A) \[{{F}_{1}}/m\]
B) \[{{F}_{2}}{{F}_{3}}/m{{F}_{1}}\]
C) \[({{F}_{2}}-{{F}_{3}})/m\]
D) \[{{F}_{2}}/m\]
Correct Answer: A
Solution :
For equilibrium of system, \[{{F}_{1}}=\sqrt{F_{2}^{2}+F_{3}^{2}}\] As \[\theta =90{}^\circ \] In the absence of force \[{{F}_{1}}\], Acceleration\[=\frac{\text{Net force}}{\text{Mass}}\] \[=\frac{\sqrt{F_{2}^{2}+F_{3}^{2}}}{m}=\frac{{{F}_{1}}}{m}\]
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