SHM

Issue in calculating the amplitude
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99 Replies
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Aetherfly
AetherflyOP2w ago
No description
Aetherfly
AetherflyOP2w ago
full qn since there is some initial velocity in the second case the amplitude will shift I'm calculating the amplitude using energy conservation but I'm not getting it right @Arseph
Azura
Azura2w ago
how is this SHM?
Aetherfly
AetherflyOP2w ago
assumption tunnet thru earth wala
Azura
Azura2w ago
hain mujhe smaj nhi aya ye question
Aetherfly
AetherflyOP2w ago
tunnel* arey tunnel thru earth wala nahi bataya kya?
Azura
Azura2w ago
nhi maine nhi kiya hai
hithav
hithav2w ago
Answer is √Rg ?
Aetherfly
AetherflyOP2w ago
yes
hithav
hithav2w ago
Ok Do you know how to do the normal case without the initial velocity?
Aetherfly
AetherflyOP2w ago
yessir .
hithav
hithav2w ago
Ok so by that you get an equation for shm and in this case in case of wt just put wt+phi And then you will get 2 equations one with satisfying the initial velocity and one for the position when it's at T/2
Aetherfly
AetherflyOP2w ago
yeah I get that
hithav
hithav2w ago
Amplitude shouldn't change just phase will
Aetherfly
AetherflyOP2w ago
but why am I getting incorrect amplitude using energy conse no? amplitude should change
hithav
hithav2w ago
w will be same
Aetherfly
AetherflyOP2w ago
yup amplitude has to change since there is some velocity at x = R hence amplitude is not x =R anymore
hithav
hithav2w ago
Uh then I got it by luck ig I will try again.
Aetherfly
AetherflyOP2w ago
yeah root(rg) toh bhot jage aata hai @hithav chale gaye kya?
hithav
hithav2w ago
Ok Got it
Aetherfly
AetherflyOP2w ago
lesgooo
hithav
hithav2w ago
No description
hithav
hithav2w ago
I thought the T0 is the full time period
Aetherfly
AetherflyOP2w ago
yeah its T/2
hithav
hithav2w ago
That was the mistake I was doing thats why I took so long Yeah i gtk It's just trigonometry Wait for 2 min I will write it properly and send
Aetherfly
AetherflyOP2w ago
what if you find A using energy? energy conservatn
hithav
hithav2w ago
Should give you the same value
Aetherfly
AetherflyOP2w ago
it doesnt
hithav
hithav2w ago
What did you use
Aetherfly
AetherflyOP2w ago
pls do it once using energy potential energy = GMm/x cuz initially it is at R from earth so ik its value and finally its away from earth surface so uniform sphere treated as point mass cuz A > R and potential energy at distance R = -GMm/R
hithav
hithav2w ago
No it's not happens only when it's A>>R when it's near the force vectors won't cancel out properly I Made the same mistake in some of the score tests
Aetherfly
AetherflyOP2w ago
but satellite motion me toh we consider naa score 😭 hmm this could be a score level qn tho idk
hithav
hithav2w ago
You gave the 19th March one ?
Aetherfly
AetherflyOP2w ago
26tard hu lol but I know its shit ass hard
hithav
hithav2w ago
Not all of them Some are easy
Aetherfly
AetherflyOP2w ago
oh
hithav
hithav2w ago
But the last one I wrote was very bad They took questions from Olympiads
Aetherfly
AetherflyOP2w ago
I gave COEs in 11th sad COEs are easier
hithav
hithav2w ago
COE ?
Aetherfly
AetherflyOP2w ago
centre of excellence or national srg or super srg tests
hithav
hithav2w ago
Send your method once You got into srg ? Nice
Aetherfly
AetherflyOP2w ago
ok
hithav
hithav2w ago
.
No description
HydraYT
HydraYT2w ago
why do they have it there and not here 😭
Aetherfly
AetherflyOP2w ago
where?
Aetherfly
AetherflyOP2w ago
@hithav
No description
HydraYT
HydraYT2w ago
in my branch
Aetherfly
AetherflyOP2w ago
which branc
HydraYT
HydraYT2w ago
mumbai mei
Aetherfly
AetherflyOP2w ago
what mumbai me toh hona chsiye
HydraYT
HydraYT2w ago
exactly
Aetherfly
AetherflyOP2w ago
SRG toh hai mumbai me hamare teachers gaye the padhane waha
HydraYT
HydraYT2w ago
srg ya coe ?
Aetherfly
AetherflyOP2w ago
SRG toh hai mumbai me idk about COE
HydraYT
HydraYT2w ago
oh no im in aakash bruski not allen
Aetherfly
AetherflyOP2w ago
oh lmao
HydraYT
HydraYT2w ago
sad
hithav
hithav2w ago
I don't understand what you have done for getting the value of phi
Aetherfly
AetherflyOP2w ago
the phasor rotates by 2phi cuz you need to get from x = -R to +R
hithav
hithav2w ago
Ok Fine I get it now
Aetherfly
AetherflyOP2w ago
noice so whats wrong?
hithav
hithav2w ago
One error is that you have taken the reciprocal of A wrong In the 7th line And even if you corrected that you still wouldn't get the answer
Aetherfly
AetherflyOP2w ago
sad what shld it be?
hithav
hithav2w ago
I don't know there is something wrong in the phasor method ig i don't see any other thing which would give you an error
727
7272w ago
did you guys get the ans
hithav
hithav2w ago
Yeah
Aetherfly
AetherflyOP2w ago
whats wrong w my method hmm
hithav
hithav2w ago
.
727
7272w ago
ight ill just check them out i just saw the question
Aetherfly
AetherflyOP2w ago
ok @hithav what should be the correct angle of phi to get ans? wtf it should be -2 something is fishy
hithav
hithav2w ago
I told no you took the reciprocal wrong Should be -1/2
Aetherfly
AetherflyOP2w ago
-1/2 wherE?
hithav
hithav2w ago
Sin(phi) should be -1/2 Phi -pi/6
Aetherfly
AetherflyOP2w ago
what shld be reciproval
hithav
hithav2w ago
Sin(phi) should be (u^2-2rg)/2rg
Aetherfly
AetherflyOP2w ago
waht
hithav
hithav2w ago
Yeah see what you have done once
Aetherfly
AetherflyOP2w ago
oh lmaooo brain wasnt braining that time
hithav
hithav2w ago
Try to avoid those kinds of mistakes They hurt the most
Aetherfly
AetherflyOP2w ago
fr
hithav
hithav2w ago
I did those in the actual mains :sweaty:
Aetherfly
AetherflyOP2w ago
💔 shit wrong emoji 🥀 correct now brb have dinner @727 dekha?
727
7272w ago
I just saw the sol I didn’t see your approach
Aetherfly
AetherflyOP7d ago
pls check then oh @hithav I asked my teacher this qn today and he says that the approach could be wrong
hithav
hithav7d ago
which approach ?
Aetherfly
AetherflyOP7d ago
our approach see uh basically
hithav
hithav7d ago
phasor wala ?
Aetherfly
AetherflyOP7d ago
earth ke andar and earth ke bahar field is different so we can't extend the phasor
hithav
hithav7d ago
oh
Aetherfly
AetherflyOP7d ago
your method and the book's method is same but that must be incorrect since it is done using extension of phasors
hithav
hithav7d ago
there is no other method ?
Aetherfly
AetherflyOP7d ago
there is a rigerous one the very basic method
hithav
hithav7d ago
integrate and derive everything for that specific case ?
Aetherfly
AetherflyOP7d ago
yeah that method is just incorrect cuz of differences in fields after you get out of earth its suddenly a point charge
hithav
hithav7d ago
ok understood integration you can use when you are at home having plenty of time in exam pressure i dont think you can do it
Aetherfly
AetherflyOP7d ago
yeah, atleast you know it now +solved @hithav
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