Two objects, A and B, are connected by hinges to a rigid rod that has a length L. The objects slide along perpendicular guide rails as shown in the figure below. Assume object A slides to the left with a constant speed v.

(a) Find the velocity vB of object B as a function of the angle θ. (Use any variable or symbol stated above as necessary.)
vB =

(b) Describe vB relative to v. Is vB always smaller than v, larger than v, or the same as v, or does it have some other relationship?

Question

Two objects, A and B, are connected by hinges to a rigid rod that has a length L. The objects slide along perpendicular guide rails as shown in the figure below. Assume object A slides to the left with a constant speed v.

(a) Find the velocity vB of object B as a function of the angle θ. (Use any variable or symbol stated above as necessary.)
vB =

(b) Describe vB relative to v. Is vB always smaller than v, larger than v, or the same as v, or does it have some other relationship?