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General Physics I:

Subsection 4.11.1 Rotational Equilibrium

If the force is applied at an angle \(\theta\) to the radius vector, then the lever arm is \(r\times\sin\theta\text{.}\) An object in rotational equilibrium has no net external torque, i.e., sum of all external torques = 0. Remember that "rotational equilibrium" may mean that the object is either not rotating or may be rotating with a constant angular velocity.
\begin{equation*} \Gamma = 0 \end{equation*}
(3-D vector problems.)