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March 26, 2017

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A 250-gram pendulum bob is initially constrained at a 53 degree angle by two strings. When the horizontal string is cut the pendulum begins to swing. As the pendulum bob passes through its equilibrium position, what will be its velocity?

  • Physics - ,

    Gravitational potential energy mgL(1-cos(θ) will be transformed into kinetic energy, (1/2)mv², where L=length of pendulum string,
    θ=angle with vertical,
    g=acceleration due to gravity
    m=mass of pendulum (cancels out, so does not change answer)
    Equate the two energies and solve for v.

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