
massspring system
This question tests your ability to solve second order linear inhomogenous differential equations.
A massspring system subject to an external periodic forcing of angular frequency http://webwork.spec.warwick.ac.uk/we...888c1e15c1.png satisfies the differential equation
http://webwork.spec.warwick.ac.uk/we...8e924d2471.pngThis equation has a solution in the form http://webwork.spec.warwick.ac.uk/we...f148316521.png.
Find the function http://webwork.spec.warwick.ac.uk/we...1606951411.png.
y(p) is a function of t, the derivatives are just 0, so 12*http://webwork.spec.warwick.ac.uk/we...f148316521.png = cos(Ht)
and i reaaranged to get R(H) but this is wrong.
We define http://webwork.spec.warwick.ac.uk/we...d52a7f9e01.png to be the value of http://webwork.spec.warwick.ac.uk/we...6137056b01.png for which the function http://webwork.spec.warwick.ac.uk/we...1606951411.png reaches its maximum.
Find http://webwork.spec.warwick.ac.uk/we...d52a7f9e01.png.
tried 1/12, as the max value of cos is 1, but this was also wrong...
find http://webwork.spec.warwick.ac.uk/we...8acd5d1751.png.