Theoretical Mechanics: An Elementary Text-bookThe author, 1900 - 436 páginas |
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Termos e frases comuns
acceleration algebraic sum angle angular momentum angular velocity assumed attraction axes axial components axis of rotation center of mass centroid computed concurrent forces conditions of equilibrium coördinates coplanar cord couple curve cylinder definite denote density displacement distance earth effective forces equal and opposite equation of motion equivalent external forces fixed axis fixed point follows force equal forces acting forces applied forces exerted friction ft.-per-sec given forces Hence horizontal inclined increment initial instant instantaneous integration interval kinetic energy known length line of action m₁ magnitude and direction mass-center moment of inertia moments moving P₁ P₂ path per-sec perpendicular plane motion point of application position of equilibrium pound-force poundals principle product of inertia radius of gyration represented resolved rest resultant force rigid body single force smooth string surface tangent tension ticle tion v₁ vector quantity vector sum velocity-increment vertical weight
Passagens mais conhecidas
Página 54 - 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 223 - Change of motion is proportional to the impressed force, and takes place in the direction of the straight line in which the force acts.
Página 223 - Law I. — Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it is compelled by force to change that state.
Página 50 - ... and its line of action passes through the point of intersection of the lines of action of the given forces.
Página 48 - ... and varying inversely as the square of the distance from that point. Determine the position of equilibrium.
Página 56 - ... move the body. Determine the direction and magnitude of the reaction between the plane and the body. 9. Show how to find the Centre of Mass of a body. In the case of three particles, prove that your method gives a single determination of its position. 10. Define the Moment of a Couple, and show that two couples in the same plane are equivalent if their moments are equal, and they act in the same sense. Three men at the ends of three of the eight bars of a capstan undertake to hold the capstan...
Página 341 - The coordinates of the vector in the ox'y' system are (x',y') and, furthermore, as may be verified, x' = x cos 6 + y sin 6 y
Página 35 - The moment of the resultant of any number of concurrent forces with reference to any point in their plane is equal to the algebraic sum of their separate moments with reference to that point.
Página 155 - Then they will attract each other with a force which is proportional to the product of their masses and inversely to the square of the distance between their centers (Newtonian gravitational equation).
Página 59 - The resultant of any number of coplanar couples is a couple whose moment is equal to the algebraic sum of the moments of the given couples.