A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page 36
... rough inclined plane by a force acting along the plane : supposing the greatest magnitude of the force to be double the least magnitude , to determine the inclina- tion of the plane to the horizon . α Let W be the weight of the body , R ...
... rough inclined plane by a force acting along the plane : supposing the greatest magnitude of the force to be double the least magnitude , to determine the inclina- tion of the plane to the horizon . α Let W be the weight of the body , R ...
Page 37
... rough . Let W be the weight of the body , P the supporting force , R the normal reaction , AR the frictional reaction estimated up the plane ; also let a be the inclination of the plane , and e the incli- nation of P to the plane . Then ...
... rough . Let W be the weight of the body , P the supporting force , R the normal reaction , AR the frictional reaction estimated up the plane ; also let a be the inclination of the plane , and e the incli- nation of P to the plane . Then ...
Page 38
... rough plane , inclined to the horizon at an angle a : prove that , if the coefficient of friction be greater than sec a- tan a , it will be easier to lift the weight than to drag it up by means of a cord parallel to the plane . ( 7 ) If ...
... rough plane , inclined to the horizon at an angle a : prove that , if the coefficient of friction be greater than sec a- tan a , it will be easier to lift the weight than to drag it up by means of a cord parallel to the plane . ( 7 ) If ...
Page 39
... rough right - angled triangle stands on its hypote- nuse , and equal particles , connected by a fine string passing round a small smooth pully at the vertex , so rest on the sides that one is but just supported : after the string is cut ...
... rough right - angled triangle stands on its hypote- nuse , and equal particles , connected by a fine string passing round a small smooth pully at the vertex , so rest on the sides that one is but just supported : after the string is cut ...
Page 74
... rough rectangular board , so as to have the edges of its base parallel to those of the rectangle ; if the board be slowly inclined to the horizon , determine whether the box will slide down or topple over . The centre of gravity of the ...
... rough rectangular board , so as to have the edges of its base parallel to those of the rectangle ; if the board be slowly inclined to the horizon , determine whether the box will slide down or topple over . The centre of gravity of the ...
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Common terms and phrases
body is projected centre of gravity chord coefficient of friction collision component cosē cylinder denote described determine directrix distance equal forces equation feet find the position find the pressure fixed point forces act fulcrum given circle given point hence highest point horizontal plane impact impinges inclined plane intersection join latus rectum lever line of quickest lowest point magnitude and direction mass middle point motion moveable parabola parallel parallelogram particle pendulum perpendicular point of projection position of equilibrium pound weight pounds prove pully quickest descent radii radius ratio reaction respectively rest resultant right angles SECT shew sides sinē sliding smooth sphere straight line string passing supposing suspended tangent three forces uniform rod velocity of projection vertex vertical circle vertical plane wheel
Popular passages
Page 255 - Classics, so far as they have been published, will be adopted. These editions have taken their place amongst scholars as valuable contributions to the Classical Literature of this country, and are admitted to be good examples of the judicious and practical nature of English scholarship ; and as the editors have formed their texts from a careful examination of the best editions extant, it is believed that no texts better for general use can be found. The volumes will be well printed at the Cambridge...
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Page 141 - OUT of childhood into manhood Now had grown my Hiawatha, Skilled in all the craft of hunters, Learned in all the lore of old men, In all youthful sports and pastimes, In all manly arts and labors. Swift of foot was Hiawatha ; He could shoot an arrow from him, And run forward with such fleetness, That the arrow fell behind him...
Page 255 - THIS series is intended to supply for the use of Schools and Students cheap and accurate editions of the Classics, which shall be superior in mechanical execution to the small German editions now current in this country, and more convenient in form. The texts of the " Bibliotheca Classica" and " GrammarSchool Classics,'" so far as they have been published, will be adopted.