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April 24, 2014

Homework Help: Physics

Posted by Amber on Wednesday, November 16, 2011 at 9:51am.

A weight with mass m lies on a surface with no friction. The weight is also connected to a spring with springconstant k and then the weight is driven with outer force F(t)=F0sin(Ωt). There is a friction in the spring and hes described with bv(t). With a help from 2.law of Newton the motion for the weight is described with the equation: md^2x/dt^2+bdx/dt+kx=F0sin(Ωt). (1)
After watching the motion of the weight for a while a scientist finds out that its placement is a period function with a period T=2π/Ω. Scientist suggests that x(t)=Acos(Ωt)+Bsin(Ωt). (2)
Put this equation into equation (1) and find the coefficients A and B as a function of m, b, k and Ω.

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