CAS PY 105 Chapter Notes - Chapter 11: Cross Product, Rotational Energy, Gyroscope
Document Summary
Learning objectives: identify that smooth rolling can be considered as a combination of pure translation and pure rotation, 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 (cid:126)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.
