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" Two strings of the same length have each of their ends fixed at each of two points in the same horizontal plane. A smooth sphere of radius r and weight W is supported upon them at the same distance from each of the given points. If the plane in which... "
A Treatise on Elementary Statics - Page 96
by John Greaves - 1888 - 274 pages
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A Treatise on Analytical Statics, with Numerous Examples

Isaac Todhunter - Statics - 1853 - 362 pages
...the weight of the chain, and the tension at the highest point is three times that at the lowest. 24. Two strings of the same length have each of their...from each of the given points. If the plane in which each string lies make an angle a with the horizon, prove that the tension of each is coseca; a being...
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An elementary treatise on Mechanics

Stephen Parkinson - Mechanics - 1863 - 408 pages
...angles which successive portions of the string make with the vertical are in arithmetic progression. 10. Two strings of the same length have each of their...in which either string lies makes an angle a with Wa the horizon, prove that the tension of each is = -- - coseca; a being the distance between the points....
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An Elementary Treatise on Mechanics for the Use of the Junior Classes at the ...

Stephen Parkinson - Dynamics - 1863 - 396 pages
...angles which successive portions of the string make with the vertical are in arithmetic progression. 10. Two strings of the same length have each of their...horizontal plane. A smooth sphere of radius r and weight TF is supported upon them at the same distance from each of the given points. If the plane in which...
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A Treatise on Analytical Statics: With Numerous Examples

Isaac Todhunter - Mathematics - 1866 - 386 pages
...the tension at the highest point is three times that at the lowest. 30. Two strings without weight of the same length have each of their ends fixed at...from each of the given points. If the plane in which each string lies makes an angle a with the horizon, prove that the tension of Wa each is -— cosec...
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An elementary treatise on mechanics

Stephen Parkinson - 1874 - 436 pages
...angles which successive portions of the string make with the vertical are in arithmetic progression. them at the same distance from each of the given points....a with the horizon, prove that the tension of each is = -^ — cosec a ; a being the distance between the points. Wa 11. Strings are fixed to any number...
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A Treatise on Analytical Statics with Numerous Examples

Isaac Todhunter - Statics - 1874 - 400 pages
...the tension at the highest point is three times that at the lowest. 30. Two strings without weight of the same length have each of their ends fixed at...horizontal plane. A smooth sphere of radius r and weight IF is supported upon them at the same distance from each of the given points. If the plane in which...
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An Elementary Treatise on Mechanics: For the Use of the Junior Classes at ...

S. Parkinson - Mechanics - 1874 - 420 pages
...fixed at each of two points in the same horizontal plane. A smooth sphere of radius r and weight TFis supported upon them at the same distance from each...in which either string lies makes an angle a with Wa the horizon, prove that the tension of each is = -^ — cosec a ; a being the distance between the...
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An elementary treatise on mechanics

Stephen Parkinson - 1881 - 440 pages
...angles which successive portions of the string make with the vertical are in arithmetic progression. 10. Two strings of the same length have each of their...the plane in which either string lies makes an angle at with Wa the horizon, prove that the tension of each is = —— cosec a; a being the distance between...
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A Treatise on Analytical Statics with Numerous Examples

Isaac Todhunter - Statics - 1887 - 384 pages
...points, both lying on the production of a horizontal diameter of the sphere. If the plane in which each string lies makes an angle a with the horizon, prove that the tension of each is Wa -JT— cosec a ; a being the distance between the points. 31. A uniform heavy chain hangs over...
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Theoretical Mechanics: An Elementary Treatise

William Woolsey Johnson - Mechanics - 1901 - 484 pages
...same length has one end fastened to each of two points, whose distance is horizontal and equal to a. A smooth sphere of radius r and weight W is supported upon them, the plane of each string making the angle a with the vertical. Find the tension of either string. Wa...
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