A Short Textbook of Physics: Not Involving the Use of Higher by Wilhelm H Westphal

By Wilhelm H Westphal

This e-book is a translation of the sixth to eighth version of the author's Kleines Lehrbuch der Physik. The circle of readers to which it hopes to attraction and the author's objective in writing it were set out within the Preface to the 1st German variation, released in 1948. the current ebook regularly follows the rules of the speculation of amounts, the beginnings of which date again to James C. Maxwell. which means in all equations during this e-book the symbols normally stand for actual amounts and never for the numerical values of amounts. basically then are the equations gene rally legitimate and autonomous of the alternative of devices utilized in their review. The devices used are continually the "metric" devices which were gaining floor more and more additionally within the English-speaking nations. A conversion desk for many of the extra very important Anglo-American devices is given on web page XIV. i need to checklist my honest gratitude to Mr. Ewald Osers for his pains­ taking paintings in making this translation and to Mr. P. C. Banbury, Ph. D., of the dept of Physics, college of studying, England, either for the recommendation he has given hirn all through and for devising the issues particularly for this variation.

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Sample text

Mass and energy 33 As a result of the impact the two spheres exchange their velocities both in magnitude and direction (Fig. 26 b). With good steel balls this can be demonstrated with a high degree of accuracy. Let us now consider what happens when the spheres are made of putty or lead so that, after impact, they remain together and continue their motion jointly (Fig. 26c ;fully inelastic impact). The law of conservation of moment um applies here too. , the law of conservation of energy is of no help here.

3) I =m 1 ri +mzr~ + ... 4) (1: means "the summation of", k= 1,2,3, ... ). I is the moment ofinertia ofthe body and equals the sum of the moments of inertia of its separate particles about its axis of rotation. If we compare the kinetic energy of rotation I w Z/2 with that of translation mvZ/2, we find that in the case ofrotation the moment of inertia takes the place of the mass m, and the angular velocity w takes the place of the velocity v. This applies generally to all rotation. Unlike its mass, however, a body's moment of inertia does not have adefinite magnitude but depends on the position of the axis of rotation in relation to the body.

Experimentally the center of gravity of a body can be found by suspending it by a thread from at least two different points. The projections of the thread intersect at the body's center of gravity (Fig. 18). Suppose that a system of bodies consists of two freely movable point masses m1 and mz (Fig. 19) which initially are at rest. Their distances from their center of 2* 20 19. The center of gravity. Theorem ofthe center of gravity gravity C are Xl and X2' Between them, along the line joining them, forces of repulsion t5' and - t5', of magnitude F, are operating, accelerating both masses away from their center of gravity.

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