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$\bullet$$\bullet$ A fractured tibia. While afractured tibia (the larger of thetwo major lower leg bones inmammals) is healing, it must.be held horizontal and kept under some tension so that thebones will heal properly to prevent a permanent limp. One wayto do this is to support the leg by using a variation of the Rus-sell traction apparatus. (See Figure $5.70 .$ ) The lower leg(including the foot) of aparticular patient weighs$51.5 \mathrm{N},$ all of which mustbe supported by the trac-tion apparatus, (a) Whatmust be the mass of $W$ .showth in the figure? (b)What traction force doesthe apparatus providealone the direction of theleg?

Physics 101 Mechanics

Chapter 5

Applications of Newton's Law

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Applying Newton's Laws

University of Washington

University of Winnipeg

McMaster University

Lectures

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So here's a free body diagram for this situation, and the first the first thing we do is we know our attention. Strings is equal to raise because supported by a pulley, it's connected by a boy. And so that is why these arrows here say W and save a city. So you have our attention forces acting at eagles. That's different angles. And the whole angle, remember, was 83 degrees. And do this lower angle. A state senator. So that's copping. Must be 40 60 greens. Um, so that's how we have those angles. And then there's a traction force except tea, which is acting opposite, uh, that pretensions and ever. And then there's attraction force along leg, which is which is absentee. Yeah, that's a t X of. And then those O this is his attraction force of the lower leg, which is absolute t wise. This is what we've given. Thiss is here to find them. Okay, So report. Uh, of course, starting second law can we was all forces in the right direction and force. See? Well, so we have There are 10 about white component of the tensions. So that would be teeside 46 minus t sign 37 w Same. Uh, that's because your absentee Why? Like Attraction Force, mate. So So that's a t y between, you know, to the 15 15 millions. Like it's us 51.5, because w cover your common tmw. Same thing. Remember time signed 46 seven. Their form w is yeah, 400 parent eight mutant. And therefore mass, which is related by she is just for 38 over eight. That's 44.7, and in part B, you want to know what hefty expense you already knew. What? After y eso for ft Excuse resolved extraction now? Yeah, again, No force. And so we have F T X is equal to the sum of the, uh, horizontal component, so t well, let's fight that w w coast 46 plus w coasts 37. And so you have for 38 tides cause 46. Cols Coast 77. And so this gives you along the leg attraction force of 6 54 weeks

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