Let be twice differentiable with velocity

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Energy and Momentum of Rotating Systems · Energy and Momentum of Rotating Systems

Problem

Let

r(t)

be twice differentiable with velocity

v(t)=r'(t)

. The angular momentum of a particle of constant mass

m

is defined by

L(t)=m\, r(t)\times v(t)

. Derive a simplified expression for

L'(t)

in terms of

m

r(t)

, and

r''(t)