In Figure a, a metal plate is mounted on an axle through its center of mass. A spring with k = 2000 N/m connects a wall with a point on the rim a distance r = 2.5 cm from the center of mass. Initially the spring is at its rest length. If the plate is rotated by 7^oand released, it rotates about the axle in SHM, with its angular position given by Figure b. The horizontal axis scale is set by t_s= 20ms. What is the rotational inertia of the plate about its center of mass?

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e (deg) | 8. t (ms) -4 (b) (a)