(Solved): Please show what equation to use to solve part c. Thank you. Static Equilibrium Example - Consider ...

Static Equilibrium Example - Consider a rigid steel beam of length $L=10.5\mathrm{m}$ and mass $m_{\mathrm{b}}=375\mathrm{kg}$ resting on two supports, one at each end. A worker of mass $m_{\mathrm{w}}=61\mathrm{kg}$ sits on the beam at a distance $x$ from support A. Refer to the figure. A. Enter an expression for the force support B must exert on the beam in order for it to remain at rest, in terms of defined quantities and $g$. A. $F_B=g\left(\frac{x{m}_w}{L}+\frac{m_b}{2}\right)$ B. When the worker sits at a distance $x=1.5\mathrm{m}$ from support A, calculate the force, in newtons, that support B must exert on the beam in order for it to remain at rest. Use $g$ with three significant figures. B. ${\mathrm{F}}_{\mathrm{B}}=1,924.862\mathrm{N}$ C. The force exerted on the beam by support $\mathrm{A}$ is measured and found to be $F_{\mathrm{A}}=2100\mathrm{N}$. At what distance $x$, in meters, from support $\mathrm{A}$ is the worker sitting now? B. $x=5.927\mathrm{m}$