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

Question

wasiqss · Answer

so

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

ok ok very sorry. :D

anonymous · Answer

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

anonymous · Answer

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 · Answer

Correct.

anonymous · Answer

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

anonymous · Answer

i mean give me hint dont solve

anonymous · Answer

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

anonymous · Answer

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 · Answer

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

anonymous · Answer

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

anonymous · Answer

as velocity decreases due to time increases

wasiqss · Answer

shm means that we have to neglect resistive force

anonymous · Answer

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 · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

to

anonymous · Answer

Wait what are you asking?

anonymous · Answer

time period from half of extreme to mean

anonymous · Answer

ya

anonymous · Answer

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.