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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee8bd3a2fe0d1750aa48c4faac93396.png)
(1)求AB物块下滑速度最大时离
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
(2)求A对B作用力的最大值;
(3)调整斜面长度使AB物块速度最大时恰好到达斜面底端,此时撤去弹簧并解除AB间的锁定。A与挡板碰撞后物块B滑上木板C,木板C与平台碰撞后立即停止,物块B与物块1相碰后粘在一起,两物块继续运动,然后与物块2相碰,碰后三物块粘在一起继续运动……,所有碰撞时间极短。已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/224a64e120646f44807dd441f219e540.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
①物块B与物块1碰撞前瞬间的速度大小;
②物块B与前
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/729d16d68f94b408e95496489dd75043.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f58888df91890a19a1aa7511d19703f.png)
(1)小橡胶环A到达滑杆最低点Q时所受弹力大小;
(2)小橡胶环B在长直木杆C上上滑的最大距离;
(3)长直木杆C跟水平面第一次碰撞瞬间损失的机械能;
(4)小橡胶环B在长直木杆C上运动的总路程。
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fda5655ef480683a2d3b74f0b523439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d25313067f3e11f68da496344c4956.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a978234b0c708d9cdeb0e7e4da8026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fda5655ef480683a2d3b74f0b523439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e10ca4d3a4eaf1e9f750dac8071fa824.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8afb1d328d6da3a83defebe62b43d180.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8afb1d328d6da3a83defebe62b43d180.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb8485466d2127bd681a322f87c58f86.png)
(1)求滑块过C点的速度大小
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/478f9059cadeb640ca31be6414646186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2cf860efda43583371c3f41cb48b925.png)
(2)若在滑块落到摆渡车上的瞬间,工人立刻推动摆渡车,使得摆渡车立刻获得与滑块水平方向速度相同的速度,此后的运动过程中,滑块始终不脱离摆渡车,求滑块与摆渡车之间的动摩擦因数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1100379a4385b9ce064847bc21760adc.png)
(3)在(2)的条件下,求摆渡车与滑块组成的系统在从一起开始运动到第4次碰撞前所损失的机械能。
![](https://img.xkw.com/dksih/QBM/2023/10/8/3341518180294656/3362137140805632/STEM/ecc50656b558451db21d6bae5891457f.png?resizew=1)
![](https://img.xkw.com/dksih/QBM/2023/10/8/3341518180294656/3362137140805632/STEM/de6587e0870f4a24959cb6b5d0c0d502.png?resizew=2)
![](https://img.xkw.com/dksih/QBM/2023/10/8/3341518180294656/3362137140805632/STEM/9dad4b654a3245d4a84ca08e6cb0fec8.png?resizew=550)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b41c93d54bc76586dd9b646b2b246c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a6a294d3d7206bcdde5b943dbe94f0.png)
(1)启动电机使圆筒加速转动,钢球与圆筒保持相对静止,第一次到达与圆心等高的位置B时,圆筒的角速度
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0459597c217393d49437cd173fab0562.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f58888df91890a19a1aa7511d19703f.png)
(2)当钢球通过C点时,另一装置瞬间让钢球与圆筒分离(分离前后钢球速度不变),此后钢球仅在重力作用下落到位置D.CD连线过O点,与水平方向成45°。求分离时圆筒的角速度
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b55b59c92a868cc6f448e5d92d257401.png)
(3)停止工作后将圆筒洗净,内壁视为光滑。将一钢球从位置C正下方的E点由静止释放,与筒壁碰撞6次后恰好又回到E点。若所有碰撞都是弹性的(即碰撞前后沿半径方向速度大小相等方向相反,沿切线方向速度不变),求钢球从释放开始至第一次回到E点所用的时间;若改变钢球释放的高度,钢球能否与筒壁碰撞3次后回到释放点,并简要说明理由(取
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d4b2d536467ebce7f11358d732a1a30.png)
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(1)若滑块从y = 0.45m的某点弹出,求滑块弹出时的初速度
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f58888df91890a19a1aa7511d19703f.png)
(2)若改变弹射装置位置,求弹出点的坐标(x,y)应满足的关系;
(3)若滑块从A点切入后不脱离轨道,求弹出时滑块纵坐标y应满足的条件。
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/19/f0d38dff-47f2-4341-93ef-33106aca6d40.png?resizew=134)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/19/9334a7b3-f311-45e0-83ea-ac9cf72e1443.png?resizew=388)
6 . 某兴趣小组设计的连锁机械游戏装置如图所示。左侧有一固定的四分之一圆弧轨道,其末端B水平,半径为3L;在轨道末端等高处有一质量为m的“”形小盒C(可视为质点),小盒C与大小可忽略、质量为3m的物块D通过光滑定滑轮用轻绳相连,左侧滑轮与小盒C之间的绳长为2L;物块D压在质量为m的木板E左端,木板E上表面光滑,下表面与水平桌面间动摩擦因数
(最大静摩擦力等于滑动摩擦力),木板E右端到桌子右边缘固定挡板(厚度不计)的距离为L;质量为m且粗细均匀的细杆F通过桌子右边缘的光滑定滑轮用轻绳与木板E相连,木板E与定滑轮间轻绳水平,细杆F下端到地面的距离也为L;质量为0.25m的圆环(可视为质点)套在细杆F上端,环与杆之间滑动摩擦力和最大静摩擦力相等,大小为0.5mg。开始时所有装置均静止,现将一质量为m的小球(可视为质点)从圆弧轨道顶端A处由静止释放,小球进入小盒C时刚好能被卡住(作用时间很短可不计),此时物块D对木板E的压力刚好为零。木板E与挡板相撞、细杆F与地面相撞均以原速率反弹,最终圆环刚好到达细杆的底部。不计空气阻力,重力加速度为g,求:
(2)小球在四分之一圆弧轨道上克服摩擦力所做的功;
(3)木板E与挡板碰后,向左返回的最大位移;
(4)细杆F的长度。
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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(1)要使滑块恰能运动到E点,求滑块释放点的高度
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cdbf9cf0857352c9f4cab7a508d1026.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25d5ed065eadd00378940a6a60912aa5.png)
(3)求滑块静止时距B点的水平距离x与释放点高度h的关系。
![](https://img.xkw.com/dksih/QBM/2022/4/29/2975760886792192/2977789548003328/STEM/04f3d4e1-95c3-447d-8c8c-2bf2f4bbbbc8.png?resizew=328)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f881cb9071ca8fea7cef4ab8d4865589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba434e8927ca89b8a27d347c477b5a9d.png)
(1)第一次碰撞过程中,平板所受合外力对平板的冲量;
(2)第三次碰撞时物块离平板右端的距离;
(3)物块最终离木板右端的距离;
(4)若将恒力F撤去,调节初始状态平板左端与挡板的距离L,仅给小物块一个水平向左的初速度
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86f752a711071211bec5e2c8b39ddca7.png)
![](https://img.xkw.com/dksih/QBM/2022/4/17/2967118137024512/2969102381096960/STEM/95bf4385-5ac0-47fe-b261-64ba452ef3f3.png?resizew=442)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ed7cf294900b751811ac4d077c5a36c.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd5814234465e1ff0d9875fc240df1c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/799edf593e3ba2b2372a83d9782be3a2.png)
(1)滑块
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4489d9b83072184c0e1d6b09be50ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)滑块
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4489d9b83072184c0e1d6b09be50ca.png)
(3)滑块
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4489d9b83072184c0e1d6b09be50ca.png)
(4)若弹簧第一次恢复原长时,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca66a268d6f46e0e9d5d9151b785be60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2f4483985c69303de557c69bfee42a7.png)
![](https://img.xkw.com/dksih/QBM/2022/4/17/2967149004775424/2968154927931392/STEM/481c4f71-cbb8-4b81-81a2-9325658355bf.png?resizew=409)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ede11e7554a7b18b81b4ebeade30592.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e744cd6adcab3b23b3b494534463de53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a2d2c7d338546a30f63b1ada1d4e1d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e79a12d7e73441a2a056afc79ea6fa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2de545d64e2c0da2ed6a925a1c37730.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8799796fdb97ea2f52321b3aac91516f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92d2c86643f76f1e44b526dc26a0b0e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98f4cfcca7064fd57a776c6041edceb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a58f7c76d58f163c760fc632657ca14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee4747fcb63fedac8ed6235e5d21bce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf189a86ac788e61722281a7b1ed7b8e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
(2)第一次碰撞后,B恰好停在营垒中心O处,求碰后A的速度大小
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1d38c778c86ff138a5d5c0b16385f2f.png)
(3)已知A、B碰撞前后速度均满足比值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44a7def58571607cdc2088c417f75a3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9a5fbf690581d8517d264c254a1f72.png)
![](https://img.xkw.com/dksih/QBM/2022/4/21/2962842535108608/2963063157202944/STEM/8e54d58f-1a13-4a50-b1e9-10669d28f6a1.png?resizew=437)