Mechanical Vibration Homework #1 1.11 (10 pts) Find the equation of motion for the system of Figure P1.11, and the natural frequency. In particular, using static equilibrium along with Newton's law, determine what effect gravity has on the equation of motion and the system's natural frequency. Assume the bloc slides without friction. Figure P1.11 Frictionless surface Problem (20 pts) Solve m+kx-0 for m-2 kg, -18 N/m and the following initial conditions: a) x,-1 mm. v,-3 mm/s b) x,-1 mm, v,-3 mm/s c) x 1 mm, v,--3 mm/s d) x-1 mm, v,-3 mm/s