Multiple choice

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

  1. $\frac{h}{2}\bigg(1-cos\frac{\pi \theta}{\beta}\bigg)$
  2. $\frac{\pi}{\beta}\frac{h}{2}sin\bigg(\frac{\pi \theta}{\beta}\bigg)$
  3. $\frac{\pi^2}{\beta^2}\frac{h}{2}cos\bigg(\frac{\pi \theta}{\beta}\bigg)$
  4. $-\frac{\pi^3}{\beta^3}\frac{h}{2}cos\bigg(\frac{\pi \theta}{\beta}\bigg)$
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D Correct answer
Explanation