Question

define the angular momentum and torque? prove that the time rate of charge of angular momentum is equal to the applied external torque

Answer 1

Answer:

Explanation:

Hey mate,.

Consider a particle of mass m and linear momentum at a p bar position r bar relative to the origin O. The angular momentum L of the particle with respect to the origin O is defined to be

L bar= r (bar) × p (bar)

Magnitude of the angular momentum vector is

L = rp sinθ

Where, p is the magnitude of  p(bar) and θ is the angle between r(bar)and p(bar)

L bar= r (bar) × p (bar)

Differentiating with respect to time,

dL÷dt=d÷dt { r (bar) × p (bar)}

Then, the velocity of the particle is v= dr(bar)÷ dt and p= mv(bar)

Because of this, (dr÷dt)×p(bar)=mv=0

∴Equation (i) becomes

r×(dp÷dt)=r×F=tou bar

Hence, 

dL÷dt=torque

Hope it will help you

✌️Sai

Answer 2

Angular momentum

the quantity of rotation of a body, which is the product of its moment of inertia and its angular velocity.

Torque

Torque is the twisting force that tends to cause rotation.

Proof ====!!!!!

Check the attachment