Mechanics--problems: For Engineering Students

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Engineering News Publishing Company, 1902 - Mechanics - 155 pages
 

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Page 72 - The moment of a force about a point is the product of the magnitude of the force by the perpendicular distance from the point to the line of action of the force.
Page 102 - ... 24. A light rigid rod, of length a, rests with one end on a rough horizontal plane, and the other end upon an equally rough hemisphere of radius a with its flat surface fixed to a plane, so that the rod is tangential to the hemisphere in a vertical plane containing the centre. Show that the furthest distance from the lower end of the rod at which a weight may be suspended without causing the rod...
Page 80 - Draw a square whose angular points in order are A, B, C, D, and suppose equal forces (P) to act from D to A, A to B, and B to C respectively, and a fourth force (2P) to act from C to D ; find a point such that , if the moments of the forces are taken with respect to it, the algebraical sum is zero. Ans. Any point in the resultant. 150. Assuming the construction called the
Page 113 - A balloon has been ascending vertically at a uniform rate for 4-5 seconds, and a stone let fall from it reaches the ground in 7 seconds ; find the velocity of the balloon and the height from which the stone is let fall.
Page 62 - A tripod whose vertex is A, and whose legs are AB, AC, AD, of lengths 8, 9, and 10 feet respectively, sustains a load of '2 tons. The ends B, C, D form a triangle, whose sides are BC = 7 feet, CD = 6 feet, BD = 8 fret, find by graphical construction the compressive stress in each leg.
Page 89 - Ibs., rests with one end against the foot of a wall, and from a point 2 ft. from the other end a cord runs horizontally to a point in the wall 8 ft. from the ground ; find the tension of the cord and the pressure of the lower end of the pole.
Page 21 - A pulley, 3 feet 6 inches in diameter, and making 150 revolutions per minute, drives by means of a belt a machine which absorbs 7 horse-power. What must be the width of the belt so that its greatest tension shall be 70 Ibs. per inch of width, it being assumed that the tension in the driving side is twice that in the slack side? Take * = 3f.
Page 54 - BC, making an angle of 45° with the rod, and the rod has a mass of 10 lbs. suspended from B. Neglecting the weight of the rod, find the tension of the string and the action at the hinge. 4. A uniform heavy rod AB has the end A in contact with a smooth vertical wall, and one end of a string is fastened to the rod at a point C, such that AC=^AB...
Page 86 - A uniform rod is placed like a ladder with one end against a smooth vertical wall, and the other end on a smooth horizontal plane.

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