A motorcyclist in a circus rides his motorcycle within the confines of the hollow sphere. The coefficient of static friction between the wheels of the motorcycle and the sphere is μ = 0.5. The mass of the motorcycle and rider is 250 kg, and the radius of curvature to the center of gravity is ρ = 20 m. Neglect the size of the motorcycle for the calculation. (a) Determine the minimum speed at which he must travel if he is to ride along the wall when θ = 90∘. Express your answer to three significant figures and include the appropriate units.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter7: Dry Friction
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Problem 7.3P: Two identical chairs, each weighing 14 lb, are stacked as shown. The center of gravity of each chair...
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A motorcyclist in a circus rides his motorcycle within the confines of the hollow sphere. The coefficient of static friction between the wheels of the motorcycle and the sphere is μ = 0.5. The mass of the motorcycle and rider is 250 kg, and the radius of curvature to the center of gravity is ρ = 20 m. Neglect the size of the motorcycle for the calculation.

(a) Determine the minimum speed at which he must travel if he is to ride along the wall when θ = 90∘.
Express your answer to three significant figures and include the appropriate units.
Expert Solution
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Answer:

The minimum speed at which he must travel if he is to ride along the wall when θ = 90° is 19.8090 m/s.

 

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