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Let the radius of the arena be R. Let us and Hk denote the static and kinetic friction coefficients, respectively, between the tires and the wall. Finally, let m denote the mass of the bike (together with the rider) and g be the gravity. Assume that the bike does uniform circular motion on a perfectly horizontal plane. Note: The symbols u, and uk can be coded as mu_s and mu_k. (a) What is the minimum speed the bike should have so that it can do this motion? Umin (b) Suppose that the bike moves with a speed twice the minimum speed you have found in (a), i.e., v = 20min - What is the magnitude of the normal force, n for this case? n = (c) For the case in part (b): What is the magnitude of the friction force acting on the bike? Ffrie

Let the radius of the arena be R. Let us and Hk denote the static and kinetic friction coefficients, respectively, between the tires and the wall. Finally, let m denote the mass of the bike (together with the rider) and g be the gravity. Assume that the bike does uniform circular motion on a perfectly horizontal plane. Note: The symbols u, and uk can be coded as mu_s and mu_k. (a) What is the minimum speed the bike should have so that it can do this motion? Umin (b) Suppose that the bike moves with a speed twice the minimum speed you have found in (a), i.e., v = 20min - What is the magnitude of the normal force, n for this case? n = (c) For the case in part (b): What is the magnitude of the friction force acting on the bike? Ffrie

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Let the radius of the arena be R. Let Hs and uk denote the static and kinetic friction coefficients, respectively, between the tires and the wall. Finally, let m denote the mass of the bike (together with the rider) and g be the gravity. Assume that the bike does uniform circular motion on a perfectly horizontal plane. Note: The symbols µs and uk can be coded as mu_s and mu_k. (a) What is the minimum speed the bike should have so that it can do this motion? Umin (b) Suppose that the bike moves with a speed twice the minimum speed you have found in (a), i.e., v = 2vmin: What is the magnitude of the normal force, n for this case? n = (c) For the case in part (b): What is the magnitude of the friction force acting on the bike? Ffric %3D
Transcribed Image Text:Let the radius of the arena be R. Let Hs and uk denote the static and kinetic friction coefficients, respectively, between the tires and the wall. Finally, let m denote the mass of the bike (together with the rider) and g be the gravity. Assume that the bike does uniform circular motion on a perfectly horizontal plane. Note: The symbols µs and uk can be coded as mu_s and mu_k. (a) What is the minimum speed the bike should have so that it can do this motion? Umin (b) Suppose that the bike moves with a speed twice the minimum speed you have found in (a), i.e., v = 2vmin: What is the magnitude of the normal force, n for this case? n = (c) For the case in part (b): What is the magnitude of the friction force acting on the bike? Ffric %3D
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