Category: Part 4: Oscillations & Waves

Problem Statement Solve the oscillation/wave problem: A particle of mass $m$ is attached to a spring of stiffness $k$. Find the period of oscillation. Newton’s second law gives the equation of motion: $$m\ddot{x} = -kx \implies \ddot{x} + \omega_0^2 x = 0, \quad \omega_0 = \sqrt{\frac{k}{m}}$$ The general solution is $x(t) = A\cos(\omega_0 t +…