Analyze the actual forces using vectors and angles from the example. Compare your results and explain possible differences. You would like to lift a piano weighting 1500 pounds from a street that is 30 feet wide with cables attached to buildings on either side of the street. What must be the cable strength in each situation? Create a physical model of vector forces using ring stands, spring scales, string and a weight.
[A] What is the force exerted on each cable when lifting the piano from the center of the road with the point of attachment being 15 feet high on each side of the street (Building A and Building B)? See Diagram A.
[B] What is the force exerted on each cable when lifting the piano from the center of the road with one point of attachment being 20 feet high on Building B and the opposite point of attachment being 30 feet high on Building A? See Diagram B.
[C] What is the forced exerted on each cable when lifting the piano from a point 10 feet from one side of the street (Building B) and the point of attachment is 10 feet high and 20 feet high on the opposite side of the street (Building A)? See Diagram C.