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acceleration action angle axis ball body Book called centre circle complete component considered constant contains curve denoted density descend described determine dimension direction directly distance earth Edited equal equation equivalent example exerted expression falling feet per second fixed follows foot force acting given gravity Hence horizontal impact impinge impulse inclined increased instant interval kinetic energy less magnitude matter mean measure miles momentum motion moving opposite parabola particle passed path perpendicular placed plane point of projection portion position pound pressure produced projection proportional pulley quantity ratio relative remain represented respectively rest resultant side smooth sphere square straight line strikes string Suppose surface tension tion train uniform unit of force unit of length unit of mass unit of velocity velocity vertical volume weight whole
Página 28 - 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 251 - A particle starts from rest at any point in the arc of a smooth cycloid whose axis is vertical and vertex downwards ; to find the time of descent to the vertex. Let T be the point from which the particle starts. Through T draw TC parallel to AD, and let a second cycloid OA' be drawn, having its vertex at O and O0 for axis.
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 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 181 - The earth's equatorial radius being 3962-5 miles, if a particle be allowed to fall from the top of a mast at the height of 100 feet above the deck of a ship, find where it will meet the deck. EXAMPLES ON CHAPTER III. 1. Determine the direction and velocity of projection that a shot may strike the ground after 16 seconds at a distance of 9000 feet from the point of projection. 2. 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...
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...