1. The jib crane is designed for a maximum capacity of 10 kN, and its uniform I-beam has a mass of 200 kg. (a) Plot the magnitude R of the force on the pin at A as a function of x through its operating range of x = 0.2 m to x = 3.8 m. On the same set of axes, plot the x- and y-components of the pin reaction at
(b) Determine the minimum value of R and the corresponding value of x.
(c) For what value of R should the pin at A be designed? (Use g = 10 m/s2.)
2. Two traffic signals are attached to the 36-ft sup- port cable at equal intervals as shown. Determine the equilibrium configuration angles a, /3, and y, as well as the tension in each cable segment
3. The two traffic signals of Prob. 2 are now repositioned so that segment BC of the 36-ft support cable is 10 ft in length and is horizontal. Specify the necessary lengths AB and CD and the tensions in all three cable segments.