Show that the torque acting on a body is equal to the rate of change of angular momentum of the body.

Show that the torque acting on a body is equal to the rate of change o

1.	Show that the torque acting on a body is equal to the rate of change of angular momentum of the body.
Answer» Solution :We know that ANGULAR momentum , `vecL=vecrxxvecpor,vecL=vecrxxmvecv` `:." "(dvecL)/(DT)=(dvecr)/(dt)xxmvecv+vecrxx(d)/(dt)(mvecv)` `=vecvxxmvecv+vecrxxvecF=vecrxxvecF" "[becausevecvxxvecv=0]` =`vectau` So, the rate if CHANGE of angular momentum of a BODY is equal to the torque acting on the body.