The sum of kinetic energy and potential energy is a constant constant, that is, the conservation of mechanical energy. Proof: The upward direction is the positive direction of the x-axis, and the equilibrium position O is the origin of the coordinate. When the weight is not hung at the lower end of the spring, the end point is at O1, OO1=x1, O2 is any position of the weight movement, OO2=x. At the equilibrium position O: kx1=mg. At O2, the particle is subject to The external force F=k(x1-x)-mg=kx1-kx-mg=-kx. Therefore, the vibration is a simple harmonic motion.
x is a rational number, and the above proof process form does not change regardless of whether the O2 point is below or above the coordinate origin O. It can be seen that as long as the equilibrium position is the zero potential energy reference point of the two potential energies, the total potential energy form is unchanged during the vibration process, and the mechanical energy is still conserved. It should be emphasized that when the spring vibrator is placed horizontally, 12kx2 refers to the elastic potential energy; when the spring vibrator is vertically hoisted, 12kx2 is the sum of the elastic potential energy and the gravitational potential energy.
When the spring oscillator vibrates on a frictionless ramp, its vibration is still a simple harmonic motion. The mechanical energy is conserved during the vibration process, and the proof is the same as above. Effective Ways to Integrate Three-Dimensional Objectives The High School Physics Curriculum aims to further improve students' scientific literacy. Students are trained in three aspects: knowledge and skills, processes and methods, emotional attitudes and values, laying the foundation for lifelong development. This issue is a good topic for students to learn independently and explore.
The process of deformation of the spring is a work of variable force. A = F_x_ = 12kxx = 12kx2, the result of the work makes its elastic potential change, this reasoning process, students are acceptable. After learning the chapter / simple harmonic movement 0 chapter, if the teacher can guide the students to complete the scientific inquiry process of this problem, not only the students can deeply understand the characteristics of the simple harmonic movement, but more importantly, through such a scientific inquiry process, they I learned how to analyze and judge the simple harmonic motion, and learned how to analyze the energy change. In other words, I touched the analogy, experienced the hardships and joys of exploring the laws of nature, and produced the will and attitude of actively cooperating with others, and developed the science of seeking truth from facts. Attitude and scientific spirit, thus achieving the integration of three-dimensional goals.
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