A 7kg mass is suspended from a spring having a spring constant of 112 N/m. The mass is started in motion from its equilibrium position with an initial velocity of 1m/sec and with an applied external force of 4sint. i) Find the position of the mass at time t. ii) How far from the equilibrium position the mass will be after 30 seconds.

A 7kg mass is suspended from a spring having a spring constant of 112 N/m. The mass is started in motion from its equilibrium position with an initial velocity of 1m/sec and with an applied external force of 4sint. i) Find the position of the mass at time t. ii) How far from the equilibrium position the mass will be after 30 seconds.