[決賽] 機械 [Final round] Mechanics

Big Concept: Mechanics Topic: Simple Harmonic Motion Bloom's Taxonomy: Create, Evaluate, Analyze, Apply Learning Goal: Teach students to realize that whenever any stable system is disturbed from its equilibrium, a restoring force can occur, and the resulting motion is almost always waves and vibrations. Train students how to identify a vibration system and translate it into a mathematical description, solve the mathematical SHM equations, and use that solution to predict what will happen of the vibration. Students learn to master the scientific method and problem polving skills. Key Learning Points: Students can define simple harmonic motion and learn that the restoring force is directly proportional to the object's displacement from equilibrium and is always directed towards the equilibrium position. Students can find the restoring force F=-kx and the acceleration a=-\omega^2x due to the F. Know that the displacement is zero at the equilibrium position where the speed is maximum. The maximum displacement (amplitude) occurs at velocity and kinetic energy are zero, while the elastic potential energy is maximum.Students need to understand that for small angles (typically less than 15 degrees), \sin{\left(\theta\right)} is approximately equal to \theta when measured in radians. Students can use radians (instead of degree) when solving simple harmonic motion equations.