Consider a rotating disk cam and a translating roller follower with zero offset. Which one of the following pitch curves, parameterized by t, lying in the interval 0 to 2π, is associated with the maximum translation of the follower during one full rotation of the cam rotating about the center at (x, y) = (0, 0)?
x(t) = cost, y(t) = sint
x(t) = cost, y(t) = 2 sint
x(t) =(1/2) + cost, y(t) = 2sint
x(t) =(1/2) + cost, y(t) = sint
Correct answer is option 'C'. Can you explain this answer?