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In the figure , a charged sphere of mass...

In the figure , a charged sphere of mass m and change q starts sliding from rest on a vertical fixed circular track of radius R from the position shown. There exists a uniform and constant horizontal magnetic field of induction B. The maximum force exerted by the track on the sphere is -

Text Solution

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`F_m` = qVB (directed radially outward)
N- mg `sin theta - qvB = (mV^2)/(R)`
`N = (mv^2)/R + mg sin theta + qVB`
`theta = (pi)/(2),`N is maximum.
`N = m/R (2gR) + mg + qB sqrt(2gR)`
`N= 3 mg + qB sqrt(2gR)`
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