Three forces , , are acting on a particle of mass 5 kg. The forces and are applied such that the particle remains at rest. If the force is removed, then the acceleration of the particle is [2023]

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Solution

Q.
Three forces $F_{1} = 10 N$ , $F_{2} = 8 N$ , $F_{3} = 6 N$ are acting on a particle of mass 5 kg. The forces $F_{2}$ and $F_{3}$ are applied perpendicular so that the particle remains at rest. If the force $F_{1}$ is removed, then the acceleration of the particle is [2023]

1 $2 {m s}^{- 2}$

2 $0.5 {m s}^{- 2}$

3 $4.8 {m s}^{- 2}$

4 ${7 m s}^{- 2}$

Ans.
(1)

$Resultant of {\vec{F}}_{2} and {\vec{F}}_{3} should be opposite to {\vec{F}}_{1}$

$a = \frac{10}{5} = 2 {m/s}^{2}$

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