A spring in vertical position is bolted into fixed beam. When the spring is loaded with a 120 g object causing the spring to be displaced from its equilibrium position to 10 cm. It was loaded with a 150 g object then compressed forward. Neglecting air resistance and damping, the object-spring assembly was subjected to oscillating motion. Calculate the following for an amplitude of 35 cm.

a. the angular frequency in rad/s

b. period and frequency in seconds and hertz

c. maximum velocity in m/s

d. maximum acceleration

e. restoring force of the spring