A pendulum is hanging from the ceiling of a car having an acceleration `a_(0)` with respect to the road. Find the angle made by the string with vertical at equilibrium. Also find the tension in the sting in this position

Explanation

(A) `T sin theta = ma_(0) " "` ……(i)
`T cos theta = mg " "` ……(ii)
`therefore tan theta = (a_(0))/(g)`
`therefore` the string is making an angle
`tan^(-1)((a_(0))/(g))` with vertical at equilibrium
(B) squaring and adding (i) and (ii)
`T^(2)sin theta +T^(2)cos theta =m^(2)(a_(0)^(2)+g^(2))`
`T=m sqrt(a_(0)^(2)+g^(2))`