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AP Physics 1
5.5 Rotational Equilibrium and Newton’s First Law in Rotational Form
5.3 Torque
2.7 Kinetic and Static Friction
2.5 Newton’s Second Law
2.2 Forces and Free-Body Diagrams
Multi-Unit
AdvancedFRQDrawing RepresentationsMathematical15.1k
Figure 1. Left: hinged post with cable and force at top. Right: post resting on ground with cable at top.
Figure 1. Left: hinged post with cable and force at top. Right: post resting on ground with cable at top.
Assume the posts in the two figures are the same and they have a mass of \(24\,\text{kg}\) and a length \(L\). Both posts are held vertical by cables attached to the ground and making an angle of \(36.9^\circ\) with the ground and with the pole, respectively. Both posts are pulled by horizontal forces \(F\). The post on the left is hinged at its lower end and the cable is attached at \(3/5\) of the post height from the ground. The post on the right rests on a horizontal surface with a static coefficient of friction \(0.3\) and the force is applied at \(3/5\) of the height from the ground.

Note: \(\sin 36.9 = 0.6 = 3/5\); \(\cos 36.9 = 0.8\).

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