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1 一道典型例题的常见解答[例1]如图1所示,两个相同规格的轻质定滑轮,其轴位于同一水平线上.用轻而柔的细绳跨过两滑轮将A、B、C三个物体悬吊,其中A、B的质量相等.若从某一初始位置起将它们由静止释放后,A与B将加速下降,C将加速上升.当A与B下降的即时速度均为v时,悬吊C的两绳的夹角为2θ,求此时物体C的即时速度为多大?不计滑轮磨擦和绳的伸长.
1 A typical solution to a typical example [Example 1] As shown in Figure 1, two light-weight pulleys of the same specifications have their axes on the same horizontal line. Use light and soft twine to cross the two pulleys A, B, C. The suspension of three objects, in which the masses of A and B are equal. If they are released from a certain initial position from rest, A and B will accelerate down, and C will accelerate. When the A and B fall, the instantaneous speed is both For v, the angle between the two ropes that suspends C is 2θ, and what is the instantaneous speed of object C at this time? It does not account for the friction of the pulley and the elongation of the rope.