# Dynamics

A particle of unit mass moving on the x axis has equation of motion (FUNCTION1) and the initial conditions are (FUNCTION2). show that (FUNCTION3) and deduce that the motion is an oscillation between x=1 and x=3 with period (FUNCTION4). By making the substitution (FUNCTION5) or otherwise show that (FUNCTION6).

(PLEASE SEE ATTACHMENT FOR FUNCTIONS)

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#### Solution Preview

I will use your "otherwise" to prove in a different, easier way!

d^x/dt^2 = -(1/3)*[2x^3 - 3x^2 - 4x + 1] = f(x)

Now the potential V(x) is given ...

#### Solution Summary

This solution looks at the equation of motion, initial conditions, and oscillation.

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