Mechanics for beginners |
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Page
... give in the same manner the other cases of central forces which are contained in the first three sections of Newton's Principia . As the Chapters of the work are to a great extent independent of each other , it will be possible to vary ...
... give in the same manner the other cases of central forces which are contained in the first three sections of Newton's Principia . As the Chapters of the work are to a great extent independent of each other , it will be possible to vary ...
Page 2
... give the elements of Demonstrative Mechanics . We shall assume that the student is acquainted with Geometry as contained in Euclid , and with Algebra and Trigonometry so far as they are carried in the Treatises for Beginners . 8. There ...
... give the elements of Demonstrative Mechanics . We shall assume that the student is acquainted with Geometry as contained in Euclid , and with Algebra and Trigonometry so far as they are carried in the Treatises for Beginners . 8. There ...
Page 5
... the truth of which is to be assumed . 18. The following remarks will give a good idea of the amount of assumption involved in the axiom of the preced- ing Article . At the point B suppose we apply two forces Q INTRODUCTION . 5.
... the truth of which is to be assumed . 18. The following remarks will give a good idea of the amount of assumption involved in the axiom of the preced- ing Article . At the point B suppose we apply two forces Q INTRODUCTION . 5.
Page 11
... give due variety to the experiment ; and the general results afford sufficient evidence of the truth of the Parallelogram of Forces . The strings should be fine and very flexible in order to promote the success of the experiment ; and ...
... give due variety to the experiment ; and the general results afford sufficient evidence of the truth of the Parallelogram of Forces . The strings should be fine and very flexible in order to promote the success of the experiment ; and ...
Page 12
Isaac Todhunter. 30. We will now give the general expression for the resultant of two forces which act on a particle whatever be the angle between their directions . C D A Let AB represent a force P , and AC a force Q ; and let a denote ...
Isaac Todhunter. 30. We will now give the general expression for the resultant of two forces which act on a particle whatever be the angle between their directions . C D A Let AB represent a force P , and AC a force Q ; and let a denote ...
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Common terms and phrases
ABCD acceleration algebraical sum angular points axis balance beam bisects body or system centre of gravity circle coefficient of friction components conditions of equilibrium cos² couple cylinder denote described determine distance equi Euclid example feet find the centre fixed point fulcrum given heavy particles Hence horizontal plane impact inches inclined plane Law of Motion length line of action lower block magnitude and direction mechanical advantage middle point move moveable Pully P+Q+R parabola Parallelogram of Forces perpendicular point of application point of projection position Power preceding Article pressure proposition radius ratio Resolved displacement respectively rest right angles rigid body Screw shew single resultant smooth string which passes system of forces System of Pullies Take moments round tension three forces tion triangle turn round uniform vanishes velocity vertical weight Wheel and Axle
Popular passages
Page 327 - The squares of the periodic times are proportional to the cubes of the major axes of the orbits.
Page 295 - Change of motion is proportional to the impressed force, and takes place in the direction of the straight line in which the force acts.
Page 295 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.
Page 10 - ... is represented in magnitude and direction by that diagonal of the parallelogram which passes through the particle.
Page 237 - ... point, then the resultant velocity will be represented in magnitude and direction by the diagonal, drawn from that point, of the parallelogram constructed on the two straight lines as adjacent sides.
Page 134 - This proportion teaches us that, when in equilibrium, the power is to the weight as the height of the plane is to its length.
Page 96 - The straight lines which join the middle points of the opposite sides of any quadrilateral bisect each other...
Page 16 - If three forces acting on a particle keep it in equilibrium, each force is proportional to the sine of the angle between the directions of the other two.
Page 13 - Then it is obvious that the particle will be in equilibrium; for there is no reason why it should move in one direction rather than in another.
Page 290 - A ball is projected in a given direction within a fixed horizontal hoop, so as to go on rebounding from the surface of the hoop ; find the limit to which the velocity will approach, and shew that it attains this limit in a finite time, e being less than 1.