An Elementary Treatise on Kinematics and DynamicsMacmillan, 1887 - 512 páginas |
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Termos e frases comuns
algebraic sum angular acceleration angular velocity axes beam called centre of mass change of speed circle coefficient of restitution component displacements component simple harmonic configuration cylinder determined distance equal and opposite equations equilibrium Find fixed point force F friction given axis given direction given plane Hence horizontal plane impact inclined plane indefinitely small inertia instant intersection kinetic energy length line of action linear m₁ magnitude and direction middle point moment of inertia momentum moving point normal oscillation parallel forces parallelogram particle of mass path pendulum perpendicular position potential energy poundals produced proportional radians radius of gyration rate of change reaction rectangular relative represented respectively resultant force right angles rigid body rotation Show simple harmonic motion smooth horizontal sphere straight line strain stress string surface system of particles tangent tension tion triangle uniform thin vertical plane weight zero
Passagens mais conhecidas
Página 62 - Prove that the algebraic sum of the moments of two concurrent forces about any point in their plane is equal to the moment of their resultant about the same point.
Página 191 - 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.
Página 355 - ... the sides of the triangle formed by joining the middle points of the sides of the...
Página 13 - Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius...
Página 205 - 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 in the same straight line.
Página 458 - About two years since I printed this theory in an anagram at the end of my book of the descriptions of helioscopes, viz. ceiiinosssttuu, id est, ut tensio sic vis; that is, the power of any spring is in the same proportion with the tension thereof: that is, if one power stretch or bend it one space, two will bend it two, and three will bend it three, and so forward.
Página 225 - The acceleration produced by the earth on any particle outside it is therefore inversely proportional to the square of the distance of the particle from the center of the earth.
Página 425 - ... the line of action of the third force must pass through the intersection of the lines of action of the other two.
Página 354 - Three forces act at the middle points of the sides of a rigid triangular plate, in its plane, each force being perpendicular and proportional to the side at which it acts. If the forces are all inwards or all outwards, the resultant is zero.
Página 211 - Every particle of matter, in the universe, attracts every other particle with a force, which is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.