Mechanics for Beginners: With Numerous Examples |
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Page
... straight line under the influence of a uniform force ........ 207 210 214 IV . Motion in a straight line under the influence of a uniform force , with given initial velocity ...... 228 V. Second Law of Motion . Motion , under the in ...
... straight line under the influence of a uniform force ........ 207 210 214 IV . Motion in a straight line under the influence of a uniform force , with given initial velocity ...... 228 V. Second Law of Motion . Motion , under the in ...
Page 2
... straight line in Geometry . We shall proceed to explain how we measure the magnitude of a force . 10. Forces may be ... straight lines . For we may draw a straight line from the point of application of the force in the direction of the ...
... straight line in Geometry . We shall proceed to explain how we measure the magnitude of a force . 10. Forces may be ... straight lines . For we may draw a straight line from the point of application of the force in the direction of the ...
Page 3
... straight lines to represent these forces . For let O denote the position B. of a particle . Draw straight lines OA ... line of action and direction ; thus , if we say that OA is the line of action of a force P , it may be under- stood ...
... straight lines to represent these forces . For let O denote the position B. of a particle . Draw straight lines OA ... line of action and direction ; thus , if we say that OA is the line of action of a force P , it may be under- stood ...
Page 5
... straight line which coincides with the direction of P. Then the axiom asserts that P may be applied at B instead of at A , and that the effect of the force will remain the same . This principle is called the transmissibility of a force ...
... straight line which coincides with the direction of P. Then the axiom asserts that P may be applied at B instead of at A , and that the effect of the force will remain the same . This principle is called the transmissibility of a force ...
Page 8
... straight line whose length is 1 foot 3 inches , what force will be represented by a straight line 2 feet long ? 2. How would a force of a ton be represented if a straight line an inch long were the representation of a force of seventy ...
... straight line whose length is 1 foot 3 inches , what force will be represented by a straight line 2 feet long ? 2. How would a force of a ton be represented if a straight line an inch long were the representation of a force of seventy ...
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Common terms and phrases
acceleration algebraical sum angular points axis balance ball beam centre of gravity coefficient of friction components conditions of equilibrium cosē couple cylinder denote determine distance ellipse equal equi equilibrium Euclid example find the centre fixed point forces acting fulcrum given point heavy particles Hence horizontal plane impinges inches inclined plane latus rectum Law of Motion length lever line of action line of impact lower block magnitude and direction mass mechanical advantage middle point moveable Pully P+Q+R parabola parallel forces Parallelogram of Forces perpendicular point of application point of projection position Power preceding Article pressure projectile proposition radius ratio Resolved displacement respectively rest right angles rigid body shew sides sinē smooth space described straight line system of forces System of Pullies tangent tension three forces tion triangle vanishes vis viva 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.