Mechanics for beginners |
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... Circle ........................ 312 XV . Motion in a Conic Section round a focus 324 XVI . Motion in an ellipse round the centre 331 Miscellaneous Examples ............... .. Answers ...... 335 339 MECHANICS FOR BEGINNERS . I ...
... Circle ........................ 312 XV . Motion in a Conic Section round a focus 324 XVI . Motion in an ellipse round the centre 331 Miscellaneous Examples ............... .. Answers ...... 335 339 MECHANICS FOR BEGINNERS . I ...
Page 23
... circle . III . Forces in one plane acting on a particle . 50. We shall now shew how to determine the resultant of any number of forces in one plane acting on a particle ; we have already briefly noticed this subject : see Art . 40 . 51 ...
... circle . III . Forces in one plane acting on a particle . 50. We shall now shew how to determine the resultant of any number of forces in one plane acting on a particle ; we have already briefly noticed this subject : see Art . 40 . 51 ...
Page 29
... circle , drawn from a point on the circumference at right angles to each other : shew that the resultant is represented in magnitude and direction by the diameter which passes through the point . 10. Eight points are taken on the ...
... circle , drawn from a point on the circumference at right angles to each other : shew that the resultant is represented in magnitude and direction by the diameter which passes through the point . 10. Eight points are taken on the ...
Page 42
... circle ; QA and QB are any two chords at right angles to each other , on opposite sides of QP : if QA and QB denote forces , shew that the difference of their moments with respect to P is constant . 2. If two or more forces act in one ...
... circle ; QA and QB are any two chords at right angles to each other , on opposite sides of QP : if QA and QB denote forces , shew that the difference of their moments with respect to P is constant . 2. If two or more forces act in one ...
Page 49
... circle inscribed in the triangle . The algebraical sum of the moments round the centre of the inscribed circle must vanish ; see Art . 85 . Let r denote the radius of the inscribed circle , then Pr + Qr = Rr ; therefore R = P + Q . This ...
... circle inscribed in the triangle . The algebraical sum of the moments round the centre of the inscribed circle must vanish ; see Art . 85 . Let r denote the radius of the inscribed circle , then Pr + Qr = Rr ; therefore R = P + Q . This ...
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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.