A worker tries to move a rock by applying a $408-$N force $P$ to a steel bar as shown.

Two workers attempt to move the same rock by applying a vertical force at A and another force at $D.$ Determine these two forces if they are to be equivalent to the forcecouple system at $D.$

The two forces, $F_A=$ Ndarr and $F_D=N,$ are equivalent to the force$-$couple system obtained in part a$.$

While tapping a hole, a machinist applies the horizontal forces shown, $P=3\mathrm{.}400lb$ and $Q=3\mathrm{.}150lb,$ to the handle of the tap wrench. Show that these forces are equivalent to a single force, and specify, if possible, the point of application of the single force on the handle.

The single force is applied on an extension of handle $BD$ at a distance of in$.$ to

$q,$ the right of $B.$