A simplified bicycle of mass M has wheelbase w. Its center of mass is midway between the tyre contact points at height h. Air resistance is ignored. Case 1: the bicycle accelerates rightward with acceleration a and both tyres roll purely. Case 2: it moves rightward but slows with acceleration magnitude a while both tyres skid; coefficient of sliding friction at each tyre is µ.
Physics · Rotational Motion · combined translatory and rotatory motion ,Pure rolling motion
A simplified bicycle of mass M has wheelbase w. Its center of mass is midway between the tyre contact points at height h. Air resistance is ignored. Case 1: the bicycle accelerates rightward with acceleration a and both tyres roll purely. Case 2: it moves rightward but slows with acceleration magnitude a while both tyres skid; coefficient of sliding friction at each tyre is µ.
Sub-question 1
The direction of friction on the tyres is
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Sub-question 2
What is the maximum value of μ so that both tyres remain in contact with the ground?
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Sub-question 3
What is the maximum value of a so that both tyres remain in contact with the ground?
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