问题 问答题

A、B两球质量分别为,用一劲度系数为的弹簧相连,一长为的细线与相连,置于水平光滑桌面上,细线的另一端拴在数值轴上,如图所示。当均以角速度做匀速圆周运动且稳定后,弹簧长度为。求:

(1)此时绳子的张力大小。

(2)将线突然烧断的瞬间,A球的加速度是多大?

答案

见解析

(10分)

(1)对于A

                                                                                         ①

对于B

                                                                                      ②

                                                                        ③

(2)细线烧断的瞬间,弹簧形变尚未发生改变

                                                                            ④

评分标准:①②式各3分,③④式各2分。

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