Mechanics: The Science of MachineryBond, A. Russell (Alexander Russell)
History
Mechanics: The Science of Machinery
Bond, A. Russell (Alexander Russell)
Machinery; Mechanical engineering; Mechanics
A pulley is merely a modification of the wheel. Figure 15 shows how it
may be arranged to correspond to the three orders of simple levers.
If the pulley axis is fixed, as in the first order, the effort and
weight arms are equal and hence balanced. In the second order the
wheel is bodily movable, hence one pound will raise two pounds of
weight because the power arm is twice as long as the weight arm, while
in the third order it takes two pounds of lift to raise one pound of
weight. There is no end of possible combinations of pulleys which will
multiply power in the same way that bar levers do when compounded. A
common arrangement of block and tackle is given in Figure 16. There is
a four-sheave pulley block above and a three-sheave block below, but
in order to trace the rope clearly the pulley wheels or sheaves are
represented as of different diameters. The arrangement consists of a
series of levers of the first order in the upper pulley block coupled
to a series of levers of the second order in the lower block. To find
the weight that a given power will lift, multiply the effort by the
number of strands of rope that are supporting the weight. In this case
there are seven such strands, not counting the strand E, to which the
effort or pull is applied. This means that a pull of a hundred pounds
at E will lift 700 pounds at W. Of course a pull of seven feet at E
will raise the weight only one foot.
[Illustration: FIG. 17.--INCLINED PLANE WITH EFFORT PARALLEL TO THE
INCLINED FACE]
THE INCLINED PLANE AND ITS FAMILY
The inclined plane constitutes a second broad classification of machine
elements. The wedge, the screw, the cam, and the eccentric, all belong
to the family of the inclined plane.
[Illustration: FIG. 18.--INCLINED PLANE WITH EFFORT PARALLEL TO THE
BASE]
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