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An electric bulb suspended from the roof...

An electric bulb suspended from the roof of a railway train by a flexible wire shifts through an angle of `19^(@) 48` when the train goes horizontally round a curved path of `200m` radius Find the speed of the train .

Text Solution

Verified by Experts

The correct Answer is:
28
Various forces acting on the bulb are shown in figure. Resolving the forces along the length and perpendicular to the wire, we get
`mg sin theta=(mv^(2))/(r).costheta`

`tan theta=(v^(2))/(rg)`
`v=sqrt(rg tan theta)=sqrt(200xx9.8xxtan19^(@)48.)`
`=sqrt(200xx9.8xx0.3600)=sqrt(7.5.6)`
`=2656ms^(-1)`
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