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A uniform metal rod of length l I balanc...

A uniform metal rod of length l I balanced at the mid point on a sharp edge. We bend one side at l/4 from B by an angle of `90^(@)`. Where should the support be placed in order to maintain the equilibrium.

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`(mx)/lxx(x)/2`
`=m/4xx(l/2-x)+m/l(l/2-x)xx((1/2-x))/2`
`rArr (x^(2))/(2l)=l/8-x/4+l/8+(x^(2))/(2l)-(lx)/(2x)`
`l/4=(3x)/2`
`x=l/6`
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