The Mechanics of Machinery

Cover The Mechanics of Machinery
The Mechanics of Machinery
Alexander Blackie William Kennedy
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Vn.
point at different instants, problems which cannot be under- stood or solved without continual reference to the forces causing motion or change of motion.
We have distinguished ( 15) between linear velocity and angular velocity. The former has to do with the distance, measured in ordinary length units, as feet, traversed by a point in a given time, while the latter is measured by the angle swept through by the radius of the point in a given time. Although something has already (in 15) been
...said about the relation between linear and angular velocities, it is necessary to look at it here somewhat more in detail.
We have already seen (7) that every body which has plane motion must be rotating about a point l in the plane. If this point be infinitely distant (like the virtual centre of a sliding pair), all the points in the body are moving at every instant in parallel straight lines and with the same velocity. In this motion of translation (which is thus merely a special case of motion of rotation) the velocity of the body is fully known if that of any one of its points be known.


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