image (127)

Substituting u(t)=uˆcosωtimage, we write

E=T(t)+V(t)=12mω2uˆ2sin2ωt+12kuˆ2cos2ωt (128)

image (128)

Recalling Eq. (15), i.e., k=ωn2mimage, we can write Eq. (128) as

E=T(t)+V(t)=12muˆ2(ω2sin2ωt+ωn2cos2ωt) (129)

image (129)
Derivation of the Equation of Motion by ...

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