A spring system in simple harmonic motion has a mass=4kg and k=9N/m.
(a) At time=0s, the block is offset from its equilibrium position and released from rest. Determine the trajectory of the block, x(t), when its initial displacement from equillibrim is (i) 5m/s and (ii) -5m/s.
(b) The block is offset from its equilibrium position at time t=0s. Determine the trajectory, x(t), of the block when its initial velocity, v0, is equal to (i) 5m/s and (ii) -5m/s
(c) At time=0s, the block is offset from equilibrium position by 5m and is in motion with velocity v0=5m/s. Determine the trajectory of the block.