Question

A rigid body is rotating with an angular velocity $ \vec{\omega }, $ torque acting on it is $ \vec{t} $ and an angular momentum is $ \vec{L}. $ Then relation between $ \vec{t} $ and $ \vec{L} $ is :

• A. $ \vec{t}=\vec{\omega }\times \vec{L} $
• B. $ \vec{t}=\vec{L}\frac{d\vec{\omega }}{dt} $
• C. $ \vec{t}=\vec{\omega }\frac{d\vec{L}}{dt} $
• D. $ \vec{t}=\frac{dL}{dt} $

Answer 1

Answer: (D)

Torque is equal to rate of change of angular momentum $ \overrightarrow{\tau }=\frac{d\overrightarrow{L}}{dt} $