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What is the maximum kinetic energy of a simple horizontal mass-spring oscillator?

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What is the maximum kinetic energy of a simple horizontal mass-spring oscillator whose equation of motion is given by x = (0.350 m) sin (7t)? The mass of the end of the spring is 900 g.

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  1. What is the maximum kinetic energy of a simple horizontal mass-spring oscillator whose equation of motion is given by x = (0.350 m) sin (7t)? The mass of the end of the spring is 900 g.

    x(t) = A*sin(F*t)... velocity:

    x'(t) = v(t) = (F*A)*cos(F*t)... max velocity:

    F*A

    E-kinetic = 1/2 * M * v^2

    http://en.wikipedia.org/wiki/Kinetic_ene...

    M = 900/1000 [kg]

    v = F*A = 7*0.350 = 2.45

    max E-kinetic = 1/2 * 0.900 * 2.45^2 [J]

    Good luck.

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