Mechanics for Beginners: With Numerous Examples |
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Page 17
... meet at a point or are all parallel . For suppose the lines of action of two of the forces to meet at a point ; these forces may be supposed to act at this point , and may be replaced by their resultant . This resultant and the third ...
... meet at a point or are all parallel . For suppose the lines of action of two of the forces to meet at a point ; these forces may be supposed to act at this point , and may be replaced by their resultant . This resultant and the third ...
Page 19
... meet at that point . Hence the parallelogram of forces is true , so far as the direction is concerned , when the forces are equal . 47. To demonstrate the Parallelogram of Forces so far as relates to the direction of the resultant , the ...
... meet at that point . Hence the parallelogram of forces is true , so far as the direction is concerned , when the forces are equal . 47. To demonstrate the Parallelogram of Forces so far as relates to the direction of the resultant , the ...
Page 30
... 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 Resultant of two Parallel Forces.
... 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 Resultant of two Parallel Forces.
Page 31
With Numerous Examples Isaac Todhunter. Produce the directions of X and Y to meet ; let them meet at C , and draw CD parallel to the directions of P and Q , meeting AB at D. Transfer X and Y to C , and resolve them along CD and a ...
With Numerous Examples Isaac Todhunter. Produce the directions of X and Y to meet ; let them meet at C , and draw CD parallel to the directions of P and Q , meeting AB at D. Transfer X and Y to C , and resolve them along CD and a ...
Page 37
... meets AB . 5. If the point O be outside the triangle and the forces P and Q in the same proportion as in Example 4 , shew that the result is still true , provided P and Q be like or unlike according as the intersection of CO and AB be ...
... meets AB . 5. If the point O be outside the triangle and the forces P and Q in the same proportion as in Example 4 , shew that the result is still true , provided P and Q be like or unlike according as the intersection of CO and AB be ...
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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 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...