simple harmonic motion

classical physics – problem 4: linking x(t), v(t), a(t), configuration-space motion and phase circle.

amplitude and period

A = 1.00, T = 1.00 s

amplitude A period T (s)

initial conditions

φ₀ = 0.00

use phase φ₀ use x(0), v(0)

phase φ₀ (rad)

x(t) = A cos(ω t + φ₀)

x(0) and v(0)

x(0) = 1.00, v(0) = 0.00

x(0) / A v(0) / (A ω)

show v(t) show a(t)

mass on a line – configuration space