Free Undamped Oscillations = klo A massm is attached to a spring (with given spring constant k), where the spring force is FR and lo is the initial stretch of the spring. The equation that governs this system is given by 0. The mass is set in motion for mx" + kx = initial conditions x and vo. For each of the equations below: . Find the position function x(t) in the form of C' cos (wo a). • Find the amplitude, period, and frequency of the resulting motion. • Graph of the solution for at least 2 periods Note that the dimensional units should be consistent for all physical constants. 1. A mass of 3 kg is attached to the end of a spring that is stretched 20 cm by a force of 15 N. It is set in motion with initial position хо = O and initial velocity v₁ = − 10 m/s. 2. A body with mass 250 g is attached to the end of a spring that is stretched 25 cm by a force of 9 N. At time t = 0 the body is pulled 1 m to the right, stretching the spring, and set in motion with an initial velocity of 5 m/s to the left.