# Spring Oscillator#

A wooden train is attached to two linear springs of spring constant $$k$$ in a closed box. The train is displaced from the center of the box by $$x_0 \ \rm{m}$$.

## Part 1#

If the train is released from rest and it moves along the frictionless floor, what is the total force in the x-direction acting on the train at the point of release?
$$m= {{ params.m }} \ \rm{kg}$$, $$x\_{0}= {{ params.x_0 }} \ \rm{cm}$$, $$k = {{ params.k }} \ \rm{N/m}$$.

Please enter in a numeric value in $$N$$.

## Part 2#

What is the maximum acceleration of the train?

Please enter in a numeric value in $$ms^{-2}$$.

## Part 3#

By obtaining the displacement of the train as a function of time, determine the period of oscillation of the train i.e the time that it takes for the train to return back to its starting position.

Please enter in a numeric value in $$s$$.

## Part 4#

If the spring stiffness constant is quadrupled, what is the new period of oscillation?

Please enter in a numeric value in $$s$$.