A Massless Meter Stick on a Horizontal Frictionless Table Top

Multiple Choice

A massless meter stick on a horizontal frictionless table top is pivoted at the 80-cm mark. A force is applied perpendicularly to the end of the stick at 0 cm, as shown. A second force (not shown) is applied perpendicularly at the 60-cm mark. The forces are in the plane of the table top. If the stick does not move, the force exerted by the pivot on the stick:

A) must be zero
B) must be in the same direction as and have magnitude
C) must be directed opposite to and have magnitude
D) must not be in the same direction as and have magnitude
E) must not be directed opposite to and have magnitude