在图甲所示坐标系中,一绷直的弹性轻绳沿
轴水平放置,现使位于坐标原点的轻绳的左端沿
轴方向上、下振动,在
轴上形成一列沿
轴正方向传播的简谐横波,测得轻绳左端的振动传到
处的质点
所用时间为
,图乙为绳上
处的质点
起振后一个周期内的振动图像。
(ⅰ)判断绳左端的起振方向,并求此绳波的波长;
(ⅱ)若以质点
起振时刻为计时起点,求位于
处的质点B在
内通过的路程,并写出波源的振动方程。
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07d495c4660da82daf4a38f8fe9c570f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/449e5e92edc08bec39879262a80d43a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07d495c4660da82daf4a38f8fe9c570f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(ⅰ)判断绳左端的起振方向,并求此绳波的波长;
(ⅱ)若以质点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2c40d26f8f410ee4360579d6549af8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/666ac5c50dbe7c30bc8b60d7f7b1b371.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/12/f2505c3a-601c-4d28-8eb8-e0a2b2f275c6.png?resizew=385)
更新时间:2023-05-12 15:01:05
|
相似题推荐
解答题
|
适中
(0.65)
名校
【推荐1】两列简谐横波分别沿x轴正方向和负方向传播,两波源分别位于x轴
和
处,两波的波速均为
,波源的振幅均为
。如图为
时刻两列波的图像,此刻平衡位置在x轴
和
的P、Q两质点开始振动。质点M、N的平衡位置分别处于x轴
和
处。求:
(1)平衡位置在
处的质点P的振动方程;
(2)
时,质点M的位移;
(3)
内质点M和质点N运动的路程分别是多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a690c6b96297de33af1595c4ff17ee30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01f8039a874d818f0067ad4dc93bdd33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ba578a738ea8d56a14ef431fa7ad016.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c78d0ab561d0c9bb9099772c596af8bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aeb9a94e392f6759b18abed89aacc5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4caccca18d49c06b4d0188b3f1de77b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17b514ca29d7d7df3ccc349e7e93e5fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78a73babc7157e66044b22633f1a3609.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/122fc10d49eacb9aa36bff6d7f0652f0.png)
(1)平衡位置在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e3a2c28496f5b3200f9cec4adf18c68.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4b04e9d4fc6a0e80c57b2fd70475124.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54f93f8de95d5bdddfb5204592cb14a8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/29/48724864-9daf-486f-8b0b-ccec5402c94d.png?resizew=403)
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【推荐2】一列沿x轴传播的简谐横波,在t=0时刻的波形如图实线所示,在
时刻的波形如图虚线所示.
(1)该波的波长为多少?若波向x轴正方向传播,求该波的最小波速;
(2)若波向x轴负方向传播,求该波的波速;
(3)若
,求
处的P质点第一次出现波峰的时刻。
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a15b623a5f5786f9ae3ffb6377946677.png)
(1)该波的波长为多少?若波向x轴正方向传播,求该波的最小波速;
(2)若波向x轴负方向传播,求该波的波速;
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a787f4747f63f95a68e2a61bc6300f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d25cb8dd460fba5e62efe2370c4af641.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/27/b79d11ea-a894-465f-aaf2-f22c9db75900.png?resizew=242)
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适中
(0.65)
【推荐1】一列简谐横波沿
轴正方向传播,振幅为
。
时,平衡位置在
处的质点
恰好经过平衡位置向下运动,平衡位置在
处的质点
恰好到达波谷,且质点
连续两次经过平衡位置的时间为
,求:
(1)经过
,质点
通过的路程;
(2)求该波的波速。
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3a9eed64d225267a58cd001db67e2a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aeb9a94e392f6759b18abed89aacc5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe4b95e82f74836fc039a95efad75b85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a524a5c15f60b133b49523fd070f9331.png)
(1)经过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/666ac5c50dbe7c30bc8b60d7f7b1b371.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)求该波的波速。
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(0.65)
名校
【推荐2】一简谐横波沿水平绳沿x轴负方向以
的波速传播。已知
时的波形如图所示,绳上两质点M、N的平衡位置分别是
、
。从该时刻开始计时,求:
(1)质点N第一次回到平衡位置的时间
;
(2)经过多长时间,质点M、N振动的速度相同。
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7af186b8b8e569190938bec8d5300e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aeb9a94e392f6759b18abed89aacc5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/303aa8f50f143e315281268fdee0519c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c53101aca5128282af8262141b7ed7be.png)
(1)质点N第一次回到平衡位置的时间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)经过多长时间,质点M、N振动的速度相同。
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