Oscillation, Motion and Energy
A loudspeaker diaphragm is oscillating in simple harmonic motion with a frequency of 461 Hz and a maximum displacement of 0.57 mm. What are the
(a) angular frequency,
(b) maximum speed, and
(c) magnitude of the maximum acceleration?
A 7.66 kg object on a horizontal frictionless surface is attached to a spring with k = 2460 N/m. The object is displaced from equilibrium 64.4 cm horizontally and given an initial velocity of 9.29 m/s back toward the equilibrium position. What are
(a) the motion’s frequency (in Hz),
(b) the initial potential energy of the block-spring system,
(c) the initial kinetic energy, and (d) the motion’s amplitude?
Please show work.