THE ANGLE OF FRICTION.

142. There is another mode of examining the action of friction besides

that we have been considering. The apparatus for this purpose is

shown in Fig. 33, in which B C represents the plank of pine we have

already used. It is now mounted so as to be capable of turning about

one end B; the end C is suspended from one hook of the chain from the

“_epicycloidal_” pulley-block E. This block is very convenient for the

purpose. By its means the inclination of the plank can be adjusted

with the greatest nicety, as the raising chain G is held in one hand

and the lowering chain F in the other. Another great convenience of

this block is that the load does not run down when the lifting chain

is left free. The plank is clamped to the hinge about which it turns.

The frames by which both the hinge and the block are supported are

weighted in order to secure steadiness. The inclination of the plane

is easily ascertained by measuring the difference in height of its two

ends above the floor, and then making a drawing on the proper scale.

The starting-screw D, whose use has been already mentioned, is also

fastened to the framework in the position shown in the figure.

143. Suppose the slide A be weighted and placed upon the inclined

plane B C; if the end C be only slightly elevated, the slide remains

at rest; the reason being that the friction between the slide and the

plane neutralizes the force of gravity. But suppose, by means of the

pulley-block, C be gradually raised; an elevation is at last reached at

which the slide starts off, and runs with an accelerating velocity to

the bottom of the plane. The angle of elevation of the plane when this

occurs is called the angle of statical friction.

144. The weights with which the slide was laden in these experiments

were 14 lbs., 56 lbs., and 112 lbs., and the results are given in Table

VII.

We see that a load of 56 lbs. started when the plane reached an

inclination of 20°·1 in the first series, and of 17°·2 in the second,

the mean value 18°·6 being given in the fifth column. These means

for the three different weights agree so closely that we assert the

remarkable law that _the angle of friction does not depend upon the

magnitude of the load_.

Experimental Mechanics A Course of Lectures Delivered at the Royal College of Science for Ireland · 第 49 / 171 题