Exam 2B (2016).pdf

# We can then set up two newtons second law equations

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are vertical, so our second axis will be vertical. We can then set up two Newton’s Second Law equations along these axes: X F 1 x : f s = ma r = mv 2 max R X F 1 y : F N - mg = 0 From the y equation, we see that F N = mg . In this case, we are looking for the minimum value of μ s , so f s will be at its maximum value, f s = μ s F N . Combining these results with our x equation, we have f s = μ s F N = mv 2 max R = ) μ s mg = mv 2 max R = ) μ s g = v 2 max R You can plug in numbers at this point, but if you recall from part (a) that v 2 max /R = 0 . 360 g , we now have μ s g = 0 . 360 g = ) μ s = 0 . 360 Copyright c 2016 University of Georgia. 8
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