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" There is an equilibrium upon the wheel and axle when the power is to the weight as the radius of the axle to the radius of the wheel. "
The mechanical Euclid, containing the elements of mechanics and hydrostatics - Σελίδα 47
των William Whewell - 1837
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Mechanics required for the Additional Subjects for Honours at the Previous ...

James McDowell - 1867 - 120 σελίδες
...radius of the axle is to the radius of the wheel. The converse is manifestly true, namely, TfPbe to W as the radius of the axle to the radius of the wheel, there will be equilibrium. For P and W are two parallel forces, and therefore their resultant will...

Elementary Treatise on Mechanics: For the Use of Colleges and Schools of Science

William Guy Peck - 1870 - 322 σελίδες
...of equilibrium (Art. 41), Pr = Rr', OT,P:R::r':r.... (39) 'That is, the power is to the resistance, as the radius of the axle, to the radius of the wheel. By suitably varying the dimensions of the wheel and axle, any amount of mechanical advantage may be...

An Introduction to Natural Philosophy: Designed as a Text-book for the Use ...

Denison Olmsted - 1871 - 466 σελίδες
...distance, (,' D or CB, the same as before. In general, the law of equilibrium for this machine is, The power is to the weight as the radius of the axle to the radius of the wheel. If the rope on the wheel, being fastened at A (Fig. 87) is drawn by the side of the wheel, as A P',...

An Introduction to Natural Philosophy: Designed as a Text-book for the Use ...

Denison Olmsted - 1871 - 452 σελίδες
...distance, CD or CB, the same as before. In general, the law of equilibrium for this machine is, 75 TJie power is to the weight as the radius of the axle to the radius of the wheel. If the rope on the wheel, being fastened at A (Fig. 87) is drawn by the side of the wheel, as A P',...

An elementary treatise on statics

J W. Mulcaster - 1871 - 242 σελίδες
...CN=r=radius of axle. Therefore, taking moments about C, PxR=Wxr; .-. ^=J; .-. there will be equilibrium when the power is to the weight as the radius of the axle is to the radius of the wheel. When the thickness of the rope is considerable, it must he taken into...

Notes of a Course of Nineteen Lectures on Natural Philosophy Delivered at ...

George Farrer Rodwell - 1873 - 192 σελίδες
...circumference of the axle, and the power to the circumference of the wheel. The system is in equilibrium when the power is to the weight as the radius of the axle to the radius of the wheel. Thus if P = the power, W = the weight, r the radius of the wheel, and r' the radius of the axle —...

Natural philosophy. Mechanics, Τόμος 1

J Alfred Skertchly - 1873 - 184 σελίδες
...acts at B, the extremity of the shorter arm B F. Consequently, P : W : : AF : B F. In other words, the power is to the weight as the radius of the axle is to the radius of the wheel. Virtual Velocity.— It is easy to perceive that the power descends...

The Science and Art of Teaching: Or, The Principles and Practice of Education

George Victor Le Vaux - 1875 - 324 σελίδες
...multiplied by 2 multiplied by 3.1416: — Thus, P : W: : Diff. : U 2x3.1416. The Endless Screw. — The power is to the weight as the radius of the axle is to the product of the number of teeth in wheel, multiplied by the length of the winch : — Thus,...

A Practical Business Arithmetic ...

Lorenzo Fairbanks - 1875 - 472 σελίδες
...wound about a cylinder or roller, moved by a crank, shifting levers, or similar means. -PRINCIPLE. — The power is to the weight as the radius of the axle is to the radius of the wheel. EXAMPLES. 1. The diameter of a wheel is 4 feet, and of its axle 8 inches...

Mechanics for Beginners: With Numerous Examples

Isaac Todhunter - 1878 - 442 σελίδες
...machine round the axis in opposite directions. 182. When there is equilibrium on the Wheel and Axle, the Power is to the Weight as the radius of the Axle is to the radius of the Wheel. 119 It may be assumed, that the effects of the Power and the Weight...




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