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460_Physics ProblemsTechnical Physics

460_Physics ProblemsTechnical Physics - 462 Oscillatory...

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462 Oscillatory Motion (c) ω = g L L g = = = ω 2 1 2 9 8 10 0 098 0 . . m s s m 2 e j (d) In x t = − 2 10 1 m s a f e j sin the particle is at x = 0 at t = 0, at 10 t = π s , and so on. The particle is at x = 1 m when = 1 2 10 1 sin s e j t with solutions 10 6 1 s = − e j t π 10 6 1 s = + e j t π π , and so on. The minimum time for the motion is t in 10 6 t = F H G I K J π s t = F H G I K J = π 60 0 052 4 s s . FIG. P15.60(d) P15.61 (a) At equilibrium, we have τ = F H G I K J + 0 2 0 mg L kx L where x 0 is the equilibrium compression. After displacement by a small angle, FIG. P15.61 τ θ θ = − F H G I K J + = − F
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