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母题如图1所示,一长为L的细绳一端固定在天花板上,另一端与一质量为m的小球相连接.现使小球在一水平面上做匀速圆周运动,此时细绳与竖直方向的夹角为θ.不计空气阻力,重力加速度为g,求小球做匀速圆周运动周期的大小.解法一(合成法)
The motif is shown in Figure 1. A string of length L is fixed to the ceiling at one end and connected to a ball of mass m at the other end, now making the ball move at a uniform circular motion over a horizontal plane Angle between the rope and the vertical direction is θ. Regardless of air resistance, the acceleration of gravity g, and asked the ball to do uniform circular motion cycle size. Solution a (synthesis method)