Elements of Natural Philosophy, Part 1 |
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Page 91
... spiral spring as in the American clocks ) , or of pianoforte - hammers striking the strings , or of the drum struck with the proper implement , a large part of the kinetic energy of the blow is spent in generating vibrations . 272. The ...
... spiral spring as in the American clocks ) , or of pianoforte - hammers striking the strings , or of the drum struck with the proper implement , a large part of the kinetic energy of the blow is spent in generating vibrations . 272. The ...
Page 100
... spiral with uniform angular velocity about the pole - find the acceleration . Since the angular velocity of SP and the inclination of this line to the tangent are each constant , the linear velocity of P is as SP . Take a length PT ...
... spiral with uniform angular velocity about the pole - find the acceleration . Since the angular velocity of SP and the inclination of this line to the tangent are each constant , the linear velocity of P is as SP . Take a length PT ...
Page 101
... spiral be considered , it is obvious that in it also the acceleration will consist of two parts - one directed towards a point in the line ( the projection of the pole of the spiral ) , and proportional to the distance from it ; the ...
... spiral be considered , it is obvious that in it also the acceleration will consist of two parts - one directed towards a point in the line ( the projection of the pole of the spiral ) , and proportional to the distance from it ; the ...
Page 102
... spiral , for the moving particle never describes more than a finite angle about the pole . A curve , derived from an equilateral hyperbola , by a process somewhat resembling that by which the logarithmic spiral is deduced from a circle ...
... spiral , for the moving particle never describes more than a finite angle about the pole . A curve , derived from an equilateral hyperbola , by a process somewhat resembling that by which the logarithmic spiral is deduced from a circle ...
Page 127
... spiral spring - just as the train of wheel - work in a gas - meter counts the number of revolutions of the main shaft caused by the passage of the gas through the machine . As , how- ever , it is impossible to avoid friction ...
... spiral spring - just as the train of wheel - work in a gas - meter counts the number of revolutions of the main shaft caused by the passage of the gas through the machine . As , how- ever , it is impossible to avoid friction ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic applied attraction axes axis called Cambridge centre of gravity centre of inertia circle circular co-ordinates component configuration consider constant corresponding cosine couple curvature curve cylinder Demy 8vo denote density described diagram displacement distance edition elastic ellipse ellipsoid elongation equal equations equilibrium external point fixed point fluid forces acting friction geometrical given force Hence hodograph inclined infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal P₁ P₂ parallel parallelogram particle path pendulum perpendicular portion position pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned resultant right angles rigid body rotation round shear shell simple harmonic motion solid solid angle space spherical surface spiral square straight line strain suppose tangent torsion uniform unit University of Cambridge vertical whole wire
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Page 69 - a viribus impressis cogitur statum suum mutare. 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.
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