Q. A simplified model of a bicycle of mass has two tires that each comes into contact with the ground at a point. The wheel base of this bicycle is , and the centre of mass of the bicycle is located midway between the tires and a height above the ground. The bicycle is moving to the right, but slowing down at a constant acceleration . Air resistance may be ignored. Assuming that the coefficient of sliding friction between each tyre and the ground is and that both tyres are skidding (sliding without rotating). Express your answer in terms of and .

What is the maximum value of so that both tires remain in contact with the ground :

System of Particles and Rotational Motion Report Error

A

B

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Solution:

If and are normal reaction on rear & front tyres, we have

As net torque about

Solving equation we get
For maintaning contact

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