One end of a uniform = 4.10-m-long rod of weight w is supported by a cable at an angle of 8 = 37° with the rod. The other end rests against a wall, where it is held by friction (see figure). The coefficient of static friction between the wall and the rod is μ = 0.460. Determine the minimum distance x from point A at which an additional weight w (the same as the weight of the rod) can be hung without causing the rod to slip at point A. 2.8418 x Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m 0 B

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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One end of a uniform \(\ell = 4.10\)-m-long rod of weight \(w\) is supported by a cable at an angle of \(\theta = 37^\circ\) with the rod. The other end rests against a wall, where it is held by friction (see figure). The coefficient of static friction between the wall and the rod is \(\mu_s = 0.460\). Determine the minimum distance \(x\) from point \(A\) at which an additional weight \(w\) (the same as the weight of the rod) can be hung without causing the rod to slip at point \(A\).

\(x_s = 2.8418\) m

Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error.

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**Diagram Explanation:**

The diagram shows a rod AB leaning against a vertical wall. The rod is supported by a cable attached to the wall above point A, making an angle \(\theta\) with the rod. The angle between the rod and the horizontal is marked \(\theta\). A weight \(w\) is shown hanging from a point on the rod a distance \(x\) from point A.
Transcribed Image Text:One end of a uniform \(\ell = 4.10\)-m-long rod of weight \(w\) is supported by a cable at an angle of \(\theta = 37^\circ\) with the rod. The other end rests against a wall, where it is held by friction (see figure). The coefficient of static friction between the wall and the rod is \(\mu_s = 0.460\). Determine the minimum distance \(x\) from point \(A\) at which an additional weight \(w\) (the same as the weight of the rod) can be hung without causing the rod to slip at point \(A\). \(x_s = 2.8418\) m Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. --- **Diagram Explanation:** The diagram shows a rod AB leaning against a vertical wall. The rod is supported by a cable attached to the wall above point A, making an angle \(\theta\) with the rod. The angle between the rod and the horizontal is marked \(\theta\). A weight \(w\) is shown hanging from a point on the rod a distance \(x\) from point A.
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