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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action line amplitude angle angular acceleration angular velocity Assume body Calculate center of gravity center of mass centripetal force circular coefficient components cone constant Construct cord curve cylinder density determined diagram diameter direction disk distance dt2 dt2 dynes earth ellipsoid Emr2 equal equation Find the center focal length force acting force polygon friction given gram heat Hence herpolhode horizontal horse-power inclined plane index of refraction inertia instantaneous axis intensity kinetic energy lens linear load measured moment of inertia momentum motion moving NATURAL AND EXPERIMENTAL normal parallel forces particle pendulum period polhode poundal pressure principle problem produced pulley radius radius of gyration ratio reaction respect rest resultant rotation shown simple harmonic simple harmonic motion sin² Solve sphere spring stress surface tangent temperature tension tion triangle unit of force unknown forces vertex vertical vibration wave weight zero
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Page 245 - Therefore, the specific gravity of a solid or a liquid body is the ratio of its weight to the weight of an equal volume of water...
Page 4 - 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 forces to change that state.
Page 67 - The radius vector drawn from the sun to a planet sweeps equal areas in equal times. 3. The squares of the periodic times of the planets are proportional to the cubes of the semimajor axes of their orbits.
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 31 - States is the amount of heat necessary to raise 1 Ib. of water through 1° F.
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?
Page 4 - 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 17 - ... gravity, and the amount that it weighs is a measure of this pull. A piece of iron, for example, weighs one pound when it is of such a size and density that it is drawn to the earth by a force equal to that which attracts a standard pound weight.
Page 224 - Show that the moment of inertia of a body about any axis is equal to the moment of inertia about a parallel axis through the center of mass plus the product of the mass of the body and the square of the distance between the axes.