See Picture attached.
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
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