5:14 PM
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Q: How to use centrifugal and/or centripetal forces to solve a problem?

Ayush SinghSo this was the question that was asked by my teacher from a very famous book for exams in India, Concepts of Physics by H.C. Verma. For reference, this question is Q.62 from Work and Energy Exercise: A smooth track consists of a straight inclined part of length l joining smoothly with the circul...

 
If you are using centrifugal anything before university physics, you should stop. Just use an inertial frame and solve things without using that.
 
@naturallyInconsistent It wouldn't hurt to know how to solve using centrifugal and centripetal force.
 
There is no such thing as centrifugal force. It is strictly a fictional effect that comes from the use of non-inertial frames, and is causing too much confusion with students.
 
But how else would one solve a problem like the one I mentioned: A particle is left from the top of the circular track. find where it loses contact?
 
By doing it properly. Only need to consider what centripetal acceleration requires things to be, and doing a test on the normal reaction force. There is only one way to get a logically acceptable answer using purely Newton's Laws in this inertial setting, and it will always get the correct answer.
 
5:14 PM
2 things. First I am working on the Work and Energy chapter, so, newton's laws should have the least usage in this problem. Second, I still didn't get what you mean by " Only need to consider what centripetal acceleration requires things to be"
 
5:31 PM
I have no idea why anybody would want to teach work and energy before Newton's Laws, seeing that 1) Newton's Laws are conceptually easier to teach and 2) solves many problems that energy alone cannot and 3) is usually the reason to motivate the consideration of energy, rather than the other way around, or some 3rd party move.
 
No, ive done newtons laws of motion
i meant that the problem is supposed to be solved with work energy, and not newtons laws to give more practice
 
That is a most bizarre misunderstanding. If you have already done N2L, then you should be expected to use N2L when required. This problem has a bit of stuff that can simplify your argument if you use energy, but it will require the use of centripetal acceleration, which is a N2L topic.
i.e. it is an AND question, not a OR question. You cannot choose to only use energy.
 
ya ofc, i said we had to minimise the use of nlm
thats the point of work and energy, isn't it?
 
No. Energy is an organising principle from which we understand our universe in its own right. It is just so happens that Newton's Laws is the correct introduction to young students.
 
not to offend you, but why does that seem more philosophical than physical?
also, this is very apart from my question
 
5:40 PM
Because if you learn enough physics, there is a lot of philosophical views to make sense of the whole structure.
I am not at all interested in solving just your single one question.
 
okie, i get the fact that i should use nlm in inertial frames, but why and where am I going wrong
 
For your question, you can use energy to quickly supply the variables you need for the centripetal acceleration calculation.
 
but if you see walter lewin's lectures, he says that centrifugal force is a very real thing
he just seems to like and use it more than centripetal force
 
You are wrong because there is no logical step that you could get anything correct by throwing centrifugal anything with gravity.
 
wdym
 
5:42 PM
No, I have watched the entire set of Lewin's lectures and I am not at all able to remember when he used centrifugal anything.
 
i just saw it
wait
 
He only said that you feel it in your bones that there is a centrifugal effect
But that is an illusion.
But that is beside the point. If you are not yet in university physics, you should not be using centrifugal for anything
As long as you have not yet derived the maths of centrifugal, Coriolis and so on, you are in no position to argue using them correctly. Wayyyy too easy to make mistakes.
 
fyi, indian exams are just annoyingly equal to university physics
also
ik that centrifugal force is a psuedo force
and it works just as well if used properly
also, i kind of like it, since it worked for me in each case except this one
 
Well, I have helped enough Indian students myself and I am not willing and able to continue helping any student who insists in using centrifugal effect when they are clearly not yet able to deal with it.
 
i have nothing to say...
still
explain me if where I'm going wrong and why I'm going wrong if at all in the following problem
the max height needed to release a particle which will complete a circle in a track (like the hotwheels ones)
is 5/2 of the radius of the circular part of the track
now here what i would do is equate the centrifugal force with gravity at the top most point
and then figure the mathematics out
now specifically, where am i going wrong
??
 
5:51 PM
It does not seem like this is a hotwheels track type question.
 
i meant that the particle is on the inside of the circular track
not outside
because the hotwheels cars travel inside the track, duh
 
If it is inside, then trying the centripetal = gravity trick could work. But this does not seem to be that.
 
in this specific problem its outside the track
 
ik @tensorman666, but he is trying to explain something else
 
5:53 PM
Also, it is centripetal = gravity, not centrifugal = gravity
 
wait, explain that
 
I am not trying to explain something else; you asked something else here and I am not sure what it is you want
Explain what?
 
centripetal = gravity, not centrifugal = gravity
this thing
bcs walter lewin explained it with centrifugal force ig
 
at the topmost point, you can find the velocity by WPE and then you just see that there are no horizontal forces acting on the thing at the topmost point so the total force is just mg-N
then you equate it to the centripetal force
then you get the answer
which is the centripetal force
 
Ok, sure. When you have the hotwheels situation, the top of the track is curving downwards. Gravity is pointing downwards, centripetal direction of the top of the track is also downwards. If you want to do any equalisation, you use centripetal = weight. Centrifugal would be the opposite direction.
 
5:55 PM
wont the normal be equal to mg - Fc?
wait
 
yes but thats not what we want
 
2 people chatting is tough
 
we want the total force right? its mg-N them
 
yes but the answer
 
@tensorman666 yes, this is far better
 
5:56 PM
but then you require a force for accelarating the block in a circle
which is mg-N
 
is not that
the answer which everyone is saying is just Fc
 
ok so what
 
you should know that the centripetal force is not something which exists independently as its own in nature like gravity or nuclear forces. The centripetal force is provided for by other forces acting on the object
so as to move it around it a circle
think it like this:
at the topmost point the block is undergoing accelaration given by v^2/r due to virtue of its circular motion right
 
yup
 
5:59 PM
so the total force acting on the object =ma=vv^2/r
m*v^2/r sry
which is the centripetal force
did you get it/
 
total force is Fc
 
what abt gravity
 
bruh
look at what i said earlier
mg-N PROVIDES the centripetal force
 
ooh
 
6:01 PM
I will leave you with Tensorman666. He is saying all the correct things and it is clear that he knows what he is saying and giving you good help.
 
so my analogy N = mg -Fc is mathematically correct, but psychologically flawed?
 
but then wth did i get correct answers for the previous problems
 
which grade are you in
 
like the one asking for the minimum velocity of the pendulum to complete a circle
 
6:03 PM
you are a jee guy right>
 
11th grade?
 
10 actually
 
nvm, for the minimum velocity thing for pendulum you can do the same thing
 
There are situations whereby your trickery could work; it is just not a coherent way to work things out. It is a cheap way to get a specific scenario, but it is not a full framework to solve problems like N2L is.
 
6:04 PM
T+mg provides the centripetall force
i think its best to work in inertial frames, centrifugal force is a slippery concept
 
justa second
 
It is far more important to learn a full framework that will always work, rather than specific tricks that only gives you the correct answer in specific scenarios.
 
but there i said that T must be equal to zero at the top point for the circle to be complete
 
im curious, did you skip the derivation of the centripetal force expression?
I feel like that is central to our discussion here
 
not really
but it is a part which i don't really remember well
like i remember the coordinate geometry part
 
6:07 PM
which state u from
coz imma 10th grader myself ;)
 
but i dont really know the intuitive explanation of Fc
well, all over, like born in delhi, rn in kolkata, and parents from lucknow and bangalore
 
for that refer to the geometric derivation for intuition
it uses a cool sinx/x limit
you will get your intuition
did you give IOQM last year
 
isnt it like that where they approximate the position triangle for the velocity triangle??
yes
 
qualified for RMO?
 
but culdnt qualify for inmo
ya, rmo gave the paper, like cut off was low only
 
6:10 PM
how much u got
im rmo
i got like 8
;9
 
lower than my expectations
thats al
thats what matters
 
nice talking t you and bye!
gotta sleep
7 hours
 
mom?
she does that with me too
 
will kill me if i dont go to sleep rn
bye1
 
i understand
bye