5. A large plate is balanced at its center and two students of equal mass stand

Question

5.
A large plate is balanced at its center and two students of equal mass stand at its center. The plate is rotated on a frictionless pivot about an axis through its center and perpendicular to its face. The students then begin to walk out towards opposite edges.
(Select T-True, F-False, I-Increases, D-Decreases, S-Stays the same. ).

A) The students produce a net torque on the plate.
B) The total angular momentum of the system ... as the students walk outward.
C) The rate of rotation ... as the students walk outward.
D) The students do no work in walking outward.
E) When the students reach the edge and stop, the plate will have the same angular speed as when they started.

Explanation / Answer

(A) no net torque is produced . Hence -> F

(B) Angular momentum remains same as no external force is applied . Hence - > S

(C) Rate of rotation decreases as the total moment of intertia increases . Hence -> D

(D) True

(E) False . As the moment of inertia changes , in order to conseve angular momentum , the angular speed decreses .

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