An Elementary Treatise on Analytic Mechanics: With Numerous ExamplesD. Van Nostrand, 1884 - 511 páginas |
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Otras ediciones - Ver todo
An Elementary Treatise on Analytic Mechanics: With Numerous Examples Edward A. Bowser Vista completa - 1923 |
Términos y frases comunes
acceleration angle of friction applied axes axis beam centre of gravity circle co-ordinates coefficient of friction components concurring forces constant cord cos² couple curve cycloid denote density diagonal displacement distance dx dy equation Find the centre find the position forces acting given Hence horizontal plane inclined plane kinetic latus rectum length lever magnitude and direction mechanical advantage moment of inertia moments motion moving normal P₁ P₂ parabola parallel forces parallelogram particle perpendicular point of application position of equilibrium pounds pressure projection pulley pyramid represented in magnitude resistance resolved respectively rest resultant rigid body side sin² smooth sphere Statics straight line string suppose surface tangent tension three forces tion triangle uniform varies vertex virtual displacement virtual velocities weight wheel Y₁ πα
Pasajes populares
Página 280 - Change of motion is proportional to the impressed force, and takes place in the direction of the straight line in which the force acts.
Página 280 - 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.
Página 15 - 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.
Página 475 - The attraction of a uniform spherical surface on an external point is the same as if the whole mass were collected at the centre.
Página 50 - 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.
Página 422 - 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...
Página 14 - 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...
Página 319 - A particle is projected from a given point in a given direction and with...
Página 80 - 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.
Página 282 - 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.