Take two derivative of this function to find . Then show that if we let this function fits the SHO equation. Thus if we let the solution is proven to be .
Energy oscillates between electric and magnetic forms.
Show that when the electric energy is at its maximum, the magnetic energy is zero and visa versa. When the cosine function is one, the sine function is zero and visa versa . Thus a phase of either zero or would be suitable. Energy oscillates between kinetic and potential energy in the spring. The forces on the mass are its weight, mg , and the tension in the string.