Question

Write the relation between torque and angular momentum

Answer 1

Hey !!

We know that,

Torque,           τ = r × F

Angular momentum,     L = r × p

On differentiating both sides w.r.t time t, we get

         dL/dt = d/dt (r × p) = dr/dt × p × r × dp/dt

          = v × p + r × F                      [∴ dp/dt = F]

            = 0 + τ

∵              τ = dL/dt

Thus, the torque acting on a particle is equal to its rate of change of angular momentum.

Good luck !!

Answer 2

Answer:

We know :

τ = F × d x .

Kinematics and dynamics are have common analogy .

As in Kinematics there is Force there here in dynamics there is torque .

Linear momentum here angular momentum.

We know :

F =  d P / d t

Here :

τ = d L / d t

Where L is angular momentum and t is time .