Mechanics for beginners |
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Page 9
... single force may be found such that if it acted in the direction opposite to that in which the motion would take place , this force would prevent the motion , and consequently would be in equilibrium with the other forces which act on ...
... single force may be found such that if it acted in the direction opposite to that in which the motion would take place , this force would prevent the motion , and consequently would be in equilibrium with the other forces which act on ...
Page 30
... single force X acting in a direction between those of S and P ; and Q and S acting at B are equivalent to a single force Y acting in a direction between those of S and Q. Produce the directions of X and Y to meet ; 30 RESULTANT OF ...
... single force X acting in a direction between those of S and P ; and Q and S acting at B are equivalent to a single force Y acting in a direction between those of S and Q. Produce the directions of X and Y to meet ; 30 RESULTANT OF ...
Page 33
... single resultant for two parallel forces , namely , when the forces are equal and unlike . The process of Art . 61 will not apply to this case ; for the lines of action of the forces X and Y are then parallel , so that the points C and ...
... single resultant for two parallel forces , namely , when the forces are equal and unlike . The process of Art . 61 will not apply to this case ; for the lines of action of the forces X and Y are then parallel , so that the points C and ...
Page 36
... single couple in that plane , having a moment equal to the difference of the sums of the moments of the two kinds , and being of the same kind as the couples which have the greater sum of moments . 71. A single force and a couple in one ...
... single couple in that plane , having a moment equal to the difference of the sums of the moments of the two kinds , and being of the same kind as the couples which have the greater sum of moments . 71. A single force and a couple in one ...
Page 41
... single resultant , or they form a couple . The algebraical sum of the mo- ments of the forces about a point in the plane always vanishes in the first case , vanishes in the second case only when the point is on the line of action of the ...
... single resultant , or they form a couple . The algebraical sum of the mo- ments of the forces about a point in the plane always vanishes in the first case , vanishes in the second case only when the point is on the line of action of the ...
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Common terms and phrases
ABCD acceleration algebraical sum angular points axis balance beam bisects body or system centre of gravity circle coefficient of friction components conditions of equilibrium cos² couple cylinder denote described determine distance equi Euclid example feet find the centre fixed point fulcrum given heavy particles Hence horizontal plane impact inches inclined plane Law of Motion length line of action lower block magnitude and direction mechanical advantage middle point move moveable Pully P+Q+R parabola Parallelogram of Forces perpendicular point of application point of projection position Power preceding Article pressure proposition radius ratio Resolved displacement respectively rest right angles rigid body Screw shew single resultant smooth string which passes system of forces System of Pullies Take moments round tension three forces tion triangle turn round uniform vanishes velocity vertical weight Wheel and Axle
Popular passages
Page 327 - The squares of the periodic times are proportional to the cubes of the major axes of the orbits.
Page 295 - Change of motion is proportional to the impressed force, and takes place in the direction of the straight line in which the force acts.
Page 295 - 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.
Page 10 - ... is represented in magnitude and direction by that diagonal of the parallelogram which passes through the particle.
Page 237 - ... point, then the resultant velocity will be represented in magnitude and direction by the diagonal, drawn from that point, of the parallelogram constructed on the two straight lines as adjacent sides.
Page 134 - This proportion teaches us that, when in equilibrium, the power is to the weight as the height of the plane is to its length.
Page 96 - The straight lines which join the middle points of the opposite sides of any quadrilateral bisect each other...
Page 16 - If three forces acting on a particle keep it in equilibrium, each force is proportional to the sine of the angle between the directions of the other two.
Page 13 - Then it is obvious that the particle will be in equilibrium; for there is no reason why it should move in one direction rather than in another.
Page 290 - A ball is projected in a given direction within a fixed horizontal hoop, so as to go on rebounding from the surface of the hoop ; find the limit to which the velocity will approach, and shew that it attains this limit in a finite time, e being less than 1.