What is the displacement of a body in SHM when the potential energy becomes three times than kinetic energy?

What is the displacement of a body in SHM when the potential energy be

1.	What is the displacement of a body in SHM when the potential energy becomes three times than kinetic energy?
Answer» Solution :`(1)/(3)U =K` `(1)/(3) (kx^(2))/(2) = (1)/(2)k(A^(2)-x^(2))` `therefore x^(2) = 3A^(2) -3x^(2)` `therefore 4x^(2) = 3A^(2)` `therefore x^(2)=(3A^2)/(4)` `therefore x = pm (SQRT(3)A)/(sqrt(2))`.