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A uniform rod of length `b` can be balanced as shown in figure. The lower end of the rod is resting against a vertical wall. The coefficient of friction between the rod and the wall and that between the rod and the support at A is `mu`. Distance of support from the wall is `a`. (a) Find the ratio `(a)/(b)` if the maximum value of `theta` is `theta_(1)`. (b) Find the ratio `(a)/(b)` if the minimum value of `theta` is `theta_(2)`. |
Answer» Correct Answer - (a) `(a)/(b) = (1)/(2) sin^(2) theta_(1) [(1 - mu^(2)) sin theta_(1) - 2 mu cos theta_(1)]` (b) `(a)/(b) = (1)/(2) sin^(2) theta_(2) [(1 - mu^(2)) sin theta_(2) + 2 mu cos theta_(2)]` |
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