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AP Physics 1
6.4 Conservation of Angular Momentum
6.3 Angular Momentum and Angular Impulse
AdvancedMCQMathematicalConceptual22.3k
A top-down schematic view of a horizontal surface. A thin vertical rectangular bar of length \(L\) and mass \(M\) is depicted. At the top end of the bar, a small solid black circle labeled \(P\) indicates a fixed vertical pivot. Near the middle of the bar, a curved arrow pointing clockwise is labeled \(\omega_0\). At the bottom end of the bar, a small solid circle representing a projectile of mass \(m\) is positioned just to the left of the bar, with a horizontal arrow pointing to the right toward the bar labeled \(v_0\). A vertical dimension line next to the bar is labeled \(L\). No other labels, lines, text, or axes appear.
Top-down view of the rotating rod and incoming projectile.
A uniform thin rod of length \(L\) and mass \(M\) lies on a frictionless horizontal tabletop and is constrained to rotate about a fixed vertical axle through pivot \(P\) at one end. The rotational inertia of the rod about the pivot is \(I = \dfrac{1}{3}ML^2\). The rod is initially rotating clockwise with angular speed \(\omega_0\). A small projectile of mass \(m = M\) sliding on the tabletop with speed \(v_0 = \omega_0 L\) perpendicular to the rod strikes the free end of the rod and embeds itself into the rod.

Which row in the table correctly identifies the direction of the final angular velocity of the rod-projectile system immediately after the collision and the net external torque exerted on the rod-projectile system about the pivot during the collision?

Direction of Final Angular VelocityNet External Torque About Pivot
(A)ClockwiseNonzero
(B)ClockwiseZero
(C)CounterclockwiseNonzero
(D)CounterclockwiseZero

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