Write out your solution to the problem shown, and upload pics of your work. Be sure to show work and/or explain your answer for each part!
Setup
300 mm
200 mm
400 mm
200 mm
1) Express the location of the table's gravity force (measured from B) as a function of the links' $\theta$.
Table: $y_g(\theta) = $
2) Express the TOTAL virtual work done by gravity as a function of $\theta$ and $\delta\theta$.
$\Sigma\delta U_g = $
3) Express the virtual work done by the springs as a function of $\theta$ and $\delta\theta$.
$\Sigma\delta U_{sp} = $
A 6.0 kg bowl sits on top of a 10.0 kg table. The table is supported by a pair of identical links and a horizontal spring (k = 392 N/m ), on each side, as shown above. Assume the springs are unstretched when $\theta = 90^\circ$, and the links and springs have negligible mass.
Note: use CW for the $+\theta$-direction as shown.
4) Find the two equilibrium angles of the system.
$\theta_{eq,1} = $
$\theta_{eq,2} = $
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B I U A
