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Consider a mass m connected to two springs with different spring constants [$1 and k2 between two walls. Both springs have the same nominal length of l when there are no forces on them. The left and right walls are 3 x l apart. Ignore damping, and assume the mass only moves along the horizontal direction. 7 k1 m 1'2 V 4 31/2 > Figure 1: Accompanying Problem 1. (1) What is the equilibrium position of the mass? Clearly indicate your coordinate system. (5 D138) (2) The mass is initially held midway between the two walls, as shown. At t = 0, the mass is release from rest, and starts to oscillate. What is the angular frequency of the oscillation? What is the period of the oscillation? (5 pts) (3) What is the horizontal displacement of the mass at times t > O? (5 pts) (4) What are the kinetic energy and potential energy of the system as a function of time? (5 NS)