How these principles apply to the act of balancing a bicycle can be readily explained by the aid of the accompanying figures.

Suppose the rider, shown in Figure 1, is required to keep the wheel on the straight line A. It is evident, then, that when he begins to incline to one side, as shown by the dotted lines in Figure 2, he can only restore the balance by throwing the body in the opposite direction; and that he must throw it far enough beyond the upright line A B to equalize the weight on both sides. This at once shows that if he should allow himself to tip over as far as shown in the figure, he could not regain an equilibrium; as it would be impossible to throw the body far enough in the the opposite direction for that purpose. This fact alone shows that it would be necessary to act with great promptness, and endeavour to restore the balance just as soon as the inclination to one side became noticeable. In the effort to regain the balance by throwing the body toward the opposite side to that to which the wheel was tipping, it would be more than probable that the weight would be thrown too far, and this would render necessary a quick movement in the contrary direction. The effect of all this would be that the graceful motion of bicycle riders would be converted into a series of contortions that would resemble the performance of a professional india rubber man. And even with all these ungainly movements the balance could not be maintained for more than a few seconds, except by one who had acquired the art by long practice. The most difficult thing a bicycle rider can do, outside of trick riding, is to ride a chalk line. If any one doubts this let him try to follow a wagon wheel track, and he will very soon realize that it is not an easy thing to do.

From the foregoing we can see that the speed of the bicycle will not keep it from tipping over if the wheel is kept on a straight line. The speed prevents it from falling over as easily as it would if standing still, and that is all it does do. The action of the speed is to cause the wheel to tip over more slowly. This gives the rider more of a chance to keep in balance, but if the wheel is not turned from the straight line the equilibrium must be maintained by throwing the weight of the body to one side or the other, and to do this in a graceful and successful manner would require an amount of skill that could only be acquired after long practice.

In the actual riding of a bicycle the balance is maintained by turning the wheel from side to side. This can be easily understood by reference to Figure 3, in which the rider is shown inclined to the same angle as is shown by the dotted outline in Figure 2. By turning the front wheel so as to steer slightly in the same direction in which the body inclines, the position shown by the dotted lines Is soon attained. In this position the wheel is on the line C D, which is directly under the body, To balance in this way it is not necessary to move the body at all, because the result is accomplished by steering the wheel so as to keep it under the centre of gravity, while in the former case the centre of gravity had to be kept over the wheel, and this could only be accomplished by throwing the weight of the body from side to side.

When a rider begins to lean to one side the turning of the wheel in the same direction does not check his side motion. He continues to fall over, but he steers the wheel so that it moves sidewise faster than his body does, and the result is that it very soon reaches a point when it is under the centre of gravity. If a close observation of the movement of a bicyclist could be made it would be found that the upper Part of the body moves along in a line that sways from one side to the other to a slight extent, and that the path of the wheel upon the ground follows the same curve motion, but goes further toward each side than the upper part of the body, The reason for this is that when the body begins to tip to one side the wheel must be steered in the same direction, not only until it runs directly under the centre of gravity, but enough further to check the side swing which the body has acquired in the act of tipping. If the wheel does not run far enough out of line to check the side swing the balance could not be restored.

While the actual balancing is effected by deviating the course of the wheel from side to side, the headway assists, as already stated, in maintaining the equilibrium. The reason for this is that the momentum when the wheel is in motion acts against the force of gravity, and consequently the net force that tends to push the weight to the ground is less. This causes it to drop more slowly and gives the rider more time in which to regain his balance. To illustrate this more clearly, suppose we consider an ordinary boy’s hoop. if you try to balance it while standing still you will find It to be impossible. As soon as it is released it will begin to fall, and will strike the ground flat on its side in short order. If, instead of trying to balance the hoop standing still, you roll it along, the action will be very different. At first the hoop will roll in a straight line, but almost immediately it will begin to follow a curved path, which will grow smaller and smaller until finally it will course around in an apparently circular path, which will diminish in size as the headway dies out. The explanation of this action is that just as soon as the hoop gets out of balance the force of gravity begins to draw the heavy side down to the ground, just as it would if the hoop were not in motion. But the momentum of the hoop, acquired on account of its velocity, tends to keep it moving in a straight line; therefore, there are two forces acting against each other, and the result is that the hoop leans over and begins to run in a curved path. This curve grows smaller, because the force of gravity remains unchanged, while the momentum gradually dies out; consequently as the former slowly gains the mastery over the latter the weight is drawn nearer and nearer to the ground. The curve in which the hoop rolls becomes smaller and smaller, because the angle at which it inclines increases as the headway dies out. Therefore, the part that comes in contact with the ground keeps shifting away from the periphery, which would trace a straight line, to the side, which would trace a circle equal to the diameter of the hoop. The path of the hoop, therefore, begins with a straight line and then turns into a spiral, which grows smaller with each turn, and finally ends in a circle not much larger than the hoop itself. Any one who is at all observing can notice that the time required for the hoop that is rolled along to drop is much longer than that for the one that is allowed to fall over while standing still. The difference in the time in the two cases will depend wholly upon the velocity, If the hoop is rolled off very gently it will drop on its side very soon, but if it is given a good start it will run around for some time. This is simply because in the latter case the headway is much greater, and as this counteracts the effect of the force of gravity, the latter cannot succeed in drawing the hoop down to the ground until the force of the headway has died out.

What is true of a hoop is true of a bicycle, and as ‘a high velocity keeps the former upright for a greater length of time than a slow motion, so it does the latter. This Is the reason why it is easier to keep a wheel in balance when moving fast than when running slow.

At a sufficiently high velocity a bicycle could be kept In the upright position for a considerable length of time without making any effort to balance it by steering the wheel sideways, but at a slow speed this could not be done. One of the most difficult feats of balancing that can be done on a wheel is to keep it upright while standing still, with both wheels in line.

Those who have seen professional trick riders must have noticed that whenever they perform on a bicycle that is not in motion, the front wheel is not in line with the hind one, but is turned at a considerable angle. This greatly simplifies the act of balancing. It helps In two ways; one is that when the front wheel is turned around at an angle it increases the width of the base upon which the bicycle rests, for the simple reason that the length of ground covered by the wheel lengthwise is much more than sidewise. The principal advantage of turning the wheel around, however, is that when in that position it can be rolled back and forth slightly as occasion may require to maintain the balance. If the rider feels that he is beginning to tip over to the right, a very slight pressure on one of the pedals will move the wheels sufficiently to send the front one far enough to the right to check the tipping-over tendency. If the weight inclines to the left, a small movement of the corresponding pedal will restore the equilibrium. In this way the bicycle can be kept balanced for a long time without any apparent effort but a close observer will notice that the wheels are continually moving either in one direction or the other.

Published: July 5, 1896 Copyright© The New York Times