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12 Jul 2009 22:07:20 IST

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a semicircular wire of length L and radius R has a mass M, find out the gravitational field at the c

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a semicircular wire of length L and radius R has a mass M, find out the gravitational field at the centre of the circle(plz explain it fully)

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chandramouli bandhopadhya

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Joined: 10 Jul 2009

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13 Jul 2009 00:55:03 IST

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use the formula man.....f=gxmxm/r2use the formula...ask isaac newton.he might know how to get the formula

sarthak verma

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13 Jul 2009 17:50:08 IST

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actually this isnt the problem, the problem is we have to solve via integration but i'm confused about what to choose the limits and how will we get 'dm' so that we integrate it to proper limits to cover the whole wire

sarthak verma

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13 Jul 2009 17:52:27 IST

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the answer comes out to be 2piGM/L-square

BALGANESH

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13 Jul 2009 18:32:54 IST

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consider a small part of the semicircular wire dl

now dE at the centre due t o this part is = Gdm/R^2 sin@

teh cos componenets get cancelled

dm =M/L *dl

dl= Rd@

dm = M Rd@ / L

dE = G M Rd@ / L *R^2sin@

= GM/RL sin@ d@

inetgrate both sideslimits to righ t hadn side wil eb 0 to pie

E = GM/RL *[cos pie - cos 0]

= 2GM/RL

I f u want it in terms of pie

pieR = L

so E = 2GM/pieR^2 eliminating L

E = 2GMpie /L^2 eliminating R

sarthak verma

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13 Jul 2009 19:19:54 IST

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thnx

edison

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27 Feb 2011 12:15:13 IST

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http://www.goiit.com/posts/list/mechanics-a-semicircular-wire-of-length-l-and-radius-r-has-a-962721.htm#1107434

edison

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27 Feb 2011 12:15:49 IST

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Very Well done Balganesh

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