A 2.3 kilogram small particle is in simple harmonic motion in one dimension and moves according to the following equation, with t in sec. x = (4.7m)cos[(π/4rad/s)t - π/6rad]
(a) Find at what value of x is the potential energy of the particle equal to half the total energy?
(b) Determine how long does it take the particle to move to this position x from the equilibrium position?