A 4 kg mass is connected to a spring (k = 730 N/m) platform which undergoes simple harmonic motion in the vertical direction. The amplitude of the oscillation is 5 cm. At t=0 the box is 5 cm above the equilibrium position.
(a) What is the period of oscillation?
s
(b) What is the angular frequency of the box?
rad/s
(c) What is the velocity of the box at the equilibrium position?
m/s
(d) What is the total energy of the 4 kg block?
J
(e) What is acceleration (magnitude and direction) of the box after 5 s (assume mass is at +A at t = 0 s.)?
m/s2