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A charged sphere of mass m and charge q starts siliding from rest on circular track of radius R from the position shown in the figure. There exists a uniform and constant horizontal magnetic field of induction B . Find the maximum force exerted by the track on the sphere. |
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Answer» SOLUTION :`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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