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siddharthsaxena (1059)

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Q. A wheel rotates about an axle , due to friction it experiences a retardation which is proportional to its angular velocity  (w).It makes 'n' revolutions before its angular velocity becomes half... then how many MORE revolutions before coming to rest....
 
(a) 2n
(b) n
(c) n/2
(d) n/3
 
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karthik2007 (3399)

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edit - wrong method :)

Will nip in at times to solve problems :)
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pannaguma (425)

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good one karthik.


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karthik2007 (3399)

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Siddhart... whats the answer?

Will nip in at times to solve problems :)
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feynmann (2236)

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 ans ( b ) n ;
 
soln  
 
 
                      =  - k
               or,  d/ d  = -k
 
                    giving ,   = -k
 
from which the result follows .
 
 
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rajat.khanduja (174)

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@ karthik. it can't be n/3

We have variable force as we have variable retardation.

We need to integrate.
I think feynmann is right .

I'm still trying.

Sry to say Karthik your answer is wrong.




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feynmann (2236)

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Karthik has made a mistake in calculating the work done by friction . See , the frictional force is not const . so you have to integrate to find out the total work done by friction .
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karthik2007 (3399)

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yeah, I had a hunch about that, but I was initially wondering if it is a = -kw or @ = -kw.. though it doesn't make much of a difference to the final answer
 
edit - we get dw = -kd, which is valid only for values of w which change infinitesimaly, I doubt if it would work for a change such as w -> w/2, but again, I think this is the only way it can be done

Will nip in at times to solve problems :)
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karthik2007 (3399)

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Anyway, very well done, take a salute

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anant_c (49)

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isnt it 2n?
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akshay.khare91 (480)

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the answe is 2n

I DONOT FOLLOW THE RULES I MAKE THEM TO FOLLOW ME.
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anant_c (49)

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Yea thnx
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