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    Tension Problem

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    A loudspeaker of mass 25.0 kg is suspended a distance of h= 1.00m below the ceiling by two cables that make equal angles with the ceiling. Each cable has a length of l= 4.00 m.

    What is the tension in each of the cables?

    © BrainMass Inc. brainmass.com December 24, 2021, 9:09 pm ad1c9bdddf
    https://brainmass.com/physics/equilibrium/hanging-speaker-tension-cables-348534

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    SOLUTION This solution is FREE courtesy of BrainMass!

    Using the equilibrium at vertical forces, we have:

    T1sin(theta) + T2sin(theta) - mg = 0

    Using the dimensions of the string, we have:

    sin(theta) = 1/4 = 0.25

    Using the equilibrium at horizontal forces, we have:

    T1cos(theta) - T2cos(theta) = 0

    Since theta for both are equal then,

    T1 = T2 = T

    Solving for T, we have:

    T(0.25) + T(0.25) - 25(9.81) = 0
    0.5T = 245.25
    T = 122.625N

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 9:09 pm ad1c9bdddf>
    https://brainmass.com/physics/equilibrium/hanging-speaker-tension-cables-348534

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