1. The problem statement, all variables and given/known data mass "m" object is located near the origin of the coordinate system. External force was exerted on the object depending on the coordinate by the formula of Fx=-4*sin(3*pi*x). Find the short oscillation period, and the potential energy depending on the coordinate. 2. Relevant equations F=ma 3. The attempt at a solution I am not really sure what is the short oscillation period... but since there is only 1 force: F=Fx=ma -4sin(3*pi*x)=m*(d^2*x)/dt^2 and assuming that the object will move very little (because it's said to be SHORT osccilation period ?) sin(3*pi*x) is approximately 3*pi*x . and since -ω2*x=(d^2*x)/dt^2 is the formula of the harmonic oscillation : we find ω=12*pi/m and the T=2*pi*√(m/(12*pi)) ? and also assuming that in SHORT oscillation : it is almost like a spring : F=-12*pi*x=-kx k=12*pi potential energy is Ep= k*x^2/2=6*pi*x^2 ???