Mechanics for Beginners: With Numerous Examples |
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... Lever XII . Balances ...... PAGE I 9 23 30 38 43 53 61 70 89 98 107 XIII . The Wheel and Axle . The Toothed Wheel .... 116 XIV . The Pully ... .... ་་་ .. XV . The Inclined Plane XVI . The Wedge . The Screw XVII . Compound Machines ...
... Lever XII . Balances ...... PAGE I 9 23 30 38 43 53 61 70 89 98 107 XIII . The Wheel and Axle . The Toothed Wheel .... 116 XIV . The Pully ... .... ་་་ .. XV . The Inclined Plane XVI . The Wedge . The Screw XVII . Compound Machines ...
Page 54
... lever . A lever is a rigid body which is moveable in one plane about a point which is called the fulcrum , and is acted on by forces which tend to turn it round the fulcrum . In order that the lever may be equilibrium the moments of the ...
... lever . A lever is a rigid body which is moveable in one plane about a point which is called the fulcrum , and is acted on by forces which tend to turn it round the fulcrum . In order that the lever may be equilibrium the moments of the ...
Page 56
... lever , exert equal efforts to turn the lever round . From these axioms certain propositions are deduced ; for example the following : A horizontal rod or cylinder of uniform density will produce the same effect by its weight as if it ...
... lever , exert equal efforts to turn the lever round . From these axioms certain propositions are deduced ; for example the following : A horizontal rod or cylinder of uniform density will produce the same effect by its weight as if it ...
Page 57
... lever on opposite sides of the fulcrum C be such that M P CN Q CM ' and let them be like forces , so that they tend to turn the lever in contrary directions : they will balance each other . If P = Q , the proposition is true by the ...
... lever on opposite sides of the fulcrum C be such that M P CN Q CM ' and let them be like forces , so that they tend to turn the lever in contrary directions : they will balance each other . If P = Q , the proposition is true by the ...
Page 58
... Lever . Let a force P act along Op and a force Qalong Oq ; let Or be the direction of their resultant . From any point C in the direction of the resultant draw CA parallel to Oq and CB parallel to Op ; o also CM perpendicular B to Op ...
... Lever . Let a force P act along Op and a force Qalong Oq ; let Or be the direction of their resultant . From any point C in the direction of the resultant draw CA parallel to Oq and CB parallel to Op ; o also CM perpendicular B to Op ...
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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 cosē 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 sides single resultant smooth straight line string which passes system of forces System of Pullies Take moments round tension three forces tion triangle uniform vanishes velocity vertical weight Wheel and Axle
Popular passages
Page 260 - 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 210 - 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 327 - ... that the squares of the periodic times are proportional to the cubes of the mean distances of the planets from the Sun.
Page 16 - Conversely, if three forces act on a particle, and each force is proportional to the sine of the angle between the other two...
Page 10 - ... represented in magnitude and direction by that diagonal of the parallelogram which passes through the particle.
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 13 - The nature of force is now, and always will be, unknown.' Force is known only by its effects: A point or particle at rest cannot give itself any motion since there is no reason why it should move in one direction rather than another. But if the particle is not forced to move upon a determinate curve, the curve which it describes possesses a singular property, which has been discovered by metaphysical considerations, ie between any two points is less than on every other curve, if the body be free,...
Page 74 - The intersection of the straight lines which join the middle points of opposite sides of any quadrilateral, is the middle point of the straight line which joins the middle points of the diagonals (I.
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.
Page 264 - If you press a stone with your finger, the finger is also pressed by the stone. If a horse draws a stone tied to a rope, the horse (if I may so say) will be equally drawn back towards the stone...