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1082 A boy riding at 12 ft/s around a curve finds that he must incline his bicycle at 530 with the horizontal to avoid tipping.

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1082 A boy riding at 12 ft/s around a curve finds that he must incline his bicycle at 530 with the horizontal to avoid tipping. The combined weight of boy and bicycle is 180 lb, and the combined CG is 4 ft high on the bicycle. (a) Draw a diagram showing all the forces on the bicycle and rider. What direction does he tend to tip (cl'wise or ccl'wise) if he inclines at angle greater than 530 . What causes him to tip ? What if he inclines at angle less than 530 ? 53 (b) Find the radius of the curve. (c) Find the friction force between road and wheel

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