In the figure, a positively charged small sphere of mass m and the charge q starts sliding from rest on a vertical fixed circular smooth track of radius R from the position A shown. There exist a uniform magnetic field of B. Find the maximum force exerted by track on the sphere during its motion.

Question

Infinity Learn · Accepted Answer

Maximum force will be at lowest point.Magnetic force will not do any work.Velocity at lowest point: $$v=2gRN$$−mg−$$qvB=mac$$  ⇒  $$N=mg+mv2R$$  $$+qBv$$⇒   $$N=3$$ mg  $$+$$  qB  $$2gR$$

In the figure, a positively charged small sphere of mass m and the charge q starts sliding from rest on a vertical fixed circular smooth track of radius R from the position A shown. There exist a uniform magnetic field of B. Find the maximum force exerted by track on the sphere during its motion.

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