The drawing shows a rectangular piece of wood. The forces applied to corners B and D have the same magnitude of 10 N and are directed parallel to the long and short sides of the rectangle. The long side of the rectangle is twice as long as the short side. An axis of rotation is shown perpendicular to the plane of the rectangle at its center. A third force (not shown in the drawing) is applied to corner A, directed along the short side of the rectangle (either toward B or away from B), such that the piece of wood is at equilibrium. Find the magnitude and direction of the force applied to corner A.

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Chapter1: Units, Trigonometry. And Vectors
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The drawing shows a rectangular piece of wood. The forces applied to corners B and D have the same magnitude of 10 N and are directed parallel to the long and short sides of the rectangle. The long side of the rectangle is twice as long as the short side. An axis of rotation is shown perpendicular to the plane of the rectangle at its center. A third force (not shown in the drawing) is applied to corner A, directed along the short side of the rectangle (either toward B or away from B), such that the piece of wood is at equilibrium. Find the magnitude and direction of the force applied to corner A.

 

The image depicts a rectangle labeled ABCD, with a central point marked as "Axis." There are two forces shown, both labeled \(\vec{F}\):

1. A force \(\vec{F}\) is applied at point B on the left side of the rectangle, directed to the right.
2. Another force \(\vec{F}\) is applied at point D on the top right side of the rectangle, directed downward.

These forces likely demonstrate the concept of torque or rotational motion about the central axis. The positioning and direction of the forces suggest they might induce a rotational effect on the rectangle around the marked axis. The arrows indicating force direction are represented in blue.
Transcribed Image Text:The image depicts a rectangle labeled ABCD, with a central point marked as "Axis." There are two forces shown, both labeled \(\vec{F}\): 1. A force \(\vec{F}\) is applied at point B on the left side of the rectangle, directed to the right. 2. Another force \(\vec{F}\) is applied at point D on the top right side of the rectangle, directed downward. These forces likely demonstrate the concept of torque or rotational motion about the central axis. The positioning and direction of the forces suggest they might induce a rotational effect on the rectangle around the marked axis. The arrows indicating force direction are represented in blue.
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