如图所示,倾角为
的斜面体C固定于水平地面上,其上表面光滑,长为
,一轻绳跨过光滑轻质定滑轮与质量均为
的滑块A、B相连,滑轮左侧轻绳与斜面平行,A、B可视为质点,将滑块A置于斜面底端,初始时用手托住B,使A、B静止,轻绳处于伸直状态,此时B距地面高为
,现将B由静止释放,重力加速度取
。
(1)求在B下落
的过程中,绳中张力对B做的功;
(2)若斜面体C不固定,其质量也为
,则在B落地前,C与地面间的动摩擦因数
至少为多大才能使C始终静止?(设最大静摩擦力等于滑动摩擦力)。
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c96cb3ac8290e09c55d4eb336a8608.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d916a406adac9fa4dcfbad152547ac9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/276509f01529d982ab21e479a4619268.png)
(1)求在B下落
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
(2)若斜面体C不固定,其质量也为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1100379a4385b9ce064847bc21760adc.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/5/75f65b9d-1ce5-4f10-b619-ed1ac31b8115.png?resizew=231)
更新时间:2023-11-05 13:25:01
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【推荐1】三物体A、B、C的质量分别为m1、m2、m3,按图所示方式放置在光滑水平面上,物体的倾斜角为θ,物体B上表面水平,现在物体A上加一个水平向右的力F。
(1)若三物体间无相对滑动,求A、B间与B、C间的摩擦力大小;
(2)如果A、B间和B、C间动摩擦因数相同,最大静摩擦力等于滑动摩擦力,则若F逐渐增大,问是A、B间先滑动还是B、C间先滑动?
(1)若三物体间无相对滑动,求A、B间与B、C间的摩擦力大小;
(2)如果A、B间和B、C间动摩擦因数相同,最大静摩擦力等于滑动摩擦力,则若F逐渐增大,问是A、B间先滑动还是B、C间先滑动?
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/5/de35e0a6-a487-4796-a625-39399e22df62.png?resizew=196)
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【推荐2】如图甲所示,平行光滑斜面的轻弹簧劲度系数为
.一端固定倾角为
的斜面底端,另一端与物块
连接,两物块
、
质量均为
,初始时均静止,现用平行于斜面向上的变力
拉动物块
,使
做加速度为
(
)的匀加速运动,
、
两物块在开始一段时间内的
关系分别对应图乙中的
、
图线(
时刻
、
的图线相切,
时刻对应
图线的最高点),图中仅
为已知量,
、
、
均未知,重力加速度为
.求:
(1)
时刻弹簧的形变量;
(2)拉力
的最大值和最小值;
(3)
时刻
、
间的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a3757f842601cf210032a4965e00d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1552707683293dcf684d101dd09b5c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c7eb49a823f757461cd5260757b088.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd84a8f95166367063218ee03ffd5a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd84a8f95166367063218ee03ffd5a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c7eb49a823f757461cd5260757b088.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f44c235d8b49207ad3f2d77dc5d6cf20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/814f55724f7ee57bd395eb3b95393c68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/276509f01529d982ab21e479a4619268.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c7eb49a823f757461cd5260757b088.png)
(2)拉力
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd84a8f95166367063218ee03ffd5a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/26/68ff582d-dbb0-40b9-a38d-740359a5b87a.png?resizew=351)
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【推荐1】如图所示,质量
的物体静止在光滑的水平面上,在
的水平拉力作用下开始运动。求:
(1)力F在
内对物体做的功以及做功的平均功率;
(2)在
末力F对物体做功的瞬时功率。
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dee915e2fb7b8a1f4328473f9c18ba7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd4b1078c8d0ba8821e12a7edda4a7d6.png)
(1)力F在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15b7a662db44251ff09d2bc4cd5574bc.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15b7a662db44251ff09d2bc4cd5574bc.png)
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【推荐2】如图(
)所示,质量为
的物块以初速度
从图中所示位置开始沿粗糙水平面向右运动,同时物块受到一水平向左的恒力
作用,在运动过程中物块速度随时间变化的规律如图(
)所示。求:
(1)恒力
的大小;
(2)前
内恒力
做的功
和摩擦力做的功
;
(3)若在距离出发点10米的左边有一个半径为2.5米的光滑圆球,在水平力一直作用到光滑圆球低端的情况下,判断物块能否到达最高点
,若能,求出在
点时物块对轨道的压力。
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc2a39beea5adf5d07aea0424ca7a64f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dee915e2fb7b8a1f4328473f9c18ba7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c21bd04aa2a454fe964cd5c8029ce0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/581c04af30b490da1a50555f9c89125c.png)
(1)恒力
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
(2)前
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e64909190f9a20d13f84b5650f62ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724bea3963b417e83b49758d6d7ed19b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f3781c662d17e13fcaef29834ce2eaa.png)
(3)若在距离出发点10米的左边有一个半径为2.5米的光滑圆球,在水平力一直作用到光滑圆球低端的情况下,判断物块能否到达最高点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
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