When the torque acting on a rotating body is zero then what will remain constant?

Question

When the torque acting on a rotating body is zero then what will remain constant? (A) Force (B) Linear momentum (C) Angular momentum (D) All the above

Tardigrade Admin · Accepted Answer

Torque τ =(dL/dt)=0 Then (dL/dt)=0 ∴ L= constant So, if torque is zero, then angular momentum will be constant.

Q. When the torque acting on a rotating body is zero then what will remain constant?

Force

Linear momentum

Angular momentum

All the above

Torque $τ = \frac{d L}{d t} = 0$ Then $\frac{d L}{d t} = 0$ $∴$ L= constant So, if torque is zero, then angular momentum will be constant.

Q. When the torque acting on a rotating body is zero then what will remain constant?

Force

Linear momentum

Angular momentum

All the above

Torque τ=dtdL​=0 Then dtdL​=0 ∴ L= constant So, if torque is zero, then angular momentum will be constant.

Torque $τ = \frac{d L}{d t} = 0$ Then $\frac{d L}{d t} = 0$ $∴$ L= constant So, if torque is zero, then angular momentum will be constant.