EXERCISE $2\mathrm{.}54$ A hydraulic piston in arm $AB$

controls the arm's length, thereby moving the

collar. Guide bar CDE is circular, and it lies in

the vertical plane. At the highest position $D$ it

is known that $L^{}=10\frac{m}{s}$ and $L^{}=0.$ Determine

the speed of the collar and the rate of change of

the speed at that location.

Compute vec$(R),$vec$(V),$vec$(A)$ expressed with spherical

coordinates for the collar at location D $.$

Exercise $2\mathrm{.}54$

Also compute hat$({)}_R^{},$hat$({)}_{}^{},$hat$({)}_{}^{}$ expressed with

spherical coordinates at location D$.$