SHM

[gaunt iris]

i assumed two functions y1 = Asin(wt+phi1) and similarly y2

y1=A= A sinphi1 , this gives phi1= pi/2

similarly phi2 can be 7pi/6 or 11pi/6
since velocities are opposite and that of y1 is +ve , vel of y2 must be -ve so phi2= 7pi/6

now we have complete functions of y1 nd y2 . equate them

edit: i have solved this but looking for better ways to approach this problem
i just did some tiny error in taking initial phase

[wise roost]

<@&1227987967939838003>

Note for OP

+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.

[gaunt iris]

boils down to this
x= wt = 2pi/T * t

[wise roost]

<@&1227987967939838003>

Note for OP

+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.

[proven nymph]

T/8?

@gaunt iris

oh no

T/6

yea

[gaunt iris]

can u share your working

[proven nymph]

yeah wait

[gaunt iris]

how did u get the eqns

[proven nymph]

Distance travelled in Covering theta angle ko equate kardiya bas

[gaunt iris]

yeh dono kaise aaya

[proven nymph]

Asin(pi/2) tha pehle x
right!

?*

ti theta aage jaane ke baad kya displacement hogi

Asin(pi/2 + theta)

[gaunt iris]

matlab u took the same approach as me ?

[proven nymph]

same i did with the second one

[gaunt iris]

finding phi1 nd phi2

[proven nymph]

yes

[proven nymph]

barabar honge bhI

bhai

yahi fault ki tune

[gaunt iris]

wait no

[proven nymph]

like the distance covered by both in a particular time interval barabar honge

kyunki dono ka W same hai

and jab wo meet karenge then they'll be symmetric about any axis of the phasor

[gaunt iris]

ok so basically first particle x= Asin(pi/2) pe tha , it moved theta so now it is at x= Asin(pi/2+theta)

for the second it was initially at x= Asin(-pi/6) now it moved theta x= Asin(theta-pi/6)

[proven nymph]

yes

exactly

and jus calculate the theta where they'll meet

and usse time nikal lo

[gaunt iris]

apart from the question what if the second particle moved theta in anticlockwise direction

x=Asin(-theta-pi/6)

[proven nymph]

Minimum time nikalna hota hai bhai
aise to infinite time baad bhi meet karenge

since it is periodic

they'll not give two answers mind you

always go for the minimum time

[gaunt iris]

nahi mein iss ques se alag bol rha hu

about writing x coord for any random particle

if its anticlockwise its -theta

[proven nymph]

haan

yes

sahi hai

[gaunt iris]

bruh then ques mein particle 1 ka sin(theta + pi/2) kaise hua

[proven nymph]

see -ve positive tu apne aap maan skta hai
bas angle verticle se lena

[gaunt iris]

its moving anticlockwise

[proven nymph]

wdym?
clock wise hai

phasor dekh

[gaunt iris]

talking bout particle at B

[proven nymph]

B point dekh

[gaunt iris]

its moving towards A right

[proven nymph]

haan to it moved anti clockwise??

[proven nymph]

no😭😭 bhai phasor nahi samjha tu

SHM mein they're moving towards each other

but phasor mein to same direction mein hi chalenge na

W same hai dono ka

🤕

[gaunt iris]

aise hi toh hai velocities

[proven nymph]

B ki downwards hai

you don't understand phasors ig

dekh

jab particle B neeche aaega

[gaunt iris]

tbh yes

[proven nymph]

go wo horizontal line hai na

uspe wo backward jaaeha

jaaega

lemme write it for you

[proven nymph]

seekhlo its important

particle ki projection horizontal pe banao
maybe ek or problem ho ki tujhe verticle phasor sikhaya ho

mai to horizontal wala krta hu
both are the same tho

[gaunt iris]

thoda sa ganda fig hai but i hope u get the idea

[proven nymph]

yeah i got it
but you didn't understand
sawaal mein same W likha hai na
tune ulta kardiya W
now B ka W is opposite of A ka W

[gaunt iris]

OHHHHHH

makes sense now

[gaunt iris]

bhai kahan se karu phasor wali cheez

my sir messed it up

[proven nymph]

mai isse karke dekhta hu agar similar answer aata hai to

[proven nymph]

lmao😭😭

[proven nymph]

what happened

[gaunt iris]

phase ka last ch tha

shm+elasticity

[proven nymph]

i see

[gaunt iris]

its pretty messed up

time period wale ques mostly ho jate tho

[proven nymph]

SHM mein tough to bas wo last wala part hi hai

torsional wagera

[winged jungle]

Wait why is A and B same direction

I thought they were approaching each other

[gaunt iris]

maybe it isnt as messed up as i think

[proven nymph]

😞W same assume karenge and amplitude bhi same

[gaunt iris]

just dumb errors

[proven nymph]

they're approaching in SHM

visualise kar

[winged jungle]

Hmm

[proven nymph]

yeah
sin(pi/2 - theta) lene se bhi same answer aaega

i checked it

both situations are correct

[gaunt iris]

aise hoga

[winged jungle]

What is W

[proven nymph]

both are correct

same answer aaraha hai

kyunki

[gaunt iris]

brother i am posting 2 more doubts pls solve

basically constraint mein dikkat hai

[proven nymph]

sin(pi/2 + theta) = sin(pi/2 - theta)

[proven nymph]

omega

[winged jungle]

Oh accha

[gaunt iris]

yeah

+solved @proven nymph