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对于单摆及单摆变形的复合摆在单一场或复合场中沿竖直平面内摆动过程中,广泛存在着求解速度最大位置的问题.现选一典型题目:如图1所示,三根长度均为 L 的轻杆构成一个正三角形支架,在 A 处固定质量为2 m 的小球,B 处固定质量为 m 的小球.支架悬挂在O点,可绕过 O 点的水平轴在竖直平面内转动.开始时,OB 杆呈竖直,放手后开始摆动.在不计任何阻力情况下,求 A 球速度最大位置.
For single-pendulum and single-pendulum composite pendulums swinging in the vertical plane within a single field or complex field, there is a wide range of problems in solving the maximum speed. A typical topic is selected: as shown in Figure 1, three lengths The L poles form an equilateral triangle bracket. The ball with a mass of 2 m is fixed at A and the ball with a mass of m is fixed at B. The bracket is suspended at point O and the horizontal axis of O can be bypassed. Rotate in a straight plane. At the beginning, the OB rod is vertical and starts to swing after releasing. In case of any resistance, seek the maximum speed of the A ball.