Question

Question Completion Status: Que CITY Aloud speaker weighing 100N is hung by two cables T, and T2 to the ceiling of a lecture hall, as indicated in the figure below. Find the tensions T, and Tz in the cables shown in the figure below. {Fx =Fcose, Fy = Fsin o) Answer to 2 sig fig. T1 = N T2 = N 100 N

Answer 1

Here,

as the node is under equilibrium

in the vertical direction

T1 * sin(35) + T2 * sin(55) = 100

Now, in the horizontal direction

T1 * cos(35) - T2 * cos(55) =0

solving the equations of T1 and T2

T1 = 57.4 N

T2 = 81.9 N

tension in the string T1is 57 N and T2 is 82 N