(Solved): (13\%) Problem 7: The free-body diagram shows the all of the forces acting on an object of mass \( ...

(13\%) Problem 7: The free-body diagram shows the all of the forces acting on an object of mass \( m=7.25 \mathrm{~kg} \). The three forces have magnitudes \( F_{1}=14.7 \mathrm{~N}, F_{2}=20.8 \mathrm{~N} \), and \( F_{3}=15.3 \mathrm{~N} \), with directions as indicted in the diagram, where \( \theta=35.2 \) degrees. \( 25 \% \) Part (a) Write an expression for the \( \mathrm{x} \)-component of the acceleration in terms of the sym \( a_{\mathrm{x}}=\left(\mathrm{F}_{2} \sin (\theta)-\mathrm{F}_{3} \sin (\theta)\right) / \mathrm{m} \quad \checkmark \) Correct! 25\% Part (b) Write an expression for the \( y \)-component of the acceleration in terms of the sym1 \( a_{\mathrm{y}}=\left(F_{2} \cos (\theta)+F_{3} \cos (\theta)-F_{1}\right) / m \quad \checkmark \) Correct!