A rod sits at rest on the surface of a horizontal table, where the rod can slide

Question

A rod sits at rest on the surface of a horizontal table, where the rod can slide on the table with negligible friction. Each of the following scenarios involve multiple forces, each with the same magnitude, but different directions, acting on a rod as shown in the overhead views. The center of mass of the rod is marked by an X. The forces act either at the center of mass, at the ends, or half-way between the center of mass and the ends. For each, determine the direction of the net force; the direction of the net torque using the center of mass as the pivot point; and in what direction (clockwise/counter-clockwise/none) the rod begins to rotate about its center of mass. a. net force is: ward net torque is: out of page rotates: counter-clockwise b. net force is: net torque is rotates:

Explanation / Answer

b) Net force : downward

net torque: zero

rotates: no rotation

c) Net force : left up

net torque: out of page

rotates: counter clockwise

d) Net force : rightward

net torque: into the page

rotates: clockwise

e) Net force : upward

net torque: into the page

rotates: clockwise

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