An Elementary Treatise on Mechanics: Embracing the Theory of Statics and Dynamics, and Its Applications to Solids and FluidsHarper, 1855 - 307 من الصفحات |
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طبعات أخرى - عرض جميع المقتطفات
عبارات ومصطلحات مألوفة
action angle applied apsis axes axis axle base beam Bisect center of gravity Center of Pressure centrifugal force circle co-ordinates components concurring forces conditions of equilibrium cord couple curve density descend determine displaced fluid distance earth equal and opposite equation equilibrium feet find the center fixed point fluid force of gravity force varies forces acting friction fulcrum given Hence impact inclined plane length lever magnitude mass moment of inertia motion orbit P₁ P₂ parallel forces parallelogram parallelopiped particles pendulum perpendicular point of application polygon position projection PROP pulley radius radius of gyration ratio reaction represent resolved respectively resultant SCHOL seconds sides space described specific gravity square Substituting surface tension tion triangle v₁ versin vertical line vessel vibration virtual velocities weight wheel
مقاطع مشهورة
الصفحة 213 - The squares of the periods of revolution of any two planets are proportional to the cubes of their mean distances from the sun.
الصفحة 247 - The specific gravity of a body is the ratio of the weight of the body to the weight of an equal volume of some other body taken as the standard of comparison, and whose specific gravity, therefore, is taken as the unit.
الصفحة 181 - TT is constant, or, the time of vibration of a pendulum varies directly as the square root of the length, and inversely as the square root of the accelerating force.
الصفحة 8 - If three forces, acting at a point, can be represented in magnitude and direction by the sides of a triangle, taken in order, they will be in equilibrium.
الصفحة 6 - If two forces be represented in magnitude and direction by the two adjacent sides of a parallelogram, the diago nal will represent their resultant in magnitude and direction.
الصفحة 181 - ... of that due to the vertical height of the plane, compare the time of descent down the plane with that of falling through its height. Ex. 7. A given weight P draws another given weight W up an inclined plane of known height and length, by means of a string parallel to the plane. When and where must P cease to act that W may just reach the top of the plane ? Ex. 8. Divide a given inclined plane into three parts such that the times of descent down them successively may be equal. that acquired in...
الصفحة 9 - If any number of forces, acting at a point, can be represented in magnitude and direction by the sides of a polygon taken in order, they will be in equilibrium.
الصفحة 169 - O, and, therefore, the time down it will be greater than the time down PB, which is therefore the line of quickest descent to the circumference of C. 281. PROP. To find the straight line of quickest descent from a given point to a given inclined plane. Let A be the given point, AG a vertical line passing through this point, and AB a perpendicular to the inclined plane BG. The line AC, bisecting the angle BAG, will be the line required.
الصفحة 213 - Kepler's laws, the areas described by the radius vector are proportional to the times, and when this is the case, by Art.
الصفحة 155 - ... with a force varying inversely as the square of the distance of the body from the center, but a body or particle in the interior with a force varying directly as its distance from the center.