Problem

$\bullet$ An adventurous archaeologist crosses b…

03:27

Problem 4 Medium Difficulty

$\bullet$ Two weights are hanging as shown in
Figure 5.37 (a) Draw a free-body dia-
gram of each weight. (b) Find the ten-
sion in cable $A .$ (c) Find the tension in
cables $B$ and $C .$

Answer

A. SEE DRAWING
B. $T_{A}=W_{1}$ 150 $\mathrm{N}$
C. 128.175 $\mathrm{N}$

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Physics 101 Mechanics

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October 23, 2020

Finally, now I'm done with my homework

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October 23, 2020

This will help alot with my midterm

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Video Transcript

Okay, So if two wires beyonc? Come that are hanging both hanging at the same angle 60 degrees from the ceiling. And they are holding. Ahh, 72 music. Wait, let's call that one. And on DH then and then below warm. There's another wire, eh? And that's supporting this 1 15 Wait, its color too. Okay, so So it's rather free. Body diagrams. Simpler cases, obviously. For the bottom. Wait, uh, two. So in this case, you only have two forces, obviously, force of gravity. Wait off to color W two canned and up on opposite to it. You have the attention from wire air, sir. Tea somewhere. Okay. And then and then of slightly more complicated situation in for wait one. Okay, so, uh, let's see. First of all, you have the force of gravity, of course. Acting downwards. W one And then you have attention acting attention. Attention from C string he subsea and then a similar thing in the other direction. Tension from the bistro antes of b both acting upwards, um, and self, the angles between the angles from the X axis to see and to be are both 60 degrees. Let me Thanks, Jack. were here. This is also 60 degrees. And so this is essentially your free body diagrams. And so what we're left with is that, uh, w one hacking downwards, obviously. But then horizontally, you have of T c co sign 60 because you take co signed 60 of TC. You get the horizontal component. Similarly, this is TV Coast 16 and vertically. You then have no TB sign 60 team C sign 60. Okay, so this is to better help you visualize the forces of X and Y directions. Okay, So once we have the free body diagram, we confined tension on cable, cable, air. So this concerns, uh, just ah, the second way. And we see that it is in vertical equal, and we know it's in vertical equilibrium. Meaning that tea, eh? Minus w 20 So Tia and w two are equal, and the way we know to be 1 50 Newtons. And so tension and strength is is 1 50 new ones. And then we want the tension in the strings Regency. Okay. And so for that we isn't second law. We use our party also, but here Ah, it's a little more involved. So we have that force in any direction. Uh, so let's start actually, with the extraction force an extraction of the master acceleration love in the ex direction on DH. We know that it's an equilibrium in the extractions, and that force will be zero. So this means that the forces So this concerns of weight one. And from the fi body diagram, we see here that the horizontal forces air this TV component and TC components that'll just be TB. Co sign 16 is equal to T c Co side 60 and we see that he be must equal t c so strings B and C of the same tension. Okay. And then we resolve in the vertical direction again. Net forced in. The work in in that direction will be sirrah, which means that so vertical forces air the attention, tensions packing upwards and the force of gravity acting that way. So that will be TB. Signed 60 plus t. C. Signed 60 Remember the same land. We'll deal with that in the second. My w won because Sarah on w 1 72 So here we can take TV. We can replace TC with T B. So we have a to TV signed 60 is he called to W one, which is 72 mutants. It's a TBI which is equal to to see must be Call 72 over two signs 60 and that gives you 128 news for both strings.

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