Problem 1 (5 points) A 10 kg electric motor is mounted on-four identical springs as shown in the figure. The motor-operates at a speed of 500 rpm and it experiences a 10 Namplitude harmonic force due to unbalance in its rotor.Assuming that the springs are undamped, choose a design(i.e., pick springs stiffness k) such that the maximum deflection is 1 cm. Assume zero initial conditions.

Fig: 1

Fig: 2