(Solved): For the beam and loading shown, placing the origin at point \( A \), determine: 8. the free body d ...

For the beam and loading shown, placing the origin at point \( A \), determine: 8. the free body diagram (FBD), 9. the magnitude and direction of the reaction force \( A_{y}(\mathrm{lb}) \), 10. the magnitude and direction of the reaction force \( \mathrm{B}_{\mathrm{y}}(\mathrm{kip}) \), 11. the equation for the internal shear force \( (\mathrm{lb}) \) as a function of \( \mathrm{x} \), \( V(x) \), for: \( 0 \mathrm{ft} \leq x \leq 12 \mathrm{ft} \). 12. the equation for the internal moment (lb-ft) as a function of \( \mathrm{x} \), \( \boldsymbol{M}(\boldsymbol{x}) \), for: \( 0 \mathrm{ft} \leq \boldsymbol{x} \leq 12 \mathrm{ft} . \)