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.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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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.
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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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