# An Elementary Treatise on Analytic Mechanics: With Numerous Examples

D. Van Nostrand, 1884 - 511 σελίδες

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Σελίδα 278 - Change of motion is proportional to the impressed force, and takes place in the direction of the straight line in which the force acts.
Σελίδα 278 - I. Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.
Σελίδα 13 - If three forces, acting at a point, be represented in magnitude and direction by the sides of a triangle taken in order, they will be in equilibrium.
Σελίδα 473 - The attraction of a uniform spherical surface on an external point is the same as if the whole mass were collected at the centre.
Σελίδα 48 - Moment of a Force. — The moment of a force with respect to a point is the product of the force multiplied by the perpendicular distance from the given point to the direction of the force.
Σελίδα 420 - Steiner. is true for bath a plane laminar body and a thin three-dimensional body, and states that the moment of inertia of a body about any axis is equal to its moment of inertia about a parallel axis through...
Σελίδα 12 - 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...
Σελίδα 317 - A particle is projected from a given point in a given direction and with...
Σελίδα 78 - A beam, 30 feet long, balances itself on a point at one-third of its length from the thicker end ; but when a weight of 10 Ibs. is suspended from the smaller end, the prop must be moved 2 feet towards it, in order to maintain the equilibrium.
Σελίδα 280 - 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.