The potential energy V of a linear spring-mass system is given in inch-pounds by 64x2, w...

The potential energy V of a linear spring-mass system is given in inch-pounds by 64x², where x is the displacement in inches measured from the neutral equilibrium position. The kinetic energy T of the system in inch-pounds is given by Determine the differential equation of motion for the system and find the period of its oscillation. Neglect energy loss.