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

• A. \(\frac{h}{2}\left( {1 - \cos \frac{{\pi \theta }}{\beta }} \right)\)
• B. \(\frac{\pi \omega}{\beta }\frac{h}{2}\sin \left( {\frac{{\pi \theta }}{\beta }} \right)\)
• C. \(\frac{{{\pi ^2 \omega^2}}}{{{\beta ^2}}}\frac{h}{2}\cos \left( {\frac{{\pi \theta }}{\beta }} \right)\)
• D. \(- \frac{{{\pi ^3\omega^3}}}{{{\beta ^3}}}\frac{h}{2}\sin \left( {\frac{{\pi \theta }}{\beta }} \right)\)