A Treatise on Elementary Dynamics, for the Use of Colleges and Schools
Deighton, Bell, 1889 - 320 páginas
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acceleration action angle ball body called centre circle coefficient complete component considered constant contains denoted density descend described determine dimension direction directly distance earth elasticity equal equation equivalent example exerted expression feet per second fixed follows foot foot-pounds force acting friction given gravity Hence horizontal hour impact impulse inclined instant interval kinetic energy matter miles minus momentum motion moving numerical measure opposite parabola particle passed path plane point of projection portion position pound pressure produced projection pulley quantity range ratio relative remain represented respectively rest resultant smooth square straight line strikes string Suppose surface tension tion train uniform unit of acceleration unit of force unit of length unit of mass unit of velocity varies inversely vertical weight whole
Página 25 - 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 47 - Now it has been shewn that the product of a force into the velocity of its point of application in the direction of the force, is the rate at which it works.
Página 141 - The total energy of any material system is a quantity which can neither be increased nor diminished by any action between the parts of the system, though it may be transformed into any of the forms of which energy is susceptible.
Página 85 - It is therefore of precisely the same nature as the unit of work, and we have seen (Art. 77) that when work is done on a free particle, an equivalent amount of energy is always given to it ; this could not be the case were work and energy of different natures, that is, of different dimensions in the three fundamental mechanical units. The numerical measure of the kinetic energy of a moving particle will of course vary inversely as the unit of mass, inversely as the square of the unit of length, and...
Página 88 - A numerical value - will vary inversely as /, and directly in the duplicate ratio of t. In other words, the unit of acceleration varies directly as the unit of length, and inversely as the square of the unit of time ; and the numerical value of a given acceleration varies inversely as the unit of length, and directly as the square of the unit of time. It will be observed that these have been deduced as direct consequences from the fact that [the numerical value of] an acceleration is equal to [the...
Página 306 - A ball is projected from the middle point of one side of a billiard-table, so as to strike in succession one of the sides adjacent to it, the side opposite to it, and a ball placed in the centre of the table ; shew that, if a and...
Página 5 - A denote a concrete acceleration such that the velocity V is gained in the time T, and let a denote the unit of acceleration. Then, since the numerical value of the acceleration A is the numerical value of the velocity V divided by the numerical value of the time...
Página 30 - The unit of force in this case is that force which acting on the mass of a pound for one second generates in it a...
Página 181 - A plane is inclined at an angle of 30° to the horizon: a particle is projected from a point in it in a direction making an angle of 60° with the horizon.
Página 67 - ... directly as the unit of length, and inversely as the unit of time — a property which is also characteristic of the unit of velocity.