Answer to Question #296868 in Physics for Wiseman

Question

An oscillatory body of mass In attached to a spring of stiffness constant s performs simple harmonic motion in the x-direction. Show that the oscillation is described by the equation mx + sx =0

Answer 1

The Newton's second law says

$$ma=F$$

In our case

$$ma=-sx$$

The acceleration

$$a=x''$$

Finally, we obtain an equation

$$mx''+sx=0$$