Bicycles & Tricycles: An Elementary Treatise on Their Design and Construction, with Examples and Tables

Capa
Longmans, Green, 1896 - 536 páginas
 

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Página 55 - To every action there is always an equal and contrary reaction ; or the mutual actions of any two bodies are always equal and oppositely directed.
Página 55 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it is compelled by force to change that state.
Página 44 - If three forces, acting at a point, be represented in magnitude and direction by the sides of a triangle taken in order, they will be in equilibrium...
Página 181 - From the above explanation of the balancing on a bicycle, it will be seen that the machine and rider are continually performing small oscillations sideways — the axis of oscillation being the line of contact with the ground — simultaneously with the forward motion. The bicyclist and his machine may thus be roughly compared to an inverted pendulum. The time of vibration of a simple pendulum is proportional to the square root of its length, a long pendulum vibrating more slowly than a short one....
Página 16 - OA, and at the same time a motion of translation represented in magnitude and direction by a right line OB, the resulting motion of translation is represented in magnitude and direction by the diagonal, OC, of the parallelogram determined by OA and OB.
Página 68 - From (23), the centrifugal pressure on the fixed axis of any rigid body is the same as if the whole mass were concentrated at the mass-centre G.
Página 18 - An is called the instantaneous centre of rotation of the wheel. The linear velocity of any point on the wheel is, by (3) (chap, ii.), equal to wr, where r is the distance of the point from the centre of rotation An.
Página 84 - ... not exceed a certain limit, when it is re- moved the bar recovers its original length. It is found experimentally that with nearly all bodies, metals especially, this increase in length, x, is proportional to the load, and to the original length of the bar, so that we may write or, p = x EI where E is a constant, the value of which depends on the nature of the material.
Página 65 - But from dynamics, it is known that this couple is equal to the product of the moment of inertia of the section times the angular acceleration.
Página 17 - The geometrical process used above is c called ' vector addition,' and is used in compounding any physical quantities that can be represented by, and are subject to the same laws as, vectors. Accelerations, forces acting at a point, rotations about intersecting axes, are treated in this way. In general, the sum of any number of vectors is obtained by placing at the final point of one the initial point of another, and so forming an unclosed irregular polygon ; the vector formed by joining the initial...

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