NLM: Direction of friction

I'm really confused about how to solve the question.
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34 Replies
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Opt
Opt3w ago
Is the answer 12? @SirLancelotDuLac
SirLancelotDuLac
SirLancelotDuLacOP3w ago
Ye Can you share your working?
Opt
Opt3w ago
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Opt
Opt3w ago
F=ma along horizontal and vertical
SirLancelotDuLac
SirLancelotDuLacOP3w ago
How do we know if the system is not accelerating towards the left of right? For instance in this, the force on the lighter block would be 60-(T=)12-43.2 which is not zero
Opt
Opt3w ago
Net force on the system along horizontal is zero, so net acceleration must also be zero Friction takes care of that.
SirLancelotDuLac
SirLancelotDuLacOP3w ago
Wait is this leading to the paradoxical "Friction or Tension" question? Like which one acts first, friction or tension?
Opt
Opt3w ago
That would be friction, but in this case, it's irrelevant. Normal>friction>tension>spring in terms of response speed iirc
SirLancelotDuLac
SirLancelotDuLacOP3w ago
For instance for T=60 we would have block having no tendency to move, which would make the frinction zero
Opt
Opt3w ago
We don't need to know the priority here though, since we can take equilibrium along horizontal. Because net force is zero
SirLancelotDuLac
SirLancelotDuLacOP3w ago
Well, 2 questions: 1. What if the frictions of the two blocks come out to be different? In that case there can be a net acceleration of the system. 2. Can tension act first than friction?
Gamertug
Gamertug3w ago
wait with changing time wont friction change
Opt
Opt3w ago
The first one is something I need to work out actually. Oops. Second one is simple. Yes, but only if tension is the cause and friction is the effect. If they are both responses to a single cause, then friction is first.
Sephrina
Sephrina3w ago
But our question says na that it is accelerating in upwards and no mention of any acceleration of x axis and then there is the different coefficient of friction
SirLancelotDuLac
SirLancelotDuLacOP3w ago
"the surface is accelarating upwards" tho.
Sephrina
Sephrina3w ago
Yeah thts the acceleration on y axis
SirLancelotDuLac
SirLancelotDuLacOP3w ago
Wierd. I remember reading about this paradox somewhere. Lemme search once.
Sephrina
Sephrina3w ago
Surface is our platform where it is kept
Gamertug
Gamertug3w ago
ok wait nvm i get
SirLancelotDuLac
SirLancelotDuLacOP3w ago
Ah, the question maybe ambigous ig. For an infinitisemaly small displacement of block the value of friction and tension would change if at equillibrium.
_zbro
_zbro3w ago
Why did you consider that maximum static friction would be applied over the block? I had once got into this confusion while solving a question, and I didn't clear it out yet.
SirLancelotDuLac
SirLancelotDuLacOP3w ago
The friction v tension one?
_zbro
_zbro3w ago
Yes It was a question like a block attached to a pulley over a rough surface of an inclined plane I too have the same confusion here in this question as well, why will we consider maximum friction being applied?
hardcoreisdead
but if tension is 12 net force of right block will be 60-T-umg = 19.2 towards right this would mean block on left reaches limiting friction while the one on right doesnt why doesnt the inverse happen
Ace007
Ace0072w ago
but coeff is diff for the blocks so how do we know theres horiz equilibrium
idk either
idk either2w ago
hey are you sure the answer given is 12? according to my teacher it is 16.8
SirLancelotDuLac
SirLancelotDuLacOP2w ago
The answer key maybe wrong as plenty of other questions were wrong too. But can you share your approach?
idk either
idk either2w ago
i didnt fully understand but ill quote what he said: The external forces are cancelling each other, so yes system will be in equilibrium. As the external force keeps increasing, it'll first reach the value of 43.2N which is the maximum fiction on the 6 KG block. After this tension will become non-zero to balance the extra force. So ultimately the tension will have to be 60-43.2 which is 16.8 Ν.
SirLancelotDuLac
SirLancelotDuLacOP2w ago
Ah, the equillibrium point is clear now. But wouldn't that just give that the friction in both the blocks is same, just in different directions?
idk either
idk either2w ago
yes..until 6kg block reaches maximum friction. then tension will generate to keep equilibrium. that was my understanding
SirLancelotDuLac
SirLancelotDuLacOP2w ago
Aah I see. Thanks a lot. +solved @idk either @Opt
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