A thin insulating rod of mass m and length L is hinged at its upper end (O) so that it can freely rotate in vertical plane. The linear charge density on the rod varies with distance (y) measured from upper end as {:(lamda=ay^(2),0 le y le (L)/(2)),(=-by^(n),(L)/(2)ltyleL):}} Where a and b both are positive constants. whenahorizontal electric field E is switched on the rod is found to remains stationary. (a). find the value of constant b in terms of a. Also find n. (b). Find the force applied by the hinge on the rod, if EaL^(3)=45mg.

A thin insulating rod of mass m and length L is hinged at its upper en

1.	A thin insulating rod of mass m and length L is hinged at its upper end (O) so that it can freely rotate in vertical plane. The linear charge density on the rod varies with distance (y) measured from upper end as {:(lamda=ay^(2),0 le y le (L)/(2)),(=-by^(n),(L)/(2)ltyleL):}} Where a and b both are positive constants. whenahorizontal electric field E is switched on the rod is found to remains stationary. (a). find the value of constant b in terms of a. Also find n. (b). Find the force applied by the hinge on the rod, if EaL^(3)=45mg.
Answer» Answer :(a) `B=(a)/(15);n=2` (b). `SQRT(2)MG`

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