Textbook Guide Physics: Momentum, Inertial Frame Of Reference, Wheel Slide Protection
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PHY131H1 Full Course Notes
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Rolling as translation and rotation combined: apply the relationship between the centre-of-mass speed and the angular speed of a body in smooth rolling. Rolling can be seen as a combination of translation and rotation. In ideal conditions, rolling will occur along completely smooth surfaces. The centre of mass o of a rolling wheel moves a distance s at velocity ~vcom while the wheel rotates through angle . This distance s is the linear translation of the wheel"s centre of mass. The linear speed vcom of the centre of the wheel (the centre of mass of a uniform wheel) is ds/dt. Its angular speed about the centre of the wheel is d /dt. The movement of any rolling object (such as a wheel) can be decomposed into combination of pure rotation and pure translation components. vcom = r. We can interpret the term 1 its axis through its centre of mass. The term 1 motion of the wheel"s centre of mass.