Snake-shaped pendulum (simple pendulum) courseware

 The oscillation period of a pendulum is related to its length. By using a group of pendulums with different lengths, all with their lower ends at the same horizontal height and arranged at equal intervals in a plane, a barrier is used to give all the pendulums the same initial conditions to start swinging. Observation shows that the relative positions of the pendulums' balls are constantly changing, sometimes resembling a dancing snake, and sometimes a pair of snakes playing, seemingly complex and intricate movements. In reality, these movements are regular and repeatable. After observing this, one is amazed by the phenomenon and deeply reflects on the ingenious design.

The amplitude, frequency (or cycle), and initial phase are the three characteristic quantities that reflect the characteristics of vibration. The oscillation period of a simple pendulum is related to the pendulum length. After observing the phenomenon carefully, since it is a repetitive motion, it can be found that the phase relationship between adjacent pendulums. By analyzing the demonstration instrument's manufacturing principle, which is the relationship between the lengths of these pendulums, it can inspire students to fully utilize the application of vibration phenomena in real life. This application is not limited to the form of sine and cosine functions in time and space, but also includes seemingly complex but actually regular and repetitive motions. This can cultivate students' courage to explore and innovative thinking abilities.

Experimental Purpose:

1. Use a snake-shaped pendulum demonstration to help students learn and master the three characteristic quantities of vibration and their applications.

2. By observing the unique regularity of the serpentine pendulum, help students deepen their understanding of the theory of resonance vibration;

Learn to analyze real-world problems by utilizing the knowledge you have learned, and experience the practical application of the content you have studied.

Main Experimental Contents and Requirements:

1. Let students observe the phenomenon, and then quantitatively study the relationship between the amplitudes, frequencies (or periods), and initial phases of the vibration factors in the snake-shaped pendulum based on the characteristics of the observed vibration phenomena.

2. Utilizing the theoretical knowledge of harmonic vibration, qualitatively analyze the unique laws of the snake-shaped pendulum, and analyze the manufacturing principles of the demonstration instrument.

Experimental mode or experimental teaching method:

Physics Theory Class with Classroom Demonstration

Application Effect:

Using simple experimental devices with convenient operations, clear and intuitive phenomena, and rich content, classroom demonstrations help students understand and learn about vibration. It greatly stimulates students' interest in learning and guides them to analyze problems using the knowledge they have learned, achieving excellent teaching effects. Student feedback and experiences are also included.