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AP Physics 1
5.5 Rotational Equilibrium and Newton’s First Law in Rotational Form
5.3 Torque
AdvancedMCQMathematicalConceptual15.6k
Schematic diagrams of the beam support setups in Case 1 and Case 2.
Schematic diagrams of the beam support setups in Case 1 and Case 2.
A uniform horizontal beam of mass \(M\) and length \(L\) is attached to a vertical wall by a frictionless hinge at its left end. In Case 1, the right end of the beam is supported by a light cable attached to the wall at an angle \(\theta\) above the beam. In Case 2, an identical beam is supported at its right end by a rigid, light strut attached to the wall at the same angle \(\theta\) below the beam.

Which row in the table correctly compares the magnitude of the support force exerted on the right end of the beam, the magnitude of the total force exerted by the hinge on the beam, and the direction of the horizontal component of the force exerted by the hinge on the beam in Case 2 relative to Case 1?

Support Force Magnitude in Case 2Total Hinge Force Magnitude in Case 2Direction of Horizontal Hinge Force in Case 2
(A)Greater than in Case 1Greater than in Case 1Away from the wall
(B)Equal to Case 1Equal to Case 1Toward the wall
(C)Equal to Case 1Less than in Case 1Away from the wall
(D)Less than in Case 1Equal to Case 1Toward the wall

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