对单摆运动状态变化快慢的研究

Study on the change speed of simple pendulum motion state

通过应用大学物理知识中的向心加速度和切向加速度,可以了解单摆在任意位置速度大小和方向变化快慢的情况.使用Excel做出了单摆运动四分之一过程中速率、切向加速度、法向加速度和加速度的数值表和图像,对物体运动状态的变化快慢进行了详细研究.摆球速率的数值在单摆运动过程中随偏角变化而变化,时而增大,时而减小;法向加速度和切向加速度的数值在单摆运动过程中也随偏角变化而变化,但两者变化的情况刚好相反,法向加速度数值增大时切向加速度数值减小;合加速度的大小不是恒定值,从理论上可以得出摆球加速度a取最极值的角坐标为θ=0,θ=cos^(-1)(4/3cosθ_0).

By applying the centripetal acceleration and tangential acceleration of the university physics knowledge,can understand simple pendulum velocity at any position and direction change fast.Use Excel has made the simple pendulum movement rate in the process of a quarter,the tangential acceleration,normal acceleration and numerical tables and images,and acceleration of the changing speed of the object motion state have been studied in detail.Swing the ball rate values in the process of simple pendulum movement changes over angle,from time to time, and decreased.The normal and tangential acceleration value in the process of simple pendulum movement also changes over angle,but the change of the contrary,the normal acceleration value increases when the tangential acceleration value decreased.The size of the acceleration is not constant value and acceleration can be obtained theoretically put the ball,take the most extreme angular coordinates to θ=0,θ=cos^（-1）（4/3cosθ_0）.