You are going to analyze the forces in the rope ABCD for the bucket lift system shown in Figure 1. The worker is attempting to lift a 60 lbs bucket so that the handle of the bucket ends up at the 20...

You are going to analyze the forces in the ropeABCDfor the bucket lift system shown in Figure 1. The worker is attempting to lift a 60lbsbucket so that the handle of the bucket ends up at the 20ftlevel. To lift the bucket, the worker has tied a rope atA, strung it through the handle at B, then over a pulley atC, and down to him atD. The initial height ofBis 2ft, andAandCare 0.5ftabove the final desired 20ftlevel. Your mission is to determine the force in the rope as the bucket is lifted from 2ftto 20ft, and to assess the worker’s plan.

Deliverables:

1. 
   
   
   
   1. Write equilibrium equations to determine the force in the cable as a function of height,y. (20 pts)
   
   
   2. Use a computer program, such as Excel/python/C++/MATLAB, to find the force in the rope as a function of heightyfromy= 2fttoy= 20ftin 0.5ftincrements. (10 pts)
   
   
   3. Use a computer program, such as Excel/python/C++/MATLAB, to create a properly labeled graph of the force in the rope as the bucket is lifted fromy= 2fttoy= 20ft. (5 pts) (Hand drawn plots will not be accepted)
   
   
   4. Analyze the worker’s plan from the perspectives of whether or not it will work and safety. (5 pts)
   
   
   
   

Your submission should be typed, including the equations.

[1]Be careful when you use the trig. functions in Excel. Excel expects angles to be in radians and it returns radians too (use DEGREES and RADIANS to convert back and forth). In addition, the inverse trig functions (e.g. ASIN) only give the correct answer in the first quadrant. For example, for angles from 0◦to 90◦ASIN gives the correct answer, but for angles from 90◦to 180◦ASIN gives 180◦minus the correct answer.