er-the-rotating-disk-with-an-offset-slot-as-show-in-gure28-ins ck ed ed discussion Bursar ME Path HotSchedules CH 9.6 Consider the rotating disk with an offset slot, as shown in Figure 9.28. Inside the slot is a particle P of mass m connected to a spring with spring constant k. The disk has mass M and moment of inertia I about the center axis (not including the small mass m). The disk is free to rotate about its axis by an angle 9. You can assume that the unstretched length of the spring is zero and at t=0 the spring is stretched by an amount xo. x e r O P Figure 9.28 Problem 9.6. a. Show that the equations of motion for the mass in the slot and the angle e of the disk are = -2mxx0+mlx02 - klx I+mx2 *=l+x02-(k/m)x. b. Is energy conserved? c. What is the total angular momentum ho of the system? Is it con- served? d. Suppose we start the system by offsetting the mass an amount x0 = 60 cm. If the disk has a radius of 1 m, /= 2.5 kg-m, 1 = 75 cm, m = 0.25 kg, and k 1 N/m, use MATLAB to simulate the motion of the mass and the disk over the time interval [0, 20] s. Plot x versus t, versus 1, and boll versus 1.