(Solved):
The slotted arm \( O B \) rotates in a horizontal plane about point \( O \) of the fixed circular ...
The slotted arm \( O B \) rotates in a horizontal plane about point \( O \) of the fixed circular cam with constant angular velocity \( \dot{\theta}=15 \mathrm{rad} / \mathrm{s} \). The spring has a stiffness of \( 5 \mathrm{kN} / \mathrm{m} \) and is uncompressed when \( \theta=0 \). The smooth roller \( A \) has a mass of \( 0.5 \mathrm{~kg} \). Determine the normal force \( N \) which the cam exerts on \( A \) and also the force \( R \) exerted on \( A \) by the sides of the slot when \( \theta=45^{\circ} \). All surfaces are smooth. Neglect the small diameter of the roller.