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AP Physics C: Mechanics
5.5 Rotational Equilibrium and Newton’s First Law in Rotational Form
5.3 Torque
IntermediateMCQMathematicalConceptual25.6k
A Cartesian graph with a horizontal axis labeled x (m) and a vertical axis labeled F_H (N). The horizontal axis ranges from 0 to 2.0 with labeled major tick marks and light gridlines at 0, 0.5, 1.0, 1.5, and 2.0. The vertical axis ranges from 0 to 60 with labeled major tick marks and light gridlines at 0, 10, 20, 30, 40, 50, and 60. A single solid straight line starts at the vertical axis intercept at (0, 20) and extends with a constant positive slope upward to the point (2.0, 50). Five solid circular data points are plotted along the line at (0, 20), (0.5, 27.5), (1.0, 35), (1.5, 42.5), and (2.0, 50). No other labels, lines, text, or axes appear.
Graph of vertical hinge force F_H versus suspended load position x.
A uniform horizontal crossbar of length \(L = 2.0\text{ m}\) is supported by a vertical cable attached to its left end and a frictionless hinge attached to a vertical wall at its right end. A load of mass \(m\) is suspended from the crossbar at a variable distance \(x\) from the left end. A sensor at the hinge measures the vertical force \(F_H\) exerted by the hinge as a function of \(x\), resulting in the graph shown. What is the mass of the crossbar? (Use \(g = 10\text{ m/s}^2\).)

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