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Physics
Classical Physics
Mechanics
Direction of friction on a rolling body
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[QUOTE="Happiness, post: 5642865, member: 549579"] A cylinder rolls on a horizontal, flat surface without sliding towards the left, so it must be rolling anticlockwise about its center of mass (CM). Suppose it slows down to a stop due to friction. What is the direction of the friction at the point of contact? Since it slows down, friction must be acting to the right. But this rightward friction produces an anti-clockwise torque ##\tau## about the CM. Since ##\tau=I\alpha##, this anti-clockwise ##\tau## produces an anti-clockwise angular acceleration ##\alpha## about the CM. Since the cylinder does not slide, a faster rotation means its CM moves faster. This contradicts the premise that the cylinder comes to a stop. What's wrong? I am guessing any cylinder that comes to a stop must slide. For a cylinder that is not observed to be sliding, it is still sliding but not noticeably. Is this true? [/QUOTE]
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Forums
Physics
Classical Physics
Mechanics
Direction of friction on a rolling body
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