## anonymous 4 years ago at equilibrium position acceleration of paticle is maximum in simple harmonic motion ...give reason y is it so..

1. anonymous

simply because velocity is minimum. now i would like it if you think about it more i haven't studied SHM yet but these things are thinkable

2. anonymous

den what it means here by equilibrium??

3. anonymous

its a 11 course u alredy studied

4. anonymous

no i did not, back in 11th i was the worst student you could ever imagine

5. anonymous

when its velocity is zero

6. anonymous

i knw u are i dont ahve to imagine jk

7. anonymous

thanks

8. anonymous

look here in equlibrium is it means when volcity and accleration are equal?? say

9. anonymous

look here in equlibrium is it means when volcity and accleration are equal?? say no

10. anonymous

no you can't achieve equilibrium when v and x equals

11. anonymous

v and a not x

12. anonymous

lolz.. shayaan nice way of ans

13. anonymous

i am just looking. and watching your answers. :D

14. anonymous

ok here it simply mean that here velocity is balanced by air resistance rit then how can be accleration max means u said it help in decresing just before say

15. anonymous

ok here it simply mean that here velocity is balanced by air resistance wrong statement.

16. anonymous

then how it balanced??

17. anonymous

only 5 min i had cmn quick quick....

18. anonymous

do you know there is interference of acceleration due to gravity i.e. g=9.8m/s²

19. anonymous

in SHM gravity comes but it will be equal in all move of pendulum i think so

20. anonymous

heena simply the point where velocity of the body gets zero is equilibrium if it doesn't then there is no equilibrium point and no to&fro motion

21. anonymous

again. do you know the closeness of pendulum to Earth is more accelerated than the far? I mean to say that at mean position pendulum is close to the surface of Earth therefore g attracts the pendulum and pendulum's velocity changes, change in velocity is known as acceleration.

22. anonymous

then acceleration max. wat it sense then say?

23. anonymous

one thing pendulum is not so big dat it move from one end to other end of earth

24. anonymous

my last statement says all. try to understand my words.

25. anonymous

yeah read shayaan's post again

26. anonymous

u knw i have to exaplain to sir.. and like how i m arguing my sir do dat too..

27. anonymous

one thing pendulum is not so big dat it move from one end to other end of earth ohh no.. here i means you displace pendulum from its mean position.

28. anonymous

so you have viva.

29. anonymous

yea i get wat u tring to say

30. anonymous

thanx ishaan94

31. anonymous

nah in coching we discuss DPP dat time we have to do dat and g works same in one point and lets take ur point the their will be a minte change i think so

32. anonymous

gettin late gtg plz give a solid reason plz...

33. anonymous

bye...

34. anonymous

yes. this change is so so so,, minute that we can't measure it.

35. anonymous

tc. bye. good luck.

36. anonymous

Regards, Read my Profile. :D

37. anonymous

ur profile y?? is der any impt info for me ...

38. anonymous

hehehehhehehe..... no no.. its my sign, say. :D

39. anonymous

ishaan want to kill u bhudhu kam k time to kuch ate ni ho... :"( agar sir ne y ques mjse pucha remember voice of knocking at ur door will come !!!!!

40. anonymous

ishaan94 to gaya. hahahahaa...

41. anonymous

acha laga ap 2no se mil k.. nice fun..

42. anonymous

well bye friends. i have to go now. its university tomorrow. tc all and good luck for new day.

43. anonymous

heena are you here?

44. anonymous

Bye shayaan!

45. anonymous

Okay, I am gonna try to post my explanation in here hoping you would check OpenStudy in the morning (before you head for your classes). Now I am going take a simple example i.e the spring mass system. $F_{\large{sb}} = - kx\Large{,} \small\text{ 'sb' implies force of spring on body}$ The force of the spring grows stronger with the distance the object or body covers. So let's take a look at the diagram. |dw:1327602501444:dw| The case here is that the object rest in it's natural state to move we push or provide it some velocity somehow. Now the object due to velocity it acquired would go ahead or back depending on the direction of the velocity but here what matters is that it moves from its natural position. The more the distance the object covers the more force grows stronger and gets more negative as $$F_{\large{sb}} = -kx$$. From Newton's Second Law.$F_{\large{sb}} = ma$As the Force on the object gets more strong the acceleration or the negative acceleration gets strong too and finally the object stops attaining equilibrium but note the equilibrium it achieves is unstable not a stable one. What you wanted to know is why acceleration maximum when velocity is Zero? Well, you need only think now. Velocity gets zero at the maximum possible distance or displacement from the object natural position. Greater the distance; greater the force and greater the acceleration. Hence, acceleration is maximum when Velocity is Zero. I hope I made myself clear.

46. anonymous

Oh crap! I drew a drawing and had more text than this. All got lost! :-/ Oh God! Why!?! I feel so bad. I did so much work! Heena the case I was or am considering is a simple spring mass system. |dw:1327603451434:dw|

47. EarthCitizen

Equilibrium means balance in both negative and postive forces

48. EarthCitizen

wat is the question to be solved ?

49. anonymous

I think your Job is done but if she posts some doubt you must help here as my wish was 'djinni help her understand simple harmonic motion on her question'. :-D

50. EarthCitizen

lol

51. anonymous

heena. I HAVE studied simple harmonic motion. Maybe I can offer some insight. Simple harmonic motion is modeled as a sine wave. Simply put, $x = \sin(t)$Let's say the equilibrium position is defined as $$x(0)=0$$ Differentiating $$x$$ with respect to time to determine the velocity of the mass. $v = \cos(t)$Differentiating again to obtain an expression for acceleration. $a = -\sin(t)$ If we look at a plot of all three, we can see that acceleration is 180 out of phase with position and velocity is 90 out of phase with displacement. Look here: http://www.wolframalpha.com/input/?i=plot+sin%28x%29%2C+cos%28x%29%2C+-sin%28x%29 The equilibrium position is where the blue line crosses the x-axis. Here, velocity is maximum while acceleration is minimum.

52. anonymous

Ishaan Bhaiya budhu nahin hai, Heena didi!!!!!!!!!!!!!

53. anonymous

Heena didi, ur DPP Problems are so difficult? Mera kaun sa halat hoga agle saal?