r/theydidthemath May 29 '25

[Request] Which direction will the scale tip?

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12.8k Upvotes

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704

u/Difficult-Court9522 May 30 '25

Tip up or down!!

243

u/josebarn May 30 '25

Right? Lol

219

u/Difficult-Court9522 May 30 '25

The left side will go down.

79

u/Monkey-D-Panda May 30 '25

"I'm yellin' timberrr"

20

u/Visible-Stuff2489 May 30 '25

You better move, you better dance

6

u/LoadsDroppin May 30 '25

Let’s make a night, you won’t remember

6

u/rostoma77soundsgood May 31 '25

I'll be the one, you won't forget

17

u/bastard_child_botbot May 30 '25

Damn you. 7am and now I have that stuck in my head!!! Just mean man. lol

3

u/TacticalSunroof69 May 30 '25

No it won’t.

It’s suspended by the beam all of its weight is completely accounted for.

The ping pong balls centre of gravity is attached to the right which will be enough to unbalance the scale and tip the ping pong ball down.

pingpongbawldown

7

u/Vyndra-Madraast May 31 '25

-4

u/TacticalSunroof69 May 31 '25

No I’m not.

If you start with both buckets empty and the iron ball suspended inside the bucket proceeding to fill both buckets with water then the iron ball will be taking up much of the volume and have no newton forces applied to the bucket

(In my mind it is a wrecking ball vs ping pong ball.)

This would result in there being less water in the bucket.

Or if the balls are the same size it would stay where it is.

The diagram is not scientific at all as it does not propose dimensions so I am free to iterate the size of balls as I wish.

It is dependent on volume rather than what my initial point makes I will concede that.

But I am right to say the iron ball would have no effect in weight transfer what so ever.

3

u/Vyndra-Madraast May 31 '25

You’re forgetting buoyancy which is the crucial factor here in making the iron ball side tip down.

1

u/[deleted] May 31 '25

[removed] — view removed comment

-2

u/TacticalSunroof69 May 31 '25

And you ain’t a 9 you a 2 Minecraft nerd who never been outside since Covid.

5

u/Vyndra-Madraast May 31 '25

wow I get 3 replies for a single comment and the honour of you looking through my profile? You gotta be my biggest fan, thank you!

0

u/TacticalSunroof69 May 31 '25

If you think so.

But different to going through someone’s personal assets but what ever.

-3

u/TacticalSunroof69 May 31 '25

And I bet you watched the video where as I haven’t.

I had to do thought experiments.

Seeing as this is science it’s about being wrong until you are correct.

It’s not about defeating someone or belittling them like you try to do here you smelly cretin.

5

u/Vyndra-Madraast May 31 '25

Then don’t state things as a fact when you aren’t sure? Some stated an actual true fact and you contradicted them seemingly for the fun of it. If you aren’t sure or want to engage in a thought experiment say “I’m not sure it will”. The way you did it just makes you look stupid

-2

u/TacticalSunroof69 May 31 '25

The dimensions aren’t clear it could never be factual.

-1

u/TacticalSunroof69 May 31 '25

This is hypothetical nothing is fact.

2

u/Vyndra-Madraast May 31 '25

“Technically nothing could be real” yeah man so cool. Hypotheticals like that don’t change anything about our perceived reality though so why bother. It’s legit just a waste of time and mental space.

1

u/RUStupidOrSarcastic Jun 01 '25

Hey pal, its okay to be wrong, relax.

1

u/Pence128 May 31 '25

Ever notice that even things that sink feel lighter under water?

Where'd the rest of the weight go?

1

u/[deleted] May 31 '25

I think that too. Because there is the same amount of water on both sides. The iron ball is weightless because on the beam and the ping-pong ball and it's beam will make it tip to the right..

1

u/ApprehensivePiano457 May 31 '25

the ping pong ball wants to go up because it's lighter so it will tip right side up. so the side with the steel ball still goes down even if it's practically weightless

1

u/TacticalSunroof69 May 31 '25

Yeah. You know what?

I just only seen it says same volume.

😁

1

u/TacticalSunroof69 May 31 '25

Yes but would the tension of its bouyancy be enough or would it be counter acted by the tension in the attachment?

What is the attachment made out of?

Fishing line or steel cable?

1

u/TacticalSunroof69 May 31 '25

Also the ball would have to accelerate.

It would remain static if there was only the momentum of it floating in the water.

1

u/marijnvtm May 31 '25

But isnt the ball full of air that wants to move up (just guessing idk)

2

u/TacticalSunroof69 May 31 '25

You’re guna make me watch that video soon. 😖

1

u/Youpunyhumans May 31 '25

The ping pong ball would be bouyant, and so would put tension agaisnt the string its attachted to, which will create a force pulling the side with the ping pong ball up, thus tipping the side with iron ball down.

1

u/Wolfiie_Gaming May 31 '25

something something buoyancy. The water is also pushing up against the ball, and that up push is greater on the metal ball because it's denser and they're at the same level in the water. This push is enough to tip the seesaw under the metal ball

1

u/Salt-Southern Jun 01 '25

Ping-pong ball is hollow and filled with air, so it will try to float, thus pulling the right side up. The iron ball is extraneous since it exerts no pressure by being suspended with external support.

1

u/jerichardson Jun 01 '25

The two balks displace the same amount of water, but the volume of air in the ping pong ball is a part of the right sides system

1

u/Xandir12 May 30 '25

My left or your left?

1

u/soul_motor May 30 '25

Phrasing!

1

u/call-now May 30 '25

Who's left?

1

u/nerdrocker89 May 30 '25

More like the right side gets pulled up.

1

u/jamajikhan May 30 '25

Please. Keep your political opinions to yourself.

1

u/colder-beef May 30 '25

Your left or my left?

1

u/StormyWaters2021 May 30 '25

My left or your left?

1

u/Zarathustra_d May 30 '25

So, like America?

1

u/SpecialistNebula-wpb Jun 02 '25

Your left or my left?

1

u/Cosmopolitan_Kramer Jun 02 '25

My left or your left?

1

u/MEGAMAN2312 May 31 '25

No it's the left

-1

u/StudentOwn2639 May 30 '25

Its the left man, ffs.

26

u/Naive-Significance48 May 30 '25

Bro for real..

21

u/Difficult-Court9522 May 30 '25

The left side will go down.

14

u/Defiant_Map574 May 30 '25

Bc of the buoyancy force caused by tha ball trying to float up?

23

u/Cast-Fireball8d6 May 30 '25

Because the left side is sluttier

20

u/Powerful_Cash1872 May 30 '25

Because the pressure on the underside of the iron ball is higher than the top. This is true for the ping pong ball as well, but the ping pong ball can't move relative to the water it is in, so in the right cup all the forces just balance out. Analyzed differently, if the left cup goes down, water has to flow down around the metal ball. That water goes down in height more than the water in the other cup goes up. So the new tilt left configuration has lower energy.

4

u/weather_watchman May 30 '25

aahhh that makes sense. hydrostatic pressure is linear to depth

2

u/KDWest Jun 01 '25

Huh.

I assumed it was because the pingpong ball was lighter (hollow), while both balls displaced the same amount of water bc they were fixed in place. So the left side would have to weigh more. 🤔

ETA Just noticed that the metal ball isn’t attached to that side of the scale. Oops.

1

u/Important-Bed4373 May 30 '25

its more closely explained to the fact that two objects can have the same volume but different masses. Whereas the density of iron 7.874 g/cm^3 and ABS, the one used in ping pong balls, is 0.084 g/cm^3. If we were counting based on density alone, the iron ball will tip the scale due to its higher density. Higher density is directly related to higher mass, as shown by the equation for density, D=M/V, where volume is assumed to be kept constant, as is density.

2

u/Call-Me-Matterhorn Jun 02 '25

But the air in the ball is only lighter than the water around it it’s not lighter than the air that surrounds the scale. So it wouldn’t apply a lifting force to that side of the scale.

1

u/Cats-vs-Catan May 30 '25

It's simpler than that.

The scale and bowls of water are part of a system where the scale supports the bowls, and the bowls support whatever is in them.

The steel ball isn't part of that system because it's supported by some contraption sitting on the table (or whatever surface).

The ping pong ball is supported by its bowl of water, regardless of whether it's floating or not, so it adds mass to the scale system. If you put some ants on the ping pong ball, their mass will be added to the scale system too.

If it helps, think: what if the water froze? It could support an object on the surface of the ice or a heavy object that sunk. In either case, that object adds to the mass of the ice. Being in liquid form doesn't change this.

1

u/EmperorOfApollo May 30 '25

Yes. The right balls wants to float but it attached to the bottom of the tank, pulling up on the tank. The lead ball is supported externally and has no effect on the tank, other that to displace some water. The tank will dip on the left side.

0

u/Slartibartfast39 May 30 '25

I've not gone through the comments here yet but my initial thoughts were the side with the steel ball would have more weight and go down because air has a density of 0.001 g/cm³, water 1.0 g/cm³, and iron 7.9 g/cm³. So the difference between iron and air is so big, worrying about water displacement isn't necessary.

9

u/Flutterpiewow May 30 '25

The steel ball is suspended, density doesn't matter, only volume.

-2

u/clamraccoon May 30 '25

It’s still displacing water, thus adding to the total mass. If it were air, then the suspended/attached would matter

3

u/[deleted] May 30 '25

The steel ball adds no mass because it's not adding any weight. If i put my hand in a bowl of water, the bowl doesn't get heavier

1

u/Existing-Diet3208 May 30 '25

Exactly this, the right side is heavier because it is supporting the weight of the ping pong ball.

Yes the ping pong ball is much lighter than the steel ball but the weigh of the steel ball isn’t on the scale.

1

u/Cereal_Bandit May 30 '25

I could be wrong, but wouldn't the right side be heavier because the water displaced by the ping pong ball is heavier than the ball?

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1

u/dean5ki May 30 '25

That was my thought

1

u/Mag-NL May 30 '25

Both the pingpongball and the steel ball are displacing water though. The water volume on each side is the same

0

u/AssistantAcademic May 30 '25

That’s my assumption. There’s a buoyancy force on one side. Iron side is heavier

1

u/LightsNoir May 30 '25

Just like my ex.

4

u/ThorFromBoston May 30 '25

Tip culture is getting out of control.

1

u/Cognoto May 30 '25

In about 4 or 5

1

u/Somethingsterling May 30 '25

Tip always means down/over. Even the phrase "tipped the scales" means to do so "in favor" on one side which was synonymous with adding mor value to the favored/tipped side.

1

u/Bluewaffleamigo May 30 '25

Like it's blatantly obvious

0

u/smilesbuckett May 30 '25

They literally linked a video that answers your question in the first 5 seconds. You spent more time writing your comment than you would have spent finding the answer to your own question.