Question

For a linear oscillator (block on spring),
x(t) = xm cos (ωt + φ) (1)
v(t) = −ωxm sin (ωt + φ) (2)
a(t) = −ω
2xm cos (ωt + φ). (3)
(a) Draw and explain in words how you would use a circle diagram to
connect x(t), v(t), and the phase (ωt + φ).
(b) What does ω represent? How is ω different for a linear oscillator
than for a rolling or rotating object?

Answer 1