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Unformatted text preview: rounded corner is arbitrarily small. Track C is a quarter circle of radius d . Find the time it takes for the mass to go from the top to the end of each of the three tracks. Hint : R π/ 2 (sin θ )-1 / 2 dθ ≈ 2 . 62206. 8. Extra Credit Question Please work on this question by yourself! Iceman (the X-Man, not Val Kilmer’s character from Top Gun) is able to slide without friction inside a hemispherical bowl of radius R . The bottom of the bowl is ﬂat and sits on the ground, and the bottom of the bowl has a coeﬃcient of friction of μ = 1 with the ground. Iceman drops into the top of the bowl from rest ( v (0) = 0), and then begins sliding around inside the bowl. Assuming that Iceman has a mass m and the bowl has a mass M , what is the maximum ratio of m/M such that the bowl never moves relative to the ground? R M = 1 M m...
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