Solve a using the given information.

1. The onedimensional force exerted on a mass by a \"massless\" spring has the form Pr = kx where k is the spring constant, and Ex is the force component along the line of motion and the equilibrium point is mx=0m. 2. Newton's second law holds. Using these assumptions, you can show mathematically that the follow- ing equation will hold: x[t) = X cos (tot + ciao) where (1)0 = the initial phase indicating the displacement, x(0), at t= O s x(t) = displacement of the spring from equilibrium at time t X = the maximum displacement or amplitude of the system to = the rotational frequency of oscillation given by to = V (k/ m) where k is the spring constant and m is the mass of the \"oscillating\" object (assuming the spring is massless) _'______'_'______'- 14.7.1. Activity: Displacement vs. Time-Theoretical a. Start with the equation Pr = maI to describe the acceleration of the mass in the presence of the spring force. Use the definitions of instan- taneous velocity and acceleration along with the equation for a spring force (see item 1. above) to show that m -Ei. = l