CHAPTER 10 : DYNAMICS OF ROTATIONAL MOTION

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Angular Momentum - Objects Rotating About a Fixed Axis

Vector Cross Product; Torque as a Vector

Angular Momentum of a particle

Angular Momentum and Torque for a System of Particles; General Motion

Angular Momentum and Torque for a Rigid Object

Conservation of Angular Momemtum

Torque, τ= dL/dt = rF (unit:kg⋅m2⋅s−2)

Angular momentum, L=Iω = rp = rmv(unit:kg m2 s−1)

when moment of inertia,I is large, ω is small

no external torque = angular momentum conserved

Angular Momentum is vector (magnitude+direction)

Torque (Vector) can be defined using right hand rule image

cross product can be written in determinant form image

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Angular momentum, L=Iω

torque keeps an unbalanced system rotate

no L when rotational imbalanced

If no external torque acting on the system is zero, total angular momentum of a system remains constant