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$\bullet$ You're hanging from a chinning bar, with your arms at right angles to each other. The magnitudes of the forces exerted by both your arms are the same, and together they exert just enough upward force to support your weight, 620 $\mathrm{N}$ . (a) Sketch the two force vectors for your arms, along with their resultant, and (b) use components to find the magnitude of each of the two "arm" force vectors.

$438.4 \mathrm{N}$

Physics 101 Mechanics

Chapter 1

Models, Measurements, and Vectors

Physics Basics

Rutgers, The State University of New Jersey

Simon Fraser University

McMaster University

Lectures

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Okay, so we're doing Pop Chapter one Problem 47. In this problem, we're hanging from a chilling bar with our arms that writings to each other and the magnitude of forces exerted by both your arms and the same. And they add up just enoughto support your weight. 620 cents. So what this looks like is we have a vector. Are And here's a vector A from one of your arms and be from the other. Come, Charlie X axis Here. This being 45 this being 45 don't notice This is the only orientation such that you can get the result in factor there and keeping your 90 degree angle between your arms. We also know that the magnitude of a because a man to be and two of our because the weight So what we going to do now is find how that it's their right. So we know that our bhai is a y Class B Y in this has to do cost 6 20 because our why is the whole magnitude. So we know this. We can also relate Why values of these eh and bees according to their magnitude. So this can be also written as a as in the magnitude of a times sign of 45. Plus B Time's a sign of 1 35 Okay, so that will give us the y values. But we also know if you look at the size of the magnitude of the same these factors the White House have to do this. So this is also ordered to, eh? Sign 45 Okay, in that equals 6 20 So now we can just solve for May we see that a equals 6 20 over to sign 45 which equals 440 mutants. Just exactly what we need the magnitude to be. This also equals B, since they're equal to the same. So we got the incident cool.

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