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老师在课堂上用实验演示了弹簧振子做简谐运动的周期 T 与振幅 A 无关,而取决于振子质量 m 和劲度系数 k.为了便于记忆,老师给出了它的周期公式 T=2π m/k~(1/2).这个公式是教材中没有的,老师也没有加以证明.我想,能否利用我所学的知识证明它呢?我头脑一下子兴奋起来了,课后就开始着手去证明了.在简谐运动过程中,弹簧的弹力是变化的,要
In the classroom, the teacher used an experiment to demonstrate that the period T of the simple oscillatory motion of the spring oscillator has nothing to do with the amplitude A, but depends on the mass m of the oscillator and the stiffness coefficient k. In order to facilitate memory, the teacher gives its periodic formula T=2π m /k~(1/2). This formula is not available in the textbook and the teacher has not proved it. I think, can I prove it using the knowledge I have learned? My head is excited and it starts after class Going to prove that the elasticity of the spring is changing during the harmonic motion.