用单摆测重力加速度是中学乃至大学的一个基本力学实验,也是测量重力加速度常用的方法之一。本文希望通过对单摆力学模型的讨论,给出使用单摆模型测量结果的可靠性和对结果的修正。使得我们对单摆力学模型有一个更深入更全面的理解。 理想单摆是长为l的悬线末端有一个质量为M的质点,在不计摆线质量,不计空气阻力和悬点摩擦阻力的条件下作小角度θ(3°以内)的摆动。其动力学方程是 Using a single pendulum to measure the acceleration of gravity is a basic mechanical experiment in middle schools and even universities. It is also one of the commonly used methods for measuring the acceleration of gravity. In this paper, we hope that through the discussion of the single pendulum mechanical model, the reliability of the measurement results using a single pendulum model and the correction of the results are given. Let us have a more in-depth and comprehensive understanding of the single pendulum mechanical model. The ideal single pendulum is a particle with a mass of M at the end of the length of the suspension line l. The swing of the small angle θ (within 3°) is performed without considering the mass of the cycloid and the air resistance and the drag resistance of the suspension point. The kinetic equation is