A uniformly charged non conducting rod is suspended vertically at its end. The rod can swing freely in the vertical plane without any friction. The linear charge density on the rod is `lamda C//m` and it has a uniformly distributed mass of M
Length of the rod is L. A uniform horizontal electrif field (E) is switched on in the region.
(a). For what value of electric field (call it `E_(0)`) the rod just manages to make itself horizontal.?
(b). If eletrif field `E_(0)` is switched on, what is the maximum angular speed acquired by the rod during its motion?

Answer

(a) `E_(0)=(Mg)/(lamdaL)`
(b) `omega=sqrt(3(sqrt(2)-1)(g)/(L))`