s10.1 Some concepts about rotation L=rxp=r×m L= myr V=xI v=⑦r then mor=mro L=mro (b)Moment of inertia of a particle define = mr then L=mro=lo 810.2 The time rate of change of angular momentum and torque 1. The time rate of change of angular momentum for a single particle L=r×P P) X D+rx dt dt dt d p=×p=vxmv=0 F dt dL =rX d rxF dt total4 L mvr L r p r mv = = × = × r r r r r v r v r ω ω = = × r r r r r p r o m ω r ω ω 2 2 then L = m r = mr (b) Moment of inertia of a particle ω r r 2 L = mr §10.1 Some concepts about rotation 2 I = mr ω ω r r r L = mr = I 2 define then §10.2 The time rate of change of angular momentum and torque 1. The time rate of change of angular momentum for a single particle t p p r t r r p t t L d d d d ( ) d d d d r r r r r r r = × = × + × L r p r r r = × total d d d d 0 d d r F t p r t L p v p v mv t r r r r r r r r r r r r Q ∴ = × = × × = × = × = r r F r θ o m