Two steel wires support a moveable overhead camera weighing W = 2° lb (see fgure part a) used for close-up viewing of field action at sporting events. At some instant, wire 1 is at an angle a = 228 to the horizontal and wire 2 is at angle b = 40. Wires 1 and 2 have diameters of 30 and 35 mils, respectively.

(a) Determine the tensile stresses s₁ and s₂ in the two wires.

(b) If the stresses in wires 1 and 2 must be the same, what is the required diameter of wire 1?

(c) To stabilize the camera for windy outdoor conditions, a third wire is added (see figure part b).

Assume the three wires meet at a common point coordinates above the camera at the instant shown figure part b. Wire 1 is attached to a support at coordinates. Wire 2 is supported at (270 ft, 55 ft, and 80 ft). Wire 3 is supported at. Assume that all three wires have a diameter of 30 mils. Find the tensile stresses in all three wires.

Transcribed Image Text:

1 T₂ W T₁ a