Question

Which condition ensures translational equilibrium but allows rotational motion?

Options

• \[\sum\vec{F}=\vec{0}\mathrm{~and}\sum\vec{\tau}=\vec{0}\]

• \[\sum\vec{F}=\vec{0}\] and \[\sum\vec{\tau}\neq\vec{0}\]

• \[\sum\vec{F}\neq\vec{0}\mathrm{~and}\sum\vec{\tau}=\vec{0}\]

• \[\sum\vec{F}\neq\vec{0}\] and \[\sum\vec{\tau}\neq\vec{0}\]

Answer 1

\[\sum\vec{F}=\vec{0}\] and \[\sum\vec{\tau}\neq\vec{0}\]

Explanation:

Zero net force prevents translation; nonzero net torque permits rotation, as with a couple.