...97, 98. When the direction of the power is parallel to the plane, equilibrium exists, when the power is to the weight as the height of the plane to its length, or as the sine of the plane's inclination to the radius. If the direction ofthe power is parallel...

...that is, -.I'lu»i the direction of the power is parallel to the base of the inclined plane, the power is to the weight as the height of the plane to its base. From the proportion 9 : p : : sin ABG : cos A'Fq, we infer, as a general conclusion, that so much less...

...power applied at P, and acting parallel to the plane. Then an equilibrium is produced, when the power is to the weight, as the height of the plane to its length. 162. The inclined plane becomes a mechanical power in consequence of its supporting a part...

...sin. DWE :sin.WDE. 130. In the inclined plane, when the power acts PARALLEL TO THE PLANE, 1. The power is to the weight, as the height of the plane to its length; 2. The power is to the pressure on the plane, as the height of the plane to its base; 3. The...

...DWE : sin. WDE. 130. In the inclined plane, when the power acts PARALLEL TO THE PLANE, 1. The power is to the weight as the height of the plane to its length; 2. The power is to the pressure on the plane, as tlie height of the plane to its base; 3. The...

...power applied at P, and acting parallel to the plane. Then an equilibrium is produced, when the power is to the weight, as the height of the plane to its length. 162. The inclined plane becomes a mechanical power K consequence of its supporting a part of...

...equal to c, therefore the triangles are similar, and WP is to PE as AC to AB, that is to say, the power is to the weight as the height of the plane to its length. If the body was supported by a power in the direction WF, parallel to the base of the plane,...

...similar, and we have the proportions hi : eh : : CB : AC, or P : W : : CB : AC. That is, The poicer is to the weight as the height of the plane to its length. If, therefore, the length be twenty feet and the height ten, the power will be one half of...

...the force, P, required to sustain BC the weight, W, will be P — W tang. BAG =W tang. /3 = W-TJT, or the force is to the weight as the height of the...smaller with respect to the base, BA ; when, as in fig. 45, BC = AB, or BAG — 45°, then P^W, or the power is equal to the veight. Finally, if the height,...

...^n-9 1848. (-4). When a weight is supported on a smooth inclined plane by a force along the plane, the force is to the weight as the height of the plane is to its length. (B}. If the roughness of a plane, which is inclined to the horizon at a known angle,...