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Cool goIITian

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13 Oct 2009 13:53:42 IST

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a ball of raduis r is made to oscilate wid small oscilaltions on a hemisphere of radius R....find th

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a ball of raduis r is made to oscilate wid small oscilaltions on a hemisphere of radius R....find the time period!!

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bhuvesh

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13 Oct 2009 14:45:32 IST

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It will act like a simple pendulum whose bob is the ball and the point of suspension of the ball is the centre of the hemisphere...so the length of pendulum becomes R-r and hence time period is 2*pi*((R-r)/g)^1/2

adi

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13 Oct 2009 15:58:19 IST

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adi

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13 Oct 2009 15:59:06 IST

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Rohit Agarwal

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13 Oct 2009 18:40:43 IST

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PPL QUIT THIS SITE N VISIT TARGETIIT.COM!!!!ITS MUCH BETTER!!!

VARUN RAJ

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13 Oct 2009 19:03:39 IST

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actually theres a much simpler way to solve this sum

let the sphere be at angle @ form the vewrticla

then mgsin@-f=ma

and fr=Ia

solving it we get a as 5gsin@/7

now sin@=x/(r-R)

5gx/7(R-r)=w^2x

so we know w

nice and easy method (sorry dudes for being inactive boradband offf)

ronakgupta

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13 Oct 2009 19:31:38 IST

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write the equation torque=moment of inertia*angular acceleration

then find ratio of theeta/alpha.

note that theeta is small therefore sine a =a.

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