(Solved): SUBJECT: Mechanical Vibration 1.4. A spring-loaded cam follower follows an eccentric radius \( r \) ...

1.4. A spring-loaded cam follower follows an eccentric radius \( r \) and eccentricity \( e \). The mass of the follower is \( m \), and the spring has a spring constant \( k \) and a natural length that is longer than its maximum length in position by an amount equal to \( 2 e \). (a) Show that for small \( e / r \) the follower has a simple harmonic motion when the eccentric rotates with uniform angular speed \( \omega_{f} \). (b) What is the maximum allowable \( \omega_{\text {f }} \) so that the follower will not leave the cam? Lxercise \( 1.4 \)