Problems
Problem 2.1:
A mass oscillates on a spring over a rough floor. Can this motion be modeled as
damped oscillation?
[Solution]
Problem 2.2:
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?
[Solution]
Problem 2.3:
In a damped oscillator the amplitude of oscillation decreases on each
oscillation. How does the period of oscillation change as the amplitude
decreases?
[Solution]
Problem 2.4:
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.
[Solution]
Problem 2.5:
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?
[Solution]
