Varignon theorem

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Derive Varignon theorem

1. Use Varignon's Theorem to find the moment that the force in the diagram below exerts about point B.

A 24-by-36-inch rectangle rests with its longer side horizontal. A 200-lb-magnitude force is applied up and to the left, making a 20-degree angle with the horizontal, on the rectangle's right upper corner, point A. The rectagnle's lower left corner is marked as point B. — Figure 3.2.3: problem diagram for Example 3.2.1. A lever is attached to a wall at one end, and 3 different forces are applied to the lever's free end, 0.5 m from the base's point of contact with the wall (point A).

A lever 0.5 meters long is attached to a wall at one end; the center of this region of contact is point A. Three forces are simaltaneously applied to the free end: one of magnitude 70 N upwards, one of magnitude 150 N to the right, and one of magnitude 300 N downwards and to the left, at a 30-degree angle from the vertical. — Figure 3.2.3: problem diagram for Example 3.2.1. A lever is attached to a wall at one end, and 3 different forces are applied to the lever's free end, 0.5 m from the base's point of contact with the wall (point A).

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