An Elementary Treatise on MechanicsJ. McGlashan, 1847 - 129 σελίδες |
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Συχνά εμφανιζόμενοι όροι και φράσεις
accelerating force acquired in falling angle angle of friction angular velocity axis centre of gravity centrifugal force Chap chord circle circumference continued uniform cosine cylinder diameter distance divided equal and opposite equal and parallel equal particles equal velocities equations equilibrated equilibrium evident final velocities find the centre fixed point force equal force of gravity forces acting forces Ax forces multiplied forces OA forces which act friction given forces inclined plane inertia with respect length lever moment of inertia number of forces opposite direction oscillation parallel forces parallelogram pendulum perpendicular point F Prop proportional pulley quantities of matter radii radius ratio rectangle rections represented resistance rest resultant right line rigid body Scholium screw space described space passed square supposed surface tangent three forces uniform force velo virtual velocity vis viva viva
Δημοφιλή αποσπάσματα
Σελίδα 89 - For since the time of vibration is to the time of descent through half the length of the pendulum, as the circumference of a circle to its diameter, that is, as 3.14159 to 1?
Σελίδα 99 - ... the squares of the periodic times are as the cubes of the distances from the common centre, the centripetal forces will be inversely as the squares of the distances.
Σελίδα 48 - Art. 131, when the power acts parallel to the base of the plane, an equilibrium is produced when the power is to the weight as the height of the plane to its...
Σελίδα 30 - If a pyramid or a cone be divided into thin slices by planes parallel to its base, and a straight line be drawn from the vertex to the centre of gravity of the base...
Σελίδα 116 - ... the distance through which its point of application moves in the direction of the force.
Σελίδα 36 - ... of grinding corn by hand, which was chiefly performed by women, was prevalent at Rome until the time of Augustus, when we find the first mention of water mills. The elements of machinery are found in what are called the Mechanical Powers. They are six in number, viz. the Lever, the Wheel and Axle, the Pulley, the Inclined Plane the Screw, and the Wedge. THE LEVER. 88.
Σελίδα 35 - The surface of a sphere is equal to four times the area of a circle...
Σελίδα 43 - In the wheel and axle, an equilibrium takes pl.ice when the power multiplied by the radius of the wheel, is equal to the weight multiplied by the radius of the axle ; or P : W : : CA : CB.
Σελίδα 14 - Propositions iv. and v., to cut the line joining their points of application in the inverse ratio of the forces...
Σελίδα 101 - The moment of inertia of an area with respect to any axis exceeds its moment of inertia with respect to a parallel axis drawn through its centroid by the product of the area by the square of the distance between the parallel axes.