DYNAMICS OF ROTATIONAL MOTION

ANGULAR MOMENTUM; OBJECTS ROTATING AT FIXED POINTS

Angular momentum, L= iw

L is conserved when there is no external torque

w change when moment of inertia change

Rotational analog of Newton's 2nd Law Screenshot (203)

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VECTOR CROSS PRODUCT; TORQUE AS VECTOR

a vector

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Direction cross product defined by right-hand rule

click to edit

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Screenshot (206)

Can also be written in determinant form

ANGULAR MOMENTUM OF A PARTICLE

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ANGULAR MOMENTUM & TORQUE FOR A SYSTEM PARTICLES

The angular momentum of a system of particles can
change only if there is an external torque

Screenshot (209)

Screenshot (208)

ANGULAR MOMENTUM & TORQUE

Screenshot (212)

When the system is rotationally imbalanced :

L and w is not in the same direction

A torque is required to keep the same picture

CONSERVATION OF ANGULAR MOMENTUM

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