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AP Physics C: Mechanics
6.2 Torque and Work
6.1 Rotational Kinetic Energy
IntermediateMCQGraphicalMathematicalConceptual24.3k
Rotating disk with resistive torque applied at the rim.
Rotating disk with resistive torque applied at the rim.
A uniform disk is initially rotating with rotational kinetic energy \(K_0\) about a fixed, frictionless axis through its center. Starting at angular displacement \(\theta = 0\), a braking mechanism applies a resistive torque of magnitude \(\tau(\theta) = c\theta\) to the disk, where \(c\) is a positive constant and \(\theta\) is the angular displacement of the disk after the brake is engaged. Which of the following graphs best represents the rotational kinetic energy \(K\) of the disk as a function of \(\theta\) until the disk momentarily comes to rest at \(\theta_f\)?

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