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AP Physics C: Mechanics
6.5 Rolling
6.1 Rotational Kinetic Energy
IntermediateMCQMathematical25.6k
A Cartesian coordinate graph showing angular velocity \(\omega\) in radians per second on the vertical axis versus time \(t\) in seconds on the horizontal axis. The horizontal axis is labeled \(t\text{ (s)}\) with major tick marks and gridlines at integer intervals from \(0\) to \(5.0\). The vertical axis is labeled \(\omega\text{ (rad/s)}\) with major tick marks and gridlines at increments of \(2.0\) from \(0\) to \(12.0\). Thin gray gridlines form a coordinate grid across the entire plotting region. A single solid black line begins at the vertical intercept \((0, 10.0)\) and decreases linearly with constant negative slope, passing through the grid intersections \((1.0, 8.0)\), \((2.0, 6.0)\), \((3.0, 4.0)\), \((4.0, 2.0)\), and terminating at \((5.0, 0)\) on the horizontal axis. No other labels, lines, text, or axes appear.
Angular velocity versus time for the rolling disk.
A uniform solid disk of mass \(M = 4.0\text{ kg}\) and radius \(R = 0.50\text{ m}\) rolls without slipping up an incline. The graph shows the disk's instantaneous angular velocity \(\omega\) as a function of time \(t\). Between \(t = 0\text{ s}\) and \(t = 2.0\text{ s}\), what is the net work done on the disk?

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