7 A Spring-mass system has mass of 300 kg and a stiffness of 1000 N/m. This system is given a zero initial velocity and an initial displacement of 0.1 m. 1- Determine the equation of motion and calculate the natural frequency. 2- Calculate the vibration response. Exercise 3 The figure shows a spacecraft with four solar panel. Each panel has the dimension of 5 ft. x 3 ft. x 1 ft. with a density of 0.1 lb/in' , and is connected to the body by aluminum rods of length 12 in. and diameter 1 in. Determine the natural frequency of vibration each panel about the axis of the connecting Aluminum rod