Problem $3$: The $\backslash (10-$l b $\backslash )$ collar starts from rest at A and is lifted by applying a constant vertical force of $\backslash ($ F$=\backslash )25$ lb to the cord. For more information, please refer to Figure $3.$ If the rod is smooth, determine:

A$)$ Power developed by the force at the instant $\backslash (\backslash$theta$=60^\{\backslash$circ$\}\backslash ).(8$ points$)$

B$)$ Velocity as a function of distance along the rod. $(12$ points$)$

Figure $3$: Problem $3$