A pendulum of mass m hangs from a support fixed to a trolley. The direction of the string when the trolley rolls up a plane of inclination `alpha` with acceleration `a_(0)` is

Explanation

`T sin theta=ma_(0)+mg sin alpha" ……………..(1)"`
`T cos theta=mg cos alpha" …………….(2)"`
`(1)/(2) rArr tan theta=(a_(0)+g sin alpha)/(g cos alpha)`
`theta =tan^(-1)[(a_(0)+g sin alpha)/(g cos alpha)]`