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" Hence we see that the coefficient of friction is equal to the tangent of the angle of friction. "
Mechanics and Hydrostatics for Beginners - Σελίδα 110
των Sidney Luxton Loney - 1907 - 290 σελίδες
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Exercises on mechanics and natural philosophy; or, An easy introduction to ...

Thomas Tate (mathematical master.) - 1846 - 156 σελίδες
...in this case, therefore, we have, / P cos a = P sin a ; y=««jL= tana. " cos a e This result shows that the coefficient of friction is equal to the tangent of the limiting angle of resistance. If the pressure P, he applied within this angle, then no motion can take...

Exercises on Mechanics and Natural Philosophy, Or, An Easy Introduction to ...

Thomas Tate - 1853 - 180 σελίδες
...this case, therefore, we have, f P cos a = P sin a ; ,'.f= = tan a. j, sin a J cos a This result shows that the coefficient of friction is equal to the tangent of the limiting angle of resistance. If the pressure P be applied within this angle, then no motion can take...

The Principles of Mechanical Philosophy Applied to Industrial Mechanics ...

Thomas Tate - 1853 - 396 σελίδες
...experiment for different rubbing surfaces (See "Moseley's Engineering," p. 149.). This result shows that the coefficient of friction is equal to the tangent of the limiting angle of resistance. If the pressure P be applied within this angle, then no motion can take...

Mechanics for Beginners: With Numerous Examples

Isaac Todhunter - 1867 - 372 σελίδες
...down the plane; the value of -5 in this state is by our definition the coefficient of friction : so that the coefficient of friction is equal to the tangent of the inclination of the plane when the body is just about to slide. faces. The inclination of the plane...

Mechanics for beginners

Isaac Todhunter - 1867 - 368 σελίδες
...down the plane; the value of -^ in this state is by our definition the coefficient of friction : so that the coefficient of friction is equal to the tangent of the inclination of the plane when the body is just about to slide. faces. The inclination of the plane...

The Principles of Dynamics. An Elementary Text-book, Etc

Richard Wormell - 1876 - 282 σελίδες
...plane will support the body, is termed the limiting angle of repose ; hence, the last equation states that the co-efficient of friction is equal to the tangent of the limiting angle of repose. If the body move through a space s in the direction of friction, the work...

Questions and Exercises on Stewart's Lessons in Elementary Physics

George Anthony Hill - 1880 - 204 σελίδες
...end on a rough horizontal floor and the other end resting against a rough vertical wall 1 371. Prove that the coefficient of friction is equal to the tangent of the angle of friction (or to the ratio of the height to the base of an inclined plane the angle of inclination of which is...

An elementary text-book of mechanics (kinematics and dynamics).

Joshua Joseph J. Doherty - 1881 - 240 σελίδες
...equation, F = ^R. 309. Relation between the Coefficient of Friction and the Angle of Friction. — The coefficient of friction is equal to the tangent of the angle of friction. Let PO be a pressure acting at an obliquity equal to the angle of friction ; then motion is on the...

A Treatise on Elementary Statics

John Greaves - 1888 - 302 σελίδες
...contact is termed the angle of friction, provided the limiting friction is exerted. Hence (Art. 105) the coefficient of friction is equal to the tangent of the angle of friction. The coefficient of dynamical friction is the ratio of the friction to the normal pressure when motion...

The Elements of Statics and Dynamics: Elements of statics

Sidney Luxton Loney - 1891 - 318 σελίδες
...cos X = R, and £ sin X = /uK Hence, by squaring and adding, we have and, by division, tan X = /n. Hence we see that the coefficient of friction is equal to the tangent of the angle of friction. 183. Since the greatest value of the friction is /iR, it follows that the greatest angle which the...




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