The Principles of Mechanics: Designed for the Use of Students in the UniversityJ. Smith, 1818 - 211 pages |
Common terms and phrases
A's velocity accelerates or retards accelerating force acquired in falling axis bodies move body falls center of gravity center of motion chord circle circular arc circumference consequently cycloid cylinder descent diameter draw equal evanescent feet force of gravity forces act fulcrum given hence horizon inclined plane inertia join lever momenta momentum moving force opposite directions oscillation pa² parabola parallel parallelogram particles perfectly hard perpendicular power and weight pressure PROP proportional pulley quantities and directions quantity of matter radius ratio relative velocity remain at rest resistance right angles SCHOLIUM sides similar triangles space described spaces uniformly described square root string supposed sustained tangent three forces triangle ABC uniform force velocity acquired velocity before impact velocity communicated velocity gained velocity lost weight acts whole
Popular passages
Page 4 - The idea of solidity we receive by our touch: and it arises from the resistance which we find in body to the entrance of any other body into the place it possesses, till it has left it. There is no idea which we receive more constantly from sensation than solidity.
Page 4 - ... of any other body into the place it possesses, till it has left it. There is no idea which we receive more constantly from sensation than solidity. Whether we move or rest, in what posture soever we are, we always feel something under us that supports us, and hinders our farther sinking...
Page 64 - 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 41 - If three forces acting at a point are in equilibrium they can be represented in magnitude and direction by the three sides of a triangle taken in order.
Page 19 - Prop. 19. — 1st. If a body be at rest it will continue at rest, and if in motion, it will continue to advance uniformly in a right line, unless compelled to change its state by some external force, pp.
Page 25 - ... (3) To every action there is an equal and opposite reaction; or the mutual actions of two bodies are always equal and oppositely directed.
Page 152 - If chords be drawn in a circle from the extremity of that diameter which is perpendicular to the horizon, the VELOCITIES which bodies acquire in falling through them, are proportional to their lengths ; and the TIMES of describing these chords are all equal to one anotfier, and are severally equal to the time of describing the diameter.
Page 50 - If two weights balance each other upon a straight Lever, the pressure upon the fulcrum is equal to the sum of the weights, whatever be the length of the Lever.
Page 104 - AM 18. If any momenta be communicated to the parts of a system, its center of gravity will move in the same manner that a body equal to the sum of the bodies in the system would move, were it placed in that center, and the same momenta communicated to it, in the same directions.
Page 69 - In a system in which the same string passes round any number of pulleys and the parts of it between the pulleys are parallel, there is an equilibrium when Power (P) : Weight (W) :: 1 : the number of strings at the lower block.