When forces `F_(1)` , `F_(2)` , `F_(3)` are acting on a particle of mass m such that `F_(2)` and `F_(3)` are mutually prependicular, then the particle remains stationary. If the force `F_(1)` is now rejmoved then the acceleration of the particle is

Options

A. `F_(1)//m`
B. `F_(2)F_(3)//mF_(1)`
C. `(F_(2)-F_(3))//m`
D. `F_(2)//m`

Answer

A

Explanation

Three forces are in equilibrium
(##CPS_V01_C06_S01_130_S02##)
`F_(1)=sqrt(F_(2)^(2)+F_(3)^(2)=ma`
`F_(1)marArra=F_(1)//m`