For the gearing shown, derive an expression for the angular velocity v C of gear C and show that v C is independent of the radius of gear B. Assume that point A is fixed and denote the angular...

For the gearing shown, derive an expression for the angular velocity v_C
of gear C and show that v_C
is independent of the radius of gear B. Assume that point A is fixed and denote the angular velocities of rod ABC and gear A by v_ABC
and v_A, respectively.