A traffic light weighing 1.20 times 102 N hangs from a vertical cable tied to tw

Question

A traffic light weighing 1.20 times 102 N hangs from a vertical cable tied to two other cables that are fastened to a support, as shown in Figure The upper cables make angles of theta1 = 39.0degree and theta2 = 51.0degree with the horizontal. Find the tension in each of the three cables. Use the values to help you work this exercise. Suppose the traffic light is hung so that the tensions Tl and T2 are both equal to 88 N. Find the new angles they make with respect to the x- axis. (By symmetry, these angles will be the same.)

Explanation / Answer

T1cos 37 = T2 cos 53 3T1=4T2 T1cos 53 + T2 cos 37 = 120 4T1+3T2=120x5 4T1+9T1/4 =120x5 25T1=120x20 T1=96N T2=72N T3=120N ii) angle will be equal because horizontal component should cancel each other 2x88sin(a) = 120 a= 43 degree

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