Question

Problem 1 A simple harmonic oscillator consists of a block (m = 0.50 kg) attached to a spring (k = 128 N/m). The block is pulled a certain distance from the equilibrium position and released at t = 0 s. The block slides on a horizontal frictionless surface about the equilibrium point x = 0 m with a total mechanical energy of 16 J.

a) What are the amplitude and phase constant of the oscillation? (4 pts.)

b) Find the period of the motion and determine the number of oscillations (cycles) the block completes during a 5.5 s interval? (5 pts.)

c) Find the maximum speed the block will achieve and the time at which it first occurs. (6 pts.)

d) Find the speed of the block at the instant it is displaced 0.35 m from its equilibrium position. (5 pts.)

BONUS: What would be the period of oscillations if the system were released on the moon where 6/ Moon Earth g = g ? (3 pts.)

Answer 1