The elements of dynamics, mechanics |
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attraction average velocity balance Bisect Boyle's Law centimetres centre of gravity change of velocity component cubic centimetres cubic foot cubic inches cylinder density direction of motion distance earth equal and opposite equation equilibrium Euclid EXAMINATION ON SECTIONS Examples for Exercise falls from rest feet per second figure Find its velocity find the centre Find the resultant Find the specific Find the velocity fluid foot-pounds friction fulcrum inclined plane initial velocity kinetic energy law of motion lever liquid mercury middle point miles an hour momentum moving opposite directions parallel forces acting parallelogram parallelogram of forces particle perpendicular piston point of application pounds proportional Prove pulleys right angles rigid body sides specific gravity square inch statical friction stone straight line string surface taken in order tension three forces triangle taken uniform acceleration uniform velocity unit v₁ v₂ vertically upwards vessel volume weight
Δημοφιλή αποσπάσματα
Σελίδα 33 - body continues in Us state of rest or of uniform motion in a straight line, except in so far as it is compelled by forces to change that state. The
Σελίδα 93 - AC. ;. if AB be taken to represent W in magnitude, BC will represent P, and AC will represent R, on the same scale. Therefore the Power is to the Weight as the height of the plane is to its length. Examples— 1. If the height of the plane be to its length as 3 to 5, what Power will support a
Σελίδα 146 - A body under a constant acceleration moves from rest over 10 feet in the first second, how far has it moved at the end of the second second ? 4. Find the ratio of the Power to the Weight in a system of pulleys, in which each pulley hangs by a separate string.
Σελίδα 13 - Find the velocity of the river, and that of the steamer relatively to it. 12. Parallelogram of Velocities.—If two component velocities be represented in magnitude and direction by two adjacent sides of a parallelogram, the resultant is represented by the diagonal passing through their intersection. Let a point have two uniform
Σελίδα 74 - on a flat surface is an example of neutral equilibrium. In this case the centre of gravity is neither raised nor lowered by a small displacement. 57. The Moment of a Force about a Point.—The Moment of a force about a point is the product of the force and the perpendicular on its line of action from the point.
Σελίδα 39 - great law of gravitation announced by Sir Isaac Newton is, Every particle in the universe attracts every other with a force whose direction is that of the line joining the two, and whose magnitude is proportional to the product of their masses divided by the square of
Σελίδα 57 - of Forces.—If any number of forces, acting on a particle, be represented in, magnitude and direction by the sides of a polygon taken in order, then by the polygon of
Σελίδα 39 - proportional to the product of their masses divided by the square of their distance from each other. A particle of matter near the surface of the earth attracts, and is attracted by, all the particles of which the earth is composed. The resultant (see
Σελίδα 48 - the product of the force and the distance through which the body moves in the direction of the force. The scientific unit of work is that done by unit force acting through unit space. The unit practically used in this country is the foot-pound, or the work required to raise a mass of
Σελίδα 22 - (9) To find the space passed over, we must first find the average velocity. Since the velocity increases uniformly, the average velocity during any interval is equal to the velocity at the middle of that interval; or, what is the same thing, half the sum of the velocities at the beginning and end of the interval. * Thus,