A particle of mass \( 1 \, \text{kg} \) is hanging from a spring of force constant \( 100 \, \text{N m}^{-1} \). The mass is pulled slightly downward and released so that it executes free simple harmonic motion with time period \( T \). The time when the kinetic energy and potential energy of the system will become equal, is \( \tfrac{T}{x} \). The value of \( x \) is ________.
