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(II) $(a)$ Calculate the magnitude of the force, $F_{\mathrm{M}},$ required ofthe "deltoid" muscle to hold up the outstretched arm shown in Fig. 56 . The total mass of the arm is 3.3 $\mathrm{kg}$ . (b) Calculate themagnitude of the force $F_{\mathrm{J}}$ exerted by the shoulder joint on theupper arm and the angle (to the horizontal) at which it acts.

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A. $250 \mathrm{N}$B. $240 \mathrm{N}$

Physics 101 Mechanics

Chapter 12

Static Equilibrium; Elasticity and Fracture

Equilibrium and Elasticity

Ryan H.

November 5, 2021

I don't think the third part of the question was answered: Calculate the angle (to the horizontal) at which the force FJ acts.

University of Michigan - Ann Arbor

Simon Fraser University

University of Sheffield

McMaster University

Lectures

04:12

In physics, potential energy is the energy possessed by a body by virtue of its position relative to others, stresses within itself, electric charge, and other factors. The unit for energy in the International System of Units is the joule (J). One joule can be defined as the work required to produce one newton of force, or one newton times one metre. Potential energy is the energy of an object. It is the energy by virtue of an object's position relative to other objects. Potential energy is associated with restoring forces such as a spring or the force of gravity. The action of stretching the spring or lifting the mass is performed by a force which works against the force field of the potential. The potential energy of an object is the energy it possesses due to its position relative to other objects. It is said to be stored in the field. For example, a book lying on a table has a large amount of potential energy (it is said to be at a high potential energy) relative to the ground, which has a much lower potential energy. The book will gain potential energy if it is lifted off the table and held above the ground. The same book has less potential energy when on the ground than it did while on the table. If the book is dropped from a height, it gains kinetic energy, but loses a larger amount of potential energy, as it is now at a lower potential energy than before it was dropped.

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(II) (a) Calculate the mag…

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(II) $(a)$ Calculate the f…

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Q1: To hold your arm out s…

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(I) Approximately what mag…

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The arm in Figure $\mathrm…

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The forearm shown below is…

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The arm in Figure P8.17 we…

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The arm in Figure Pl2.41 w…

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Figure $12.17 a$ shows an …

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Figure $12.18 a$ shows an …

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When you hold your arm out…

we calculated the talk about the elbow joint, which is the start in the free body diagram. PSINet Dog is equal to my Alfa. And since the R is an equilibrium, Alfa is Edo and therefore the next door code zero. I'm assuming I'm taking counterclockwise stalk to be positive. So lets down the let's write down the docks about this edible giant closed. So we have a dog do to force F m on this issue. Goto f m times that this dance D which is the length times the angle between these two the sign off the angle would conduce too. So that is scientific data. You can also choose the first take the forced open the color are to this distance this r and that will be equal to F. M. Scientists are basically no opened it with a component and this will come out. Toby FM scientist. And then you can simply multiply this force with the pope Particular distance statistic on you. You'll arrive at the same expression. Now we have another clock way stark there when putting a negative sign here, and that comes from mg and the distance. It's steep and here we don't have to include any Tito because Andy Andy are perpendicular to each other, theses equal to seal. Now we can solve for F M, which will be equal to nd tanks capital D over small d science, you know, Now let me just write down the values off the masters and distances that we have. So Marcel's given to the three point chickadees kept the dirty is 04 popes. I see your point do. For me, Small day is a single point one to me and T guys 15 degree and G is just acceleration due to gravity, which is a constant and is equal to 9.8 meat of a sentence. Second scratch. So this we let these values into this equation and we get FM Toby to 49 point. And I knew that now for the second part to find the components off FDA, we like Newton's second law for both the X on my direction on solve them to get the components off FDA in both X and y direction. And then we combined them to find the magnitude off energy. So first we start with writing the question and you're going second law, since that is since the system is at equilibrium the arm Islamic Libyan, there is no acceleration. So the net force along both directions is equal to zero. So Alexis out right on the forces in the horizontal direction. So we have if and times caustic ter and this is in the negative X direction. So I'm taking X positive X Toby to the right and was there right to the upwards at this point in the negative direction on we have If j x on this point since this has, uh so this, uh, gotta go the compliment off FDA and the hardest until elections points in the positive x directions. So therefore, we have to put a positive sign here. This is equal dough CEO on Bush. This aggression we have s m scientific, that which borns upward so we don't have to put any negative Signed this with this positive minus nd the points down ward minus F j light. So this component off ft in the white addiction points downwards. Therefore, we have to put a negative sign here. Now we saw this too aggressive question separately to find f j X and FT Light so solving this a question we get. If J X is equal to FM times cost ita and that does equal do doing 41 buying for Newton. So we should were basically using the magnitude off offend that greedy arrived here on dhe. This angle 15 degree that were given similarly was on this a question. And we get FDA right to the equal door 32 pointy, new now to find the magnitude used by to go to steal gum. So we take the summer off the squares off the components off 50 and take this card would take the square root. Does that defined the migration of 50 and this council too weak two for victory on six neutered.

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