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Mechanics

Cool goIITian

Joined:	14 Apr 2008
Post:	55

16 May 2008 13:24:28 IST

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438

Challenging one in shm

None

A particle of mass m is located in a unidimensional potential field wher epotential energy of the particle is given by:

U(x)=A/x^2 - B/x^2

A and B are +ve constants

Find the period for small oscillations which the particle perform bout its mean position

Ans=( $4\prod$ A*(mA)^0.5) /B^2

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Comments (2)

mukul bansal

Blazing goIITian

Joined: 9 Sep 2007

Posts: 640

16 May 2008 13:33:45 IST

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i think u can do it as:

F = - dU/dx

now u will get a relation in F and x
\
and now:

F = m a

and a = - (omega)^2 x

now i think it is esay...........

animal

Hot goIITian

Joined: 5 May 2008

Posts: 194

16 May 2008 16:23:21 IST

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i think we can find the force from

F=-(dU/dr)

then this F=ma

and the we find $\Omega$ and hence time period as the other one also said but on doing it i m not getting the ans

plz tell the full soln of it

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