Problem 4: A 20-N horizontal force is applied perpendicular to the handle of the socket wrench. Determine the magnitude and the coordinate direction angles of the moment created by this force about point O. What is the moment about the z-axis?

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**Problem 4:** A 20-N horizontal force is applied perpendicular to the handle of the socket wrench. Determine the magnitude and the coordinate direction angles of the moment created by this force about point \(O\). What is the moment about the z-axis?

**Diagram Explanation:**

The diagram illustrates a socket wrench with the following components:

- The wrench handle extends horizontally and is acted upon by a 20-N force at point \(A\).
- The force is applied at a 15° angle relative to the y-axis.
- The distance from point \(O\) (the base of the wrench) to the point where the force is applied along the x-axis is 200 mm.
- The vertical distance from point \(O\) is 75 mm, corresponding to the z-axis.
- The image shows a three-dimensional coordinate system with x, y, and z axes denoted, where point \(O\) is the origin.

The task involves calculating the magnitude of the moment and determining its direction angles about point \(O\), as well as specifically finding the moment about the z-axis.
Transcribed Image Text:**Problem 4:** A 20-N horizontal force is applied perpendicular to the handle of the socket wrench. Determine the magnitude and the coordinate direction angles of the moment created by this force about point \(O\). What is the moment about the z-axis? **Diagram Explanation:** The diagram illustrates a socket wrench with the following components: - The wrench handle extends horizontally and is acted upon by a 20-N force at point \(A\). - The force is applied at a 15° angle relative to the y-axis. - The distance from point \(O\) (the base of the wrench) to the point where the force is applied along the x-axis is 200 mm. - The vertical distance from point \(O\) is 75 mm, corresponding to the z-axis. - The image shows a three-dimensional coordinate system with x, y, and z axes denoted, where point \(O\) is the origin. The task involves calculating the magnitude of the moment and determining its direction angles about point \(O\), as well as specifically finding the moment about the z-axis.
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