Elements of Mechanics Including Kinematics Kinetics And Statics With Applicati
Elements of Mechanics Including Kinematics Kinetics And Statics With Applicati
T W Thomas Wallace Wright
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75. Show that the time taken by a body to slide down this plane is twice what ic would be if the plane were smooth. "^ 7. A body is projected up a rough plane inclined at an angle 6 to the horizon. If t^ is the time of ascending and t^ the time of descending, show that {fr^ + t;) cot 8 = {t; - t:) cot 0, where is the angle of friction. ;^ 8. A train of 100 tons (excluding engine) runs up a 1^ grade with an acceleration of 1 ft/sec\ If the friction is 10 pounds per ton, find the pull on the draw...bar between engine and train. Ans. 4f tons. §181] BELT FRlCTION^. 219 181. Belt Friction. — This is an interesting and important a})plication of the preceding principles. Consider a belt or rope passing over (or around) a cyFindrical block securely fas- tened, and let P, , Q^ denote the forces at the ends of the belt. Suppose P, to be just on the point of overcoming Q^, or that the belt is moving with uniform velocity. The forces acting on the belt, its weight being neglected, are P, , (J, , the reaction of the cylinder, and the friction of the cylinder.
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