# Applications of Harmonic Motion

### Problems

Problem :

A mass oscillates on a spring over a rough floor. Can this motion be modeled as damped oscillation?

Problem :

A mass of 2 kg oscillates on a spring with constant 50 N/m. By what factor does the frequency of oscillation decrease when a damping force with constant b = 12 is introduced?

Problem :

In a damped oscillator the amplitude of oscillation decreases on each oscillation. How does the period of oscillation change as the amplitude decreases?

Problem :

If the damping constant is large enough, an oscillating system will not go though any oscillation, but will simply slow down until it stops at the equilibrium point. In this case the angular frequency cannot be calculated, since the system does not go though any cycles. Keeping this in mind, find the maximum value of b for which oscillations do occur.

Problem :

The gravitational attraction of the moon causes the ocean tides. This gravitational force is constant. Why, then, do some areas experience higher tides than others?

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