A Text Book of Elementary Mechanics: For the Use of Colleges and Schools

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J. Wiley & sons, 1881 - 291 pages
 

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Page 63 - 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.
Page 216 - There is an equilibrium upon the wheel and axle when the power is to the weight as the radius of the axle to the radius of the wheel.
Page 63 - To every action there is always an equal and contrary reaction ; or the mutual actions of any two bodies are always equal and oppositely directed.
Page 166 - ... rupture, that the deflection of the solid is inconsiderable, and that the force W which causes it is perpendicular to the direction of the fibres, it follows that the conditions of equilibrium require that the algebraic sum of the forces in the direction of the fibres shall be equal to zero, and that the sum of the moments of all the forces with respect to the neutral line across the section at OP shall also be equal to zero. The first of these conditions will be expressed by R.
Page 139 - Shew that if three forces acting on a point keep it in equilibrium, each force is proportional to the sine of the angle between the directions of the other two.
Page 138 - Theorem. If three forces acting on a particle keep it in equilibrium, each is proportional to the sine of the angle between the other two.
Page 34 - Hence the velocity acquired in sliding down a smooth inclined plane is the same as would be acquired in falling freely through a vertical space equal to the height of the plane.
Page 141 - If any number of forces, in the same plane, act on a point and keep it at rest, they may be represented by the sides of a polygon taken in order ; required the proof.
Page 165 - ... will be in equilibrium if the algebraic sum of the moments of the forces about the fixed axis vanishes.
Page 14 - ... decreasing instead of increasing, it is called retarded motion. An important application of accelerated motion is found in the case of bodies falling under the influence of gravity; this will be taken up later. A body falling freely from rest to the earth acquires during the first second a velocity of about 32 feet per second; at the end of the second second a velocity of about 32...

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