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Polk Audio TC80i Round 2-Way 8-Inch In-Ceiling Loudspeaker (Single, White) List Price: $319.99 Sale Price: Too low to display  |
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Polk Audio TC80i 2-Way In-Ceiling Loudspeakers are the performance alternative for custom installed sound systems. They give you total control over your built-in audio installation with superior sound, superior user controls and superior value... |
A loudspeaker of mass 19.0 {kg} is suspended a distance of h = 1.20 {m} below the ceiling by two cable?
A loudspeaker of mass 19.0 {kg} is suspended a distance of h = 1.20 {m} below the ceiling by two cables that make equal angles with the ceiling. Each cable has a length of l = 3.90 {m}. What is the tension T in each of the cables?
i have no idea what to do. I found the angle of theta which i got to be 17.9 by (sin^-1(1.2/3.9)). Then i took 19 and multiplied it by the force of grav 9.8 and got 186.2. Then sin17=186.2/hypotenuse to get 605. This said it was wrong tho..and ideas what i did wrong?
the horizontal angle between the loudspeaker and ceiling is 17.9 {degrees}.
and,
the force of gravity (downwards) is mg, ie 19 * 9.8 = 186.2
Now let the tension in both the strings be T, therefore, the total upward force will be 2Tsin(17.9)
Therefore 186.2 = 2Tsin(17.9)
93.1 = Tsin(17.9)
T = 93.1 / 0.3
T = 310.3..
Hope this helps,
Regards,
Amogh
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