Question

1. SIMPLE HARMONIC OSCILLATOR PROBLENM We can describe rotational oscillators in a manner that is very similar to translational ones. Consider a solid disk of mass M and radius R that sits on a flat, level surface. A spring (spring constant, k) is attached to the center of the disk, and to a fixed wall. The spring is horizontal. There is sufficient friction to prevent the disk from sliding at the contact point with the surface, so if the spring is initially stretched the disk will rock back and forth about the contact point. Use torque ideas to obtain an expression for the angular frequency of this oscillation (for small initial displacement). Your expression may contain at most g, M, R and k. Hint: remember the rotational inertia of the disk needs to be calculated about the pivot point, not the center of mass

Answer 1

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