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AP Physics C: Mechanics
5.5 Rotational Equilibrium and Newton’s First Law in Rotational Form
5.3 Torque
IntermediateMCQMathematicalConceptual18.3k
Non-uniform plank supported by two sawhorses at its ends.
Non-uniform plank supported by two sawhorses at its ends.
A non-uniform horizontal plank of mass \(M\) and length \(L\) has its center of mass located at a distance \(\dfrac{L}{3}\) from its left end. The plank rests horizontally on two vertical sawhorses: Sawhorse 1 at \(x = 0\) and Sawhorse 2 at \(x = L\). A point load of mass \(M\) is placed on the plank at position \(x\).

\(F_{N,1}\) (Load at \(x = \dfrac{2}{3}L\))\(F_{N,2}\) (Load at \(x = \dfrac{2}{3}L\))\(F_{N,1}\) (Load at \(x = L\))
Row A\(\dfrac{5}{6}Mg\)\(\dfrac{7}{6}Mg\)\(\dfrac{1}{2}Mg\)
Row B\(\dfrac{4}{3}Mg\)\(\dfrac{2}{3}Mg\)\(\dfrac{5}{3}Mg\)
Row C\(Mg\)\(Mg\)\(\dfrac{2}{3}Mg\)
Row D\(\dfrac{1}{3}Mg\)\(\dfrac{2}{3}Mg\)\(0\)

Which row in the table correctly identifies the upward normal forces \(F_{N,1}\) and \(F_{N,2}\) exerted by the sawhorses for the given load positions?

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