the boom n the crane is free to pivot about point P and is supported by the cabl
ID: 2207371 • Letter: T
Question
the boom n the crane is free to pivot about point P and is supported by the cable that joins halfway along its 18-m total legth. the cable passes over a pulley and is anchored aat the back of the crane. the boom has a mass 1800kg, distributed uniformly along its length and the mass hanging from the end of the boom is 3600kg. the boom makes a 50 degree angle with the horizontal. (a) what is the tension in the cable that supports the boom? (b) find the force exerted at the pivot point P. (magnitude and direction)? show work.
Explanation / Answer
Take moments about P with tension T. Consider weight of boom acting at mid point. 1800*9.81*9*cos50+3600*9.81*18*cos50-T*… [*** assuming cable perpendicular to boom] 1800*9.81*9+3600*9.81*18-T*9/cos50=0 T= 56751.718 N
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