Consider an object that undergoes simple harmonic motion without friction between x = -A and x = +A.

 (a) Explain whether the object spends less time, more time, or the same amount of time between x = –A/2 and x = +A/2 as it does for |x| > A/2. 

(b) Determine the two values of x in terms of A where the kinetic energy of the object is equal to the potential energy of the object. Express the spring constant as k and the mass as m.