A bead slides along a rod at a constant speed Vg relative to the rod. The rod is rotating counterclockwise in the xy-plane with constant angular velocity @ [2 pts]

(a) Determine the position vector for the bead7 = r(t)r(theta(t)) by identifying a formula for = r(t) and theta(1). (2 pts) (b) Eliminate time in the relationships: r = r(t) and theta(t) from part (a) to find an expression for the path of the particle (bead) of the form: r = r(theta). What is the shape of the path? [2 pts) (c) Use your expressions for r =r(t) and 0(t) to determine the velocity vector for the bead: = v,f + Vgi. [2 pts) (d) Use your expressions for r = r(1) and theta(1) to determine the acceleration vector for the bead: a = a,r+ ag theta [2 pts) (e) Is the circumferential acceleration of the bar, ae bar. equal to the circumferential acceleration of the bead? You must justify your answer to receive any credit.