 | John Playfair - Astronomy - 1812 - 344 pages
...horizontal, if the direction of the power be parallel to the plane, there will be an equilibrium when the power is to the resistance, as the height of the plane to its length, or as the sine of its inclination to the radius. 144. Universally there will be an equilibrium in the... | |
 | Edward Hughes - 1855 - 468 pages
...represent the power required for equilibrium ; so that, reasoning as in the last instance, we may find that the power is to the resistance as the height of the plane is to its base. Many cutting tools, such as the A Fig. 19. chisel, plane, &c., are constructed on this... | |
 | William Guy Peck - Mechanics - 1859 - 368 pages
...Substituting in Proportion ( 38 ), and reducing, we have, P : R :: BC : AC Fig. 74. (40.) That is, the power is to the resistance as the height of the plane is to its base. From the last proportion we have, TIC* P = R^, = .Btana. AC MECHANICS. EXAMPLES. 1.... | |
 | Joseph Allen Galbraith, Samuel Haughton - Mechanics - 1866 - 200 pages
...the plane, and therefore, by equation (7), Power x length of plane = Resistance x height of plane ; Or, The power is to the resistance as the height of the plane is to its length. — a. ED . 6. The Screw. — In the case of the screw it is evident that while the... | |
 | W. G. Willson - Dynamics - 1874 - 294 pages
...the plane is to its length. When the power acts parallel to the horizon 0 = - a ; hence P = W tan a or, the power is to the resistance as the height of the plane is to its base. Obs. — The student should work out these special cases directly, by the method of... | |
 | Peter Smith Michie - Mechanics, Analytic - 1887 - 406 pages
...the power acts parallel to the plane and upward, and we have . P . h -w = sltl ' = 7 ' (758) that is, the power is to the resistance as the height of the plane is to its length, and there is always a gain of power. When # = 360° — i the power acts horizontally,... | |
 | 1894 - 832 pages
...components. 3. A body is supported on a smooth inclined plane by a force parallel to the plane. Show that the power is to the resistance as the height of the plane is to its length. 4. A uniform bar 4 ft. long weighs 10 fts., and weights of 30 Ibs. and 40 Jbs. are... | |
 | McGill University - 1883 - 404 pages
...inches ? 3. In the Inclined Plane, if the Power be parallel to the length of the plane, prove that the Power is to the Resistance as the height of the plane to its length. 4. The arms of a false balance are to one another as 7 to 8, and the weight is put into one scale as... | |
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The resultant of two forces acting at right angles is double the lesser of the components ; find the angles it makes with the components. 3. A body is supported on a smooth inclined plane by a force parallel to the plane. Show that the power is to the... 