A simplified model of a bicycle of mass M has two tyres that each comes into contact with the ground at a point The wheelbase of

Question

A simplified model of a bicycle of mass M has two tyres that each comes into contact with the ground at a point The wheelbase of this bicycle the distance between the points of contact with the ground is w and the center of mass of the bicycle is located midway between the tyres and at height h above the ground Air resistance is ignored W W Case 1 Assume that cycle is accelerating rightwards and the cyclist is pedalling without braking Both tyres roll purely 16 The direction of friction on the tyres is A Froward on both B Backward on both C Forward on front backward on rear D Forward on rear backward on front Case 2 The bicycle is moving to the right but slowing down at a constant rate The acceleration has a magnitude a A ssume that the coefficient of sliding friction between each tyre and the ground is u and that both tyres are skidding sliding without rotating Express your answer in terms of w h M and g 17 What is the maximum value of u so that both tyres remain in contact with the ground h 2h B Center of mass of bicyle W

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