- #1
Aesteus
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Homework Statement
A mass M is suspended from the ceiling by a spring with spring constant k, and from the floor by a spring with spring constant 3k. Find the frequency of the mass' oscillation.
Homework Equations
F=ma
The Attempt at a Solution
F(net) = Mg + kx - 3kx = Mg - 2kx
performing a variable switch z= x - Mg/2k, I simplified the equation and set it equal to F(net) = Ma.
Ma = -2kz ... so therefore ω = (2k/M)^1/2
As you see, I performed a variable switch and solved the angular frequency for z. Now, how do I go about switching back to x?