Elementary Dynamics

Elementary Dynamics

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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1908 edition. Excerpt: ...is projected so as just to clear two walls of equal height a at a distance 2a from one another; if the angle of projection be 60, then the latus rectum of the path is 2a, and the time of passing between the walls 2a_. 18. In aiming at a mark a projectile falls a ft. short when the elevation is a, and goes b ft. too far when the elevation is /3. Shew that if the velocity of projection is the same in all cases the true elevation is 19. A particle is projected from a point P, and when at vertical heights h, h' above P is moving in directions making angles 0, /3' with the horizon; shew that the direction of projection makes with the horizon the angle _, /K tan20-h tan2/?-A 20. There is a hill whose inclination is 30. From a point on it one particle is projected up the hill and another down with equal velocities; the angle of projection in each case is inclined to the horizon at 45; shew that the range of one projectile is nearly 3 times the range of the other. 21. Smooth particles, starting simultaneously from the highest point of a vertical circle, slide down chords of the circle. If after leaving the chords they move on freely in space, shew that at any subsequent instant they will all lie on the circumference of a circle. 22. A heavy particle slides down a chord of a circle in a vertical plane to the lowest point and then flies off and describes a parabola. Prove that the focus of the parabola lies in the tangent at the upper extremity of the chord. 23. A particle is projected with a velocity u in a direction just sufficient to make it rise to and run along a given smooth horizontal table which is a ft. vertically above and b ft. horizontally distant from the point of projection. Find an expression for its distance along the table in t...
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Product details

  • Paperback | 90 pages
  • 189 x 246 x 5mm | 177g
  • United States
  • English
  • black & white illustrations
  • 1236873858
  • 9781236873859