Problem $1$: $(7\%$ of Assignment Value$)$

Consider a rigid steel beam of length $L=12m$ and mass $m_b=412kg$ resting on two supports, one at each end. A worker of mass $m_w=64kg$ sits on the beam at a distance $x$ from support A$.$ Refer to the figure, though note that it is not drawn to scale.

Part $($a$)v$

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, $x,$ and $g.$

$F_B=\frac{m_b(g)(\frac{L}{2})+m_{w}gx}{L}$

$$ Correct!

Part $($b$)$

When the worker sits at a distance $x=4\mathrm{.}5m$ 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.

$F_B=$

$$

Grade Summary

Deductions

Potential

$0\%$

$100\%$