Set up appropriate systems of two linear equations and solve the systems algebraically. All data are accurate to at least two significant digits.

The torque of a force is the product of the force and the perpendicular distance from a specified point. If a lever is supported at only one point and is in balance, the sum of the torques (about the support) of forces acting on one side of the support must equal the sum of the torques of the forces acting on the other side. Find the forces F1 and F2 that are in the positions shown in Fig. 5.30(a) and then move to the positions in Fig. 5.30(b). The lever weighs 20 N and is in balance in each case.

Transcribed Image Text:

Fig. 5.30 (a) (b) F₁ 3m F₁ 2m 1 m +-++- 20 N 1 m ·*|-|- 20 N 4 m 2m F₂ F₂