Notes, Problems and Laboratory Exercises in Mechanics, Sound, Light, Thermo-mechanics and Hydraulics: Prepared for Use in Connection with the Course in Natural and Experimental Philosophy at the United States Military Academy

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John Wiley & sons, 1917 - 369 pages
 

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Page 66 - that every particle of matter in the universe attracts every other particle, with a force whose direction is that of the line joining the two, and whose magnitude is directly as the product of their masses, and inversely as the square of their distances from each other.
Page 4 - Law I. — Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it is compelled by force to change that state.
Page 29 - The total energy of any body or system of bodies is a quantity which can neither be increased nor diminished by any mutual action of such bodies, though it may be transformed into any one of the forms of which energy is susceptible.
Page 67 - The squares of the periods of revolution of any two planets are proportional to the cubes of their mean distances from the sun.
Page 51 - ... the same direction through the same position. The Phase of a simple harmonic motion at any instant is the fraction of the whole period which has elapsed since the moving point last passed through its middle position in the positive direction.
Page 263 - ... the radius of gyration with respect to an axis through the center of mass and parallel to the axis of suspension.
Page 48 - C was allowed to fall on a small plane mirror mon which was capable of rapid rotation about an axis through o perpendicular to the plane of the paper.
Page 164 - A bar 6 ft. long and pivoted at the middle has a weight of 24 Ibs. hung at one extremity. What is the moment of the weight (a) when „ the bar is horizontal, (b) when it makes an angle of 30° below, and (c) of 60° above with the horizontal position?
Page 61 - Hence (1) t is independent of the amplitude; that is, the vibrations are isochronous; (2) t is proportional to the square root of the moment of inertia of the system; (3) t is proportional to the square root of the length of the wire.
Page 134 - The steel cable from which the Brooklyn bridge hangs is more than a mile long. How many feet does a mile of its length vary between a winter day when the temperature is — 20° C and a summer day when it is 30° C?

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