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" Q of similar material, resting on a double inclined plane, are connected by a fine string passing over the common vertex, and Q is on the point of motion down the plane. Prove that the... "
A Book of Mathematical Problems on Subjects Included in the Cambridge Course - Pàgina 260
per Joseph Wolstenholme - 1867 - 344 pàgines
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An Elementary Treatise on Mechanics for the Use of the Junior Classes at the ...

Stephen Parkinson - 1863 - 396 pàgines
...a fine string passing over the common vertex : Q is on the point of motion down the plane — shew that the weight which may be added to P without producing motion is p sin 2<ft sin (a + /?) sin (fi — $) sin (a — <£), a, /8 being the angles of inclination of the planes,...
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Treatise on Analytical Statics ...

Isaac Todhunter - 1866 - 386 pàgines
...by a fine string passing over the common vertex ; Q is on the point of motion down the plane, shew that the weight which may be added to P without producing motion is Psin 2<sin ( sin (/3 — <f>) sin (a — <£) ' a, /3 being the angles of inclination of the planes...
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Mathematical Problems on the First and Second Divisions of the Schedule of ...

Joseph Wolstenholme - 1878 - 538 pàgines
...limiting equilibrium is given by the equation where a = b tan ft, and t is the angle of friction.] 2290. Two weights P, Q, of similar material, resting on...the point of motion down the plane : prove that the greatest weight which can be added to P without disturbing the equilibrium is 7>sin2«sin(a + /3) sin...
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Theoretical Mechanics: An Elementary Treatise

William Woolsey Johnson - 1901 - 484 pàgines
...inclinations of the planes, and a the angle of friction ; Q is on the point of motion down the plane. Show that the weight which may be added to P without producing motion is sin 2 a sin (»/> -)- 6) sin (0 — a) sin (?/> — «)' 19. Denoting AG in Fig. 70 by a, and GB by...
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An Elementary Treatise on Theoretical Mechanics

James Jeans - 1907 - 378 pàgines
...will be turned is twice the angle of friction. 10. Two weights P, Q of similar material, resting on a double inclined plane, are connected by a fine string...the point of motion down the plane. Prove that the greatest weight which can be added to P without disturbing the equilibrium is P sin 2 e sin (a + /?)...
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An Elementary Treatise on Theoretical Mechanics

James Jeans - 1907 - 390 pàgines
...will be turned is twice the angle of friction. 10. Two weights P, Q of similar material, resting on a double inclined plane, are connected by a fine string...the point of motion down the plane. Prove that the greatest weight which can be added to P without disturbing the equilibrium is P sin 2 6 sin (tt + /3)...
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A Text Book of Theory of Machines

J. S. Brar, R. K. Bansal - 2004 - 1156 pàgines
...is given by P = W tan (u + <)>) where <|> = Angle of friction. 9. In the above question, if the body is on the point of motion down the plane, prove that the force P is given by P = W tan (a -()>). 1(1. Define statics and kinetic friction and state the laws...
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A Textbook of Engineering Mechanics

R.K. Bansal - 2005 - 688 pàgines
...P is given by P= Wtan(« + 4>) where i|> = Angle of friction. 9. In the above question, if the body is on the point of motion down the plane, prove that the force P is given by P= Wtan(ai|>). 10. A body of weight Wis placed on a rough inclined plane having...
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