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AP Physics C: Mechanics
5.6 Newton’s Second Law in Rotational Form
5.1 Rotational Kinematics
AdvancedMCQMathematicalConceptual17.1k
A two-dimensional Cartesian graph with a horizontal axis labeled t and a vertical axis labeled \tau. The horizontal axis has tick marks labeled 0, T, and 2T. The vertical axis has tick marks labeled \tau_0 above the horizontal axis and -\tau_0 below the horizontal axis. A single, solid straight line begins at the point (0, \tau_0) on the vertical axis, extends downward and to the right with a constant negative slope, crosses the horizontal axis at (T, 0), and terminates at the point (2T, -\tau_0). Dashed reference lines extend horizontally from -\tau_0 to (2T, -\tau_0) and vertically from 2T to (2T, -\tau_0). No other labels, lines, text, or gridlines appear.
Net torque \(\tau\) as a function of time \(t\) applied to the flywheel.
A flywheel with rotational inertia \(I\) is mounted on a fixed, frictionless axle and is initially at rest at time \(t = 0\). A net external torque \(\tau\) is applied to the flywheel about the axle, varying with time \(t\) as shown in the graph. The torque decreases linearly from \(\tau_0\) at \(t = 0\), crosses zero at \(t = T\), and reaches \(-\tau_0\) at \(t = 2T\). Which of the following statements correctly identifies the maximum angular velocity of the flywheel and characterizes its subsequent rotational motion?

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