a particle starts SHM from means postition then find out the time taken by particle in moving from mean position to half of extreme position and from half of extreme to mean position

- anonymous

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- wasiqss

so

- anonymous

my doubt is how to start i mean in first part
x=asinwt

- anonymous

no shankvee its not the ans by the way and u dont jhave to solve till i ask u ..ok
u just have to make correction in my ans or clear my doubts dat i m facing in ques

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- anonymous

ok ok very sorry. :D

- anonymous

yeah so in first part half of extreme would be A/2. Then find time.

- anonymous

np..
well here extreme means A rit and half of extreme is said to be A/2
so
A/2=Asin wt
sinwt=/2
sinwt=pie/6

- anonymous

Correct.

- anonymous

nw from extreme to mean
i m not gettin how to do this part

- anonymous

i mean give me hint dont solve

- anonymous

Whatever time it takes from mean to extreme its same for reverse journey.

- anonymous

no its not and how can be it will be same imagine there is air ressitance force is also there which slows down the speed

- anonymous

i remeber when i used pendulum timing is not same in practicals

- anonymous

Ok lets see (Air resistance does not matter This is ideal case.)

- anonymous

as velocity decreases due to time increases

- wasiqss

shm means that we have to neglect resistive force

- anonymous

Ok so if you calculate time to reach from mean to extreme then you get wt=pi/2. Now time taken to reach from mean to mean again, would be wt=pi. Think about it. subtracting the two would give wt=pi/2 so it turns out to be same.

- anonymous

but then dont u think pendulum will have same KE in all position??

- anonymous

No KE isn't same as PE varies( Conservation of mechanical energy). Total mechanical energy will reamin same.

- anonymous

thats wat i m saying velocity differs due t which KE also differs

- anonymous

to

- anonymous

Wait what are you asking?

- anonymous

time period from half of extreme to mean

- anonymous

ya

- anonymous

Well here |dw:1328375754735:dw| Now here particle will first move from half of mean to extreme and then from extreme to mean. Calculate each time seperately.

- anonymous

luk wen it is going from mean to half extreme time period is T/12
wen it goes from half of extreme to mean its timeperiod is T/6

- anonymous

yes........ that is correct

- anonymous

yea i get it means we have to do
t=T2-T1
t=T/4 - T/12
t=T/6

- anonymous

u are right partially
t = T/-8

- anonymous

You asked me time for extreme to mean and i told you it'll be same as from mean to extreme....

- anonymous

Hold on your equation are wrong anuway the time is T/12 only.

- anonymous

yea but wen we go from mean to extreme time period is T/12 and from mean to xtreme T/4 and time period from half extrreme to mean is T/6 luks value is different

- anonymous

i done this by luking ur duagram shown by u

- anonymous

It isn't T/4-T/12. That would be time from extreme to half of mean i'm talking of mean to half of extreme.

- anonymous

Wait wait hold on go slow.

- anonymous

and by the way yash calulate agin it will come T/6

- anonymous

What i'm saying is |dw:1328376302162:dw| time taken from A to B is same as B to A as in it goes directly from B to A not from B to C then to A.

- anonymous

mean to half we will get
T/12
ok nw pendulum is not stop there it goes to mean so time period we calulate is the whole displacement from mean to extreme right
now we have to see time period from half extreme to that mean

- anonymous

I'm sorry, i'm running really late i need to go, i'll reply tomorrow.

- anonymous

|dw:1328983593297:dw|

- anonymous

ok bye nd thnx for ur help

- anonymous

Did you get it???

- anonymous

yea i get and today i given my exam it was awesome but after as u gone due to some mischeif happen here so i m unable to study more my concentration gone but anyway paper goes well .. and now i got holiday finally after a long time and now i m soon going back to home :PP happy a lot ..

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