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Mechanics

Blazing goIITian

Joined: 31 Jan 2007
Post: 1069
20 Sep 2007 21:07:39 IST
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waves find distance between 2 nodes
None

The equation of a stationary wave along a stretched spring is given by
 
y= 4sin 2x/3  cos 40t
 
where x & y are in cm and t in seconds
 
The separation between two adjacent nodes are
 
Ans 3 cm
 
Please give me a detailed solution


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Krishna Gopal Singh's Avatar

Forum Expert
Joined: 29 Dec 2006
Posts: 5153
20 Sep 2007 22:41:14 IST
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Comparing it with
y =asin(kx)cos(wt)
we get k=2/=2/3
So = 3cm
Distance between nearest nodes = /2=1.5 cm




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