A piano wire is very stiff, such that when first struck with large amplitude, the frequency of its oscillation is higher than when its amplitude has nearly died out. In other words, the pitch drops very slightly as the strings vibrational amplitude dies out. Depict the string's amplitude as a function of time using a graph.

A mass of 1.64 Kg is connected to a spring of spring constant 9.02 N/m. An oscillation is started by pulling the mass to the right to amplitude 0.779 m before release and the oscillator moves in air. The oscillation decays to 16.7% of the original amplitude in 63.5 seconds.   a.  What would the position of the oscillation be 29.63 seconds after release?

A small bird's wings can undergo a maximum displacement amplitude of 4.50 cm (distance from the tip of the wing to the horizontal). If the maximum acceleration of the wings is 34.7 m/s^2, and we assume the wings are undergoing simple harmonic motion when beating, what is the oscillation frequency of the wingtips? ____________Hz

One end of a string is attached to an object of mass M, and the other end of the string is secured so that the object is at rest as it hangs from the string. When the object is raised to a height above its lowest point and released from rest, the object undergoes simple harmonic motion with a frequency f0. In a second scenario, the length of the string is cut in half before the object undergoes simple harmonic motion again. What is the new frequency of oscillation of the object in terms of f0?