Mechanics

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Blazing goIITian

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5 May 2007 11:30:36 IST
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Hey guys and gals check this out!!!!!!!!
A sphere of mass m and radius  r is  projected  in a viscous medium of coefficient of viscosity n (eta) with a speed v.Find the distance travelled and time taken before it stops when it is projected in :-
i)gravity free space;
ii)presence of gravity



Comments (13)

PRATIK KALANTRI's Avatar

Cool goIITian

Joined: 22 Apr 2007
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5 May 2007 13:14:59 IST
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in gravity free space it is 0

New kid on the Block

Joined: 19 Apr 2007
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5 May 2007 18:05:26 IST
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how it is zero ?
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Blazing goIITian

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5 May 2007 18:48:34 IST
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Well answer for the first part is not 0.
govind sukumaran's Avatar

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5 May 2007 19:24:04 IST
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in gravity free space it will travel infinitely after attainin terminal velocity......am i right?
govind sukumaran's Avatar

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5 May 2007 20:02:54 IST
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no yaar sorry,......thts wrong
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Blazing goIITian

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10 May 2007 21:04:37 IST
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Hey anyone???????????????????????I myself don't know the answer
and I have to get the answer as I have a test on entire mechanics this coming tuesday.
AMZY GAWADE's Avatar

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11 May 2007 12:01:48 IST
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IN G FORCE:-
THE SPEED=THE FORCE ACTED ON BODY.* G CONT
& THE TIME= F* DISTANCE[S]*G CONT
 
ALSO THE METOD OF ANS. IS IS SAME FOR THE SEC. ONE BUT THE ANS HAS TO BE DIV.BY G CONT.
Aatish Pandit's Avatar

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11 May 2007 13:22:14 IST
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hey if there is no gravity at all then there is no questio of any bouyancy or any other force so only viscous force comes into play here..........
 
Therefore we have a retarding backward viscous force say F, acting on the sphere, which is
                        F=6rv
            also      F=ma,             here 'a' is the retardation due to viscous force.
on comparison we have.....
 
                     ma = 6rv   --------------------(1)
 
but from the equation of motion "V=U+at" we have V=0, U=v and  a = -a
 
therefore U=at=v   ------------------ (2)
 
from (1) and (2)
 
t = m / (6rv)
 
similarly we can calculate for distance...........
 
 
I hope my approach is right if yes then pls rate me Thanks........
 
Cheers....................
 
 
Aatish Pandit's Avatar

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12 May 2007 17:55:41 IST
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knock knock!!!!!!!!!!

someone there??????????/
U ALREADY KNOW's Avatar

Blazing goIITian

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12 May 2007 20:54:02 IST
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YA AATISH actually I was verifying your answer and I found that you are correct.Thankx.But yaar please try to find out the answer for part (ii) also i.e. time and distance in presence of gravity.
Aatish Pandit's Avatar

Blazing goIITian

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13 May 2007 14:23:21 IST
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Hey buddy I tried for it but could not succeed.........

I think we must ask this one to experts.........

waiting for reply..........

Cheers...........
puneet chadha's Avatar

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Joined: 28 Apr 2007
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14 May 2007 19:41:29 IST
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hi guys you have forgotten the fact that viscosity is proportional to instantaneous velocity...
use calculus n you will get the answer....
as far as second question is concerned...as the solid will fall with terminal velcoity.........so it will travel infinitely...
U ALREADY KNOW's Avatar

Blazing goIITian

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14 May 2007 21:51:45 IST
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We know that pcdagr.But still , using calculus we are not getting a perfect final answer.If you think you can do it then please post the final
answers here.



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