A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page x
... supported at a point . CHAPTER VII . EQUILIBRIUM OF A BODY ACTED ON BY THREE FORCES CHAPTER VIII . EQUILIBRIUM OF A SYSTEM OF BODIES CHAPTER IX . MECHANICAL POWERS I. Wheel and axle · II . Toothed wheels III . Single moveable pully IV ...
... supported at a point . CHAPTER VII . EQUILIBRIUM OF A BODY ACTED ON BY THREE FORCES CHAPTER VIII . EQUILIBRIUM OF A SYSTEM OF BODIES CHAPTER IX . MECHANICAL POWERS I. Wheel and axle · II . Toothed wheels III . Single moveable pully IV ...
Page 12
... supports a weight on an inclined plane : sup- posing the force to act parallel to the plane and to be equal to the pressure on the plane , to find the inclination of the plane to the horizon . Let P , fig . ( 11 ) , be the force , R the ...
... supports a weight on an inclined plane : sup- posing the force to act parallel to the plane and to be equal to the pressure on the plane , to find the inclination of the plane to the horizon . Let P , fig . ( 11 ) , be the force , R the ...
Page 17
... supported on an inclined plane , the in- clination of which to the horizon is 30 ° , first , by a power parallel to the plane , and , secondly , by a power parallel to the base : to compare the pressures on the plane in the two cases ...
... supported on an inclined plane , the in- clination of which to the horizon is 30 ° , first , by a power parallel to the plane , and , secondly , by a power parallel to the base : to compare the pressures on the plane in the two cases ...
Page 19
... supports a weight W : supposing R to be the pressure on the plane , to prove that W2 = P2 + PR + R2 . The reaction of .the inclined plane against the weight is equal to R , and the angle between this reaction and P's direc- tion is ...
... supports a weight W : supposing R to be the pressure on the plane , to prove that W2 = P2 + PR + R2 . The reaction of .the inclined plane against the weight is equal to R , and the angle between this reaction and P's direc- tion is ...
Page 29
... supporting weights P1 , P1⁄2 , P ̧ , P ̧ ; to prove that , if there is equilibrium , 27 PP PP - C1 - Let O , fig ( 29 ) , be the position of the particle ; C the centre of the square  ̧ : draw CM , OM , parallel to  ̧ ‚  ...
... supporting weights P1 , P1⁄2 , P ̧ , P ̧ ; to prove that , if there is equilibrium , 27 PP PP - C1 - Let O , fig ( 29 ) , be the position of the particle ; C the centre of the square  ̧ : draw CM , OM , parallel to  ̧ ‚  ...
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Common terms and phrases
body is projected centre of gravity chord coefficient of friction collision component cos² 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 sin² 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...
Page 257 - Progressive Exercises in Greek Tragic Senarii, followed by a Selection from the Greek Verses of Shrewsbury School, and prefaced by a short Account of the Iambic Metre and Style of Greek Tragedy. For the use of Schools and Private Students. Second Edition, altered and revised. 8vo. 8*.
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.