JEE Advanced Model Paper 4 with solutions for online practice

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A simplified model of a bicycle of mass M has two tires that each comes into contact with the ground at a point. The wheel base of this bicycle is W, and the centre of mass C of the bicycle is located midway between the tires and a height h above the ground. The bicycle is moving to the right, but slowing down at a constant acceleration a. Air resistance may be ignored. Assuming that the coefficient of sliding friction between each tyre and the ground is µ and that both tyres are skidding (slidingwithout rotating). Express your answer in terms of W, h, M and g. (The bicycle is in balanced condition)
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Question : 18
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