A collection of problems and examples adapted to the 'Elementary course of mathematics'.J. & J.J. Deighton, 1847 - 80 páginas |
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Página 65
... position by a rod ( without weight ) acting from a given point in the plane against the body ; find the tension of the string . 4. If be the angular distance of a body from the lowest point of a circular arc in a vertical plane , the ...
... position by a rod ( without weight ) acting from a given point in the plane against the body ; find the tension of the string . 4. If be the angular distance of a body from the lowest point of a circular arc in a vertical plane , the ...
Página 66
... position of the ring . 11 . 12. Four forces represented by 1 , 2 , 3 , and 4 , act in the same plane on a point . The directions of the first and third are at right angles to each other ; and so are the directions of the second and ...
... position of the ring . 11 . 12. Four forces represented by 1 , 2 , 3 , and 4 , act in the same plane on a point . The directions of the first and third are at right angles to each other ; and so are the directions of the second and ...
Página 67
... position of equilibrium . 5. A uniform bent lever , when supported at the angle , rests with the shorter arm horizontal . If the shorter arm were twice as long , it would rest with the other horizontal . Compare the lengths of the arms ...
... position of equilibrium . 5. A uniform bent lever , when supported at the angle , rests with the shorter arm horizontal . If the shorter arm were twice as long , it would rest with the other horizontal . Compare the lengths of the arms ...
Página 68
... position of the weights be reversed ? 9. A uniform rod of given weight and length suspended at a given point , is drawn out of the vertical position by a given force , acting upon its lower extremity by means of a string , which passes ...
... position of the weights be reversed ? 9. A uniform rod of given weight and length suspended at a given point , is drawn out of the vertical position by a given force , acting upon its lower extremity by means of a string , which passes ...
Página 69
... position of equilibrium . 1 . MECHANICAL POWERS . What force must be exerted to sustain a ton weight on a screw , the thread of which makes 158 turns in the course of 12 inches , and which is acted on by an arm 6 feet long ? 2 . In the ...
... position of equilibrium . 1 . MECHANICAL POWERS . What force must be exerted to sustain a ton weight on a screw , the thread of which makes 158 turns in the course of 12 inches , and which is acted on by an arm 6 feet long ? 2 . In the ...
Términos y frases comunes
a²b a³b ab² ab³ angle of incidence angular arithmetical mean arithmetical series axis base beam body is projected centre of gravity circle coefficient concave convex lens cos² cosec cube cylinder distance Divide double convex lens elastic ball equal equation feet find the angle find the focal find the height Find the number find the value focal length focus force fulcrum geometrical progression given point given weight harmonical mean horizontal plane inches inclined plane inscribed latus rectum luminous point miles mirror Multiply observed parallel perpendicular placed polygon prism Prove pully quantities radii radius ratio ray of light rays diverging reflexion refracted regular polygon respectively right angle shew sin² specific gravity sphere spherical reflector square string passing subtends Subtract tower vertical plane
Pasajes populares
Página 23 - A man travelled 105 miles, and then found that if he had not travelled so fast by 2 miles an hour, he should have been 6 hours longer in performing the journey.
Página 22 - B, can perform a piece of work together in 16 days. They work together for 4 days, when A being called off, B is left to finish it, which he does in 36 days more. In what time would each do it separately ? Ans. A in 24 days, B in 48 days.
Página 22 - There is a cistern, into which water is admitted by three cocks, two of which are of exactly the same dimensions. When they are all open, five-twelfths of the cistern is filled in four hours; and if one of the equal cocks be stopped, seven-ninths of the cistern is filled in ten hours and forty minutes.
Página 52 - A person standing at the edge of a river observes that the top of a tower on the edge of the opposite side subtends an angle of 55° with a line drawn from his eye parallel to the horizon ; receding backwards 30 feet, he then finds it to subtend an angle of 48°. Determine the breadth of the river. log. sin 7° = 9.08589 log.
Página 32 - At a game of cards, 3 being dealt to each person, any one can have 425 times as many hands as there are cards in the pack. How many cards are there 1 12.
Página 89 - A descends alone ; the pressure of the atmosphere is equal to that of a column of water...
Página 21 - Fifteen guineas should weigh four ounces ; but a parcel of light gold having been weighed and counted, was found to contain 9 more guineas than was supposed from the weight ; and a part of the whole, exceeding the half by four guineas and a half, was found to be 1-^ oz.
Página 31 - If the first has to the second the same ratio which the third has to the fourth...
Página 24 - For every yard of the better sort he gave as many shillings as he had yards in all ; and for every yard of the worse as many shillings as there were yards of the better sort more than of the worse. And the whole price of the better sort was to the whole price of the worse as 72 to 7. How many yards had he of each ? Ans.
Página 94 - There are three plane reflectors, two of which are at right angles to each other, and a ray of light is incident upon the third, and reflected successively by each of them...