momentum can change when there is an external torque dropped image link

Relationship between angular momentum and torque

valid for : origin of an inertial
reference frame & center of mass dropped image link

For a rigid body , angular momentum L= Iω

System (rotational imbalanced)

the angular momentum and angular velocity in different direction

require vector to keep unbalancing system rotating

total angular momentum of a system remain constant if the net external torque acting on the system is zero

Example :
dropped image link

dropped image link

dropped image link

dropped image link

WONG SIEW HAN A20SC0425

Angular momentum of particle :