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bd2015
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Homework Statement
If both k of the spring and m are doubled while the damping constant b and driving force magnitude F0 are kept unchanged, what happens to the curve, which shows average power P(ω)?Does the curve:
a) The curve becomes narrower (smaller ω) at the same frequency;
b) The curve becomes narrower at a higher frequency;
c) The curve becomes broader (larger ω) at the same frequency
d) The curve becomes broader at a different frequency;
e) The curve does not change;
The Attempt at a Solution
Equation of motion is:
m[itex]\frac{d2x}{dt2}[/itex]+b[itex]\frac{dx}{dt}[/itex]+kx=FoCos(ωt)
Conceptually, it seems that the amount of power would not necessarily change of k is doubled as is the mass. It also seems that since k/m = ω^2, Δω shouldn't change. Not sure if this is correct.
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