Elements of Mechanics Including Kinematics Kinetics And Statics With Applicati

Cover 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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