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One end of a uniform ℓ = 3.40-m-long rod of weight w is supported by a...

One end of a uniform ℓ = 3.40-m-long rod of weight w is supported by a cable at an angle of

θ = 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

μs = 0.540.

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.

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Ans : 2.26 m.

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