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) ?

In a cam design, the rise motion is given by a simple harmonic motion (SHM) $s=\frac{h}{2}\left(1-\mathrm{cos}{\displaystyle \frac{\mathrm{\pi \theta}}{\beta}}\right)$ where h is total rise, θ is camshaft angle, β is the total angle of the rise interval. The jerk is given by