A rod of mass 'm and length L is attached to a L shaped plank at 'A'. rod can move freely about A. A string is tied between rod and plank as shown in figure. Whole system is moving with a constant acceleration g in x-direction

Force exerted by hinge on the rod is

Options

A. mg
B. mg/2
C. `(mgsqrt(5))/2`
D. `(5 mg)/4`

Explanation

`N_(2)=mg`
`N_(1)+T=mg`
`N_(1)=(mg)/2, N=sqrt(N_(1)^(2)+N_(2)^(2))=mg(sqrt(5))/2`