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    Change in Gravitational Potential Energy in Oscillating water mass

    Homework Statement Seiche in a lake. The simplest motion of water in a lake can be approximated as simply the water surface tilting but remaining flat. Imagine a lake of rectangular cross section of length L and with depth h where (h<<L). The problem resembles that of the simple pendulum, the...
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    Max Height for Steel Wire: .5kg Object

    Homework Statement An object of mass .5 kg is hung from the end of a steel wire 2m in length and .5mm in diameter. The mass is lifted a distance h and then dropped (creating a 'jerk') What is the largest value of h if you don't want the wire to break? Ultimate Strength: 1.1E9 N/m^2 Young's...
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    What is the effect of combining two sinusoidals with different frequencies?

    Homework Statement Find the frequency of the combined motion of sin(3t) - cos(Pi t) Homework Equations Cos(A) - Cos(B) = -2sin([A+B]/2)sin([A-B]/2) f=1/T Omega=2Pi/T The Attempt at a Solution sin(3t) - cos(Pi t) = cos(3t - (Pi/2)) - cos(Pi t) = -2sin({t[3 + pi]/2} -...
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