### C v2x module

A particle executes linear simple harmonic motion with an amplitude of 2 cm. When the particle is at 1 cm from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is: 1.4 General properties of Simple Harmonic Oscillator Equation of motion d2X dt2 = !2X (12) Xrepresents the small displacement from equilibrium position in the SHO. It can corresponds to xin the mass on a spring problem, in the pendulum, or Qin the LC circuit. This equation of motion has a generic solution X(t) = Acos(!t) + Bsin(!t) = Ccos(!t+ ... To go from a reference circle to simple harmonic motion, you take the component of the acceleration in one dimension — the y direction here — which looks like this:. The negative sign indicates that the y component of the acceleration is always directed opposite the displacement (the ball always accelerates toward the equilibrium point).