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11. A thin rod of negligible mass and length L is free to pivot about its top end. Attached to the other end of the rod is a particle of mass M. The particle, is also attached to a spring with a force constant k. When the rod is vertical, the spring is neither stretched or compressed. Neglecting any friction, derive an expression for the angular frequency of this oscillating system. Assume small amplitude oscillations such that the spring remains horizontal at all times. L k M

A thin, circular ring of mass m and radius r is suspended at 0. Determine the natural frequency of small oscillations of this ring in the xy plan. y Hint: The moment of inertia of a thin, circular ring of mass m and radius r about its central axis is I = mr². In this problem, the ring rotates about point 0; therefore, we need to use the Parallel Axis Theorem.

Which one is correct please?