Problem

A dock worker pulls two boxes connected by a rope…

03:21

Problem 34 Hard Difficulty

A factory worker pushes horizontally on a 250 $\mathrm{N}$ crate with a force of 75 $\mathrm{N}$ on a horizontal rough floor. $\mathrm{A} 135 \mathrm{N}$ crate rests on top of the one being pushed and moves along with it. Make a free-body diagram of each crate if the friction force exerted by the floor is less than the worker's push.

Answer

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Physics 101 Mechanics

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Video Transcript

All right. So our situation is that we have a crate air on top of which there's another, less massive great B and create a is being pushed presently two to the right, uh, with this force by factory workers. So the free body diagrams are as follows. So for the top, create bar. Great. B, huh? You obviously always have gravity. So wait, uh, then you have the normal force Wait. Acting downwards. Normal force from create air that is exerted on create, create bi bi create an is acting up words exactly. Opposite to the direction gravity. And then, of course, uh, and then, of course, you have f A. This is friction due to create area friction from create there that is exerted on credit. So, uh, so this is the situation for the top crate now for the bottom. Cray are great. Yeah, you have again. Of course you have. Wait, that's gravity acting downwards. Uh, acting up. Um, And then, since you have a normal force here that the crate the crate exerts and create B, you have a recall on opposite force by his third law of acting downwards. That's directly opposite. Uh, this normal for us. That's called us and the sub B for normal force. Acting on a crate. They're normal force exerted by Christian. Create it. So we can already right down and a equals. And b at this is by the third law. Okay, then there's a force upward. Uh, this is from the floor. This is normal force exerted on a crate off by the floor. Great. B doesn't touch the forest, so it does not experience this would create a fuss. Okay. And create you have. Obviously, the 75 Newton forces call it after. So that is acting to raid, uh, and then to the left. You have two other forces. Um, so one of them. So one of them is f b. Uh, this is terrible. Joint F B is the force of left. Is the force exerted? Bye. Trade. Be on. Create a, uh, this is equal to FAA again. Bye, Mutants. Third law. So the idea here is that you will be the friction force between the crates. Okay. So f b it is equal and opposite to air f d. A. Was a friction force exerted by a B F B is affection for B s. So again, that's for Third Law. And finally, you have another force acting to the what? Sorry. Hard to see Zack ing to the left, and this is F sel f. And that's just a fictional force exerted on Craig B by the floors this time, because I have be enough both frictional forces that practice for FBS from great B Uh, and so in both cases, you have vertical equilibrium. So anyway, it would be equal to W W w Wait, since you and I would be Could you be? Is that the I consider enough will be equal to B plus w okay, And then you have n equals and be found FAA because that be stirred law and that's it.

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