A circus acrobat rides a bicycle inside a sphere. After reaching sufficient speed, he travels in a vertical circle with a radius of r = 14 m. The mass of the acrobat is m = 79.8 kg, and his bicycle has mass M = 37.3 kg. At the bottom of the circle, his speed is, twice the minimum speed he must have at the top of the circle if the tires of the bicycle are not to lose contact with the sphere. What is the magnitude of the normal force (in units of N) exerted on the bicycle by the sphere at the bottom point? Answer:
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First, we need to find the minimum speed at the top of the circle for the tires not to lose contact with the sphere. At the top of the circle, the gravitational force and the centripetal force must be equal for the tires to maintain contact with the sphere. The Show more…
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