Substitute these back into the differential equation and divide by e−iωpte raised to the negative i omega sub p t power
d2Veffdθ2|θ=0=mgR−mR2ω2(2−1)=mR(g−Rω2)the fraction with numerator d squared cap V sub e f f end-sub and denominator d theta squared end-fraction vertical line sub theta equals 0 end-sub equals m g cap R minus m cap R squared omega squared open paren 2 minus 1 close paren equals m cap R open paren g minus cap R omega squared close paren , the second derivative is positive . , the second derivative is negative Unstable . Case 2: (exists when ) Substitute these back into the differential equation and
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3D motion, relative velocity, and constrained kinematics.
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