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One end of a uniform, 4-m-long rod of weight, W, is supported by a string. The other end is resting against the wall where it is held by friction as shown in Figure 6. The coefficient of static friction between the wall and the rod is μs = 0.5. Determine the distance of the nearest point from A at which an additional weight W can be hung without the rod slipping from A.

One end of a uniform, 4-m-long rod of weight, W, is supported by a string. The other end is resting against the wall where it is held by friction as shown in Figure 6. The coefficient of static friction between the wall and the rod is μs = 0.5. Determine the distance of the nearest point from A at which an additional weight W can be hung without the rod slipping from A.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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One end of a uniform, 4-m-long rod of weight, W, is supported by a string. The other end is resting against the wall where it is held by friction as shown in Figure 6. The coefficient of static friction between the wall and the rod is μs = 0.5.

Determine the distance of the nearest point from A at which an additional weight W can be hung without the rod slipping from A.

**Figure 6 Description:** The diagram shows a right-angled triangle, with a horizontal surface between points A and B. The vertical side of the triangle (line segment A) is depicted against a wall. The horizontal side (line segment AB) extends from the wall at A to B, with point A on the left and point B on the right. Above the horizontal surface, there is an angle labeled as \(37^\circ\). This angle is formed between the hypotenuse (the diagonal line slanting upwards from point B to the wall) and the horizontal surface \(AB\). A weight, symbolized by a circle containing the letter "W," is hanging from the horizontal surface. It is suspended by a line perpendicular to the horizontal surface at a distance \(x\) from the wall. Key elements: - Right-angled triangle with one angle specified as \(37^\circ\). - Horizontal surface AB, with a weight \(W\) hanging from it. - Dimension \(x\), indicating the horizontal distance from the wall to the point where the weight is attached. This configuration illustrates a basic mechanical scenario involving forces and angles, useful for discussions on physics topics such as equilibrium or torque.
Transcribed Image Text:**Figure 6 Description:** The diagram shows a right-angled triangle, with a horizontal surface between points A and B. The vertical side of the triangle (line segment A) is depicted against a wall. The horizontal side (line segment AB) extends from the wall at A to B, with point A on the left and point B on the right. Above the horizontal surface, there is an angle labeled as \(37^\circ\). This angle is formed between the hypotenuse (the diagonal line slanting upwards from point B to the wall) and the horizontal surface \(AB\). A weight, symbolized by a circle containing the letter "W," is hanging from the horizontal surface. It is suspended by a line perpendicular to the horizontal surface at a distance \(x\) from the wall. Key elements: - Right-angled triangle with one angle specified as \(37^\circ\). - Horizontal surface AB, with a weight \(W\) hanging from it. - Dimension \(x\), indicating the horizontal distance from the wall to the point where the weight is attached. This configuration illustrates a basic mechanical scenario involving forces and angles, useful for discussions on physics topics such as equilibrium or torque.
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