# An Elementary Treatise on Analytic Mechanics: With Numerous Examples

D. Van Nostrand, 1884 - Mechanics, Analytic - 511 pages

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Page 290 - Change of motion is proportional to the force applied and takes place in the direction of the straight line in which the force acts.
Page 483 - The attraction of a uniform spherical surface on an external point is the same as if the whole mass were collected at the centre.
Page 245 - Let P be the position of the particle at any time t, /the resultant acceleration acting always along OP, O being a fixed point in the line of motion.
Page 290 - To every action there is always an equal and contrary reaction ; or, the mutual actions of any two bodies are always equal and oppositely directed in the same straight line.
Page 24 - The Parallelogram of Forces. — If two forces acting at a point be represented in magnitude and direction by the adjacent sides of a parallelogram, the resultant...
Page 329 - A particle is projected from a given point in a given direction and with...
Page 292 - Since forces are measured by the changes of motion they produce, and their directions assigned by the directions in which these changes are produced ; and since the changes of motion of one and the same body are in the directions of, and proportional to, the changes of velocity — a single force, measured by the resultant change of velocity, and in its direction, will be the equivalent of any number of simultaneously acting forces.
Page 181 - The parts of the lever, into which the fulcrum divides it, are called the arms of the lever. When the arms are in the same straight line, it is called a straight lever, otherwise a bended, or more commonly, a bent lever.
Page 27 - If a number of forces acting at a point can be represented in magnitude and direction by the sides of a closed polygon taken...
Page 365 - A railway train is moving smoothly along a curve at the rate of 60 miles an hour, and in one of the carriages a pendulum, which would ordinarily oscillate seconds, is observed to oscillate 121 times in 2 min.