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DYNAMICS OF ROTATIONAL MOTION, dropped image link, dropped image link, a)…
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 :
Example :
10.2 Vector Cross Product; Torque as a Vector
Using Right-hand rule
right hand grib rule
fleming right hand rule
written in determinant form :
Defination :
torque
- product of force and the vector from point of action of the force to the axis of rotation
10.4 Angular Momentum and Torque for a System Of Particles; General Motion
angular momentum can change when there is an external torque
valid for : origin of an inertial
reference frame & center of mass
10.6 Conservation of Angular Momentum
total angular momentum of a system remain constant if the net external torque acting on the system is
zero
Example :
10.3 Angular Momentum of a Particle
L = r x p
, where
p=mv
Derivation of
L
:
9.5 Angular Momentum and Torque for a Rigid Object
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
a) L = I
↑
ω
↓
b)L = I
↓
ω
↑
Relate to Newton's Second Law
Relationship between angular momentum and torque
WONG SIEW HAN A20SC0425
Angular momentum of particle :
