Question

Show
that
dl/dt=
τ,
where
L
is
the
angular
momentum
and
τ
is
the


torque​

Answer 1

Torque=r×f

a.m.=r×p

differentiating both sides w.r.t.time

dL =d(r×p)

dt. dt

dr ×p+r×dp

dt. dt

v×p+r×f. ( by Newton II law)

Torque=dL

dt