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Introductory Physics Homework Help
Tension and Angle Analysis for Traction in a Broken Leg
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[QUOTE="defaultusername, post: 5487250, member: 595548"] [h2]Homework Statement [/h2] An accident victim with a broken leg is being placed in traction. The patient wears a special boot with a pulley attached to the sole. The foot and boot together have a mass of m = 4.0 kg, and the doctor has decided to hang a 6.0 kg mass from the rope. The boot is held suspended by the ropes, as shown in the image, and does not touch the bed. [ATTACH=full]101439[/ATTACH] [I]a)[/I] Determine the amount of tension in the rope by using Newton's laws to analyze the hanging mass. [I]b) [/I]The net traction force needs to pull straight out on the leg. What is the proper angle θ for the upper rope? [I]c)[/I] What is the net traction force pulling on the leg? -------------- I have seen other people post this problem with different circumstances/variables, however, when I plug in my variables and try to make it work for my given problem I am finding myself stuck. [h2]Homework Equations[/h2] w=mg [h2]The Attempt at a Solution[/h2] [I]a)[/I][/B] Find the tension on the rope: w = mg = (6.0 kg)(9.8 [gravity]) w = 58.8 N (rounded to 59N) [I]tension on the rope[/I] [B][I]b)[/I][/B] Find the proper angle for the upper rope: First I try to find the amount of force on the boot. using the same equation w = mg = (4.0kg)(9.8) = 39.2 N of force acting on the boot Then I take the sine to find the correct angle, right? So, 58.8 sin(θ) = 39.2 + 58.8 sin(15°) θ = 54.42° But I know that is incorrect. My book says that it's actually 67.8°. How? What am I doing wrong? [B][I]c)[/I][/B] I can't even get to this point without answering [I](b)[/I]. [/QUOTE]
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Tension and Angle Analysis for Traction in a Broken Leg
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