One end of a meter stick is pinned to a table, so the stick can rotate freely in

Question

One end of a meter stick is pinned to a table, so the stick can rotate freely in a plane parallel to the tabletop. Two forces, both parallel to the tabletop, are applied to the stick in such a way that the net torque is zero. The first force has a magnitude of 2.00 N and is applied perpendicular to the length of the stick at the free end. The second force has a magnitude of 6.00 N and acts at a 21.2o angle with respect to the length of the stick. Where along the stick is the 6.00-N force applied? Express this distance with respect to the end of the stick that is pinned.

Explanation / Answer

F1 = 2 N

L = length = 1 m

F2 = 6 N

d = distance of the point at which F2 acts

F1 L Sin90 = F2 d Sin21.2

2 (1) = 6 d Sin21.2

d = 0.92 m

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