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" A body is supported on a rough inclined plane by a force acting along it. If the least magnitude of the force, when the plane is inclined at an angle a to the horizon, be equal to the greatest magnitude, when the plane is inclined at an angle /3, show... "
A Treatise on Elementary Statics - Page 185
by John Greaves - 1888 - 274 pages
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A Collection of Problems in Illustration of the Principles of Elementary ...

William Walton - Mechanics - 1858 - 294 pages
...a + sin a) W. But, since the body just rests on the plane without support, /*. = tan a : hence (2) A body is supported on a rough inclined plane by a force acting along the plane : supposing the greatest magnitude of the force to be double the least magnitude, to determine...
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Annual Register of the United States Naval Academy, Annapolis, Md, Volumes 25-32

United States Naval Academy - 1874 - 888 pages
...centre of gravity of the segment of a sphere in :• г.its altitude aud the radius of its base. 4. A body is supported on a rough inclined plane by a force acting along thr • -• supposing the greatest magnitude of the force to be double the least magnitud-, : •...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...that can be placed at one of the corners without upsetting the table. 10. State the laws of Friction. A body is supported on a rough inclined plane by a force acting along the plane. If the greatest magnitude of the force when the plane is inclined at the angle a to the...
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An elementary treatise on mechanics

Isaac Warren - Mechanics - 1889 - 160 pages
...whose inclination to the horizon is 60°, being given the coefficient of friction = 1. Ans. Pm W^l. 8. A body is supported on a rough inclined plane by a force acting along the plane. If the greatest magnitude of the force when the plane is inclined at the angle a to the...
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An Elementary Treatise on the Theoretical Mechanics

James Jeans - Mechanics, Analytic - 1907 - 388 pages
...sin (/S — e) a, ft being the angles of inclination of the planes, and e the angle of friction. 11. A body is supported on a rough inclined plane by a...magnitude, when the plane is inclined at an angle /3, show that the angle of friction is J(a— /3). 12. Two equal rings of weight W are movable along a...
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An Elementary Treatise on Theoretical Mechanics

James Jeans - Mechanics, Analytic - 1907 - 375 pages
...sin (/3 — e) a, /3 being the angles of inclination of the planes, and e the angle of friction. 11. A body is supported on a rough inclined plane by a...magnitude, when the plane is inclined at an angle £, show that the angle of friction is \(a — £). 12. Two equal rings of weight W are movable along...
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An Elementary Treatise on Theoretical Mechanics

James Jeans - Mechanics, Analytic - 1907 - 412 pages
...e)sin(/3 — e) a, ft being the angles of inclination of the planes, and e the angle of friction. 11. A body is supported on a rough inclined plane by a...magnitude, when the plane is inclined at an angle ft, show that the angle of friction is $ (a — /3). 12. Two equal rings of weight W are movable along...
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Theoretical Mechanics

Percey Franklyn Smith, William Raymond Longley - Mechanics, Analytic - 1910 - 312 pages
...on the point of moving if the coefficient of friction between each plane and weight be 1 2+ V3' 13. A body is supported on a rough inclined plane by a...greatest magnitude when the plane is inclined at an angle ft, show that the angle of friction is J(«— p). 14. A cubical block rests on a rough plank with...
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Statics and the Dynamics of a Particle

William Duncan MacMillan - Dynamics of a particle - 1927 - 460 pages
...to wi without disturbing the equilibrium is sin (a + 0) sin 2e sin (a — c) sin (0 — «) '' 13. A body is supported on a rough inclined plane by a...If the least magnitude of the force, when the plane has an angle a with the horizontal, is equal to the greatest magnitude when the plane is inclined at...
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An Elementary Treatise on Theoretical Mechanics

James Jeans - Mechanics, Analytic - 1907 - 390 pages
...(,8 — e) a, /3 being the angles of inclination of the planes, and e the angle of friction. -• 11. A body is supported on a rough inclined plane by a...an angle a to the horizon, be equal to the greatest magnitude^when the plane is inclined at an angle /3, show that the angle of friction is J(a— /3)....
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