The velocity and acceleration of the object also have a sinusoidal form, and the maximum velocity and acceleration occur at the equilibrium position. The frequency (f) is the reciprocal of the period (f = 1/T) The angular frequency (w) and the period (T) of the motion are related by the equation w = 2π/T. The displacement of the object from the equilibrium position is given by x(t) = A*cos(wt + φ) where A is the amplitude, w is the angular frequency, and φ is the phase angle The proportionality constant is called the spring constant (k) The restoring force is always directed towards the equilibrium position and is proportional to the displacement. Here are some key points about simple harmonic motion: The motion of the object is described by a sine or cosine function and is characterized by a restoring force that is proportional to the displacement of the object from the equilibrium position. Simple harmonic motion (SHM) is a type of periodic motion where an object oscillates about a fixed point (equilibrium position) with a constant amplitude and frequency.
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