When the trolley show in figure is given a horizontal acceleration `a`, the pendulem bob of mass `m` gets deflected to a maximum deflection , the net acceleration of the bob with respect to trolley is

Options

A. `sqrt(g^(2) + a^(2))`
B. `a cos theta`
C. `g sin theta - a cos theta`
D. `a sin theta`

Answer

C

Explanation

With respect to trolley means , assume trolley at rest and apply a pseudo force `(= ma`, towards left) on the bob

`a_("net") = (mg sin theta - ma cos theta)/(m)`
`= g sin theta - a cos theta`