Bicycle Wheel

For much of the remainder of the chapter, we will use a bicycle wheel, often weighted with wire wound around the rim, to illustrate various phenomena of rotational motion. Conceptually we can think of the bicycle wheel as a collection of masses on the ends of massless rods as shown in Figure (2). The massless rods form the spokes of the wheel, and we can think of the masses m as fusing together to form the wheel.
When forming a wheel, all the masses have the same radius r, same angular velocity ω and same angular acceleration α . If we choose one point on the wheel from which to measure the angular distance θ, then as far as angular motion is concerned, it does not make any difference whether we are discussing the mass on the end of a rod shown in Figure (1) or the bicycle wheel shown in Figure (2). Which model we use depends upon which provides a clearer insight into the phenomena being discussed.

Figure 1: Mass rotating on the end of a massless stick.

Figure 2: Bicycle wheel as a collection of masses on the end of massless rods.

مواضيع ذات صلة

The Doppler effect

Finding the “apparent” motion

Series and parallel impedances

Analogs in physics

Oscillations in linear systems

Damped oscillations

The energy of an oscillator

The forced oscillator with damping

Complex numbers and harmonic motion

Forced oscillations

Initial conditions for Harmonic motion and circular motion

Harmonic motion and circular motion