Not-So-Simple Harmonic Motion

A certain spring produces a force that goes as F=kx3 F=-kx^{3} .

A mass of m=1kg m = 1kg is attached to the spring. If k=1000Nm3 k= 1000 N m^{-3} and the mass is initially displaced by 10cm 10 cm , what is the period of the mass's motion in seconds?

You may find the following useful: 1111x4dx=2.622\int_{-1}^{1} \frac{1}{\sqrt{1-x^{4}}}\,dx = 2.622

×

Problem Loading...

Note Loading...

Set Loading...