Question

$\text{In a cam follower mechanism, the follower is undergoing simple harmonic motion. The maximum acceleration of the follower is\_\_\_\_\_\_\_\_\_\_\_\_\_.}$
$\text{(The cam rotational angle is}\varphi \text{for the given follower displacement and}\omega =\text{rotation speed of cam)}$

• A. $h{\left(\frac{\omega }{\varphi }\right)}^2$
• B. $\frac{h}{2}{\left(\frac{\pi \omega }{\varphi }\right)}^2$
• C. $h{\left(\frac{\pi \omega }{\varphi }\right)}^2$
• D. $\frac{h}{2}{\left(\frac{\omega }{\varphi }\right)}^2$

Answer 1

The correct option is A $h{\left(\frac{\omega }{\varphi }\right)}^2$

For the follower with SHM, displacement is given by

$s=\frac{h}{2}(1-\cos \left(\frac{\pi \omega t}{\varphi }\right))$

$\text{From the above, the maximum acceleration is}{a}_{\text{max}}=\frac{h}{2}{\left(\frac{\pi \omega }{\varphi }\right)}^2$