如图所示,质量为4kg的小球用细绳拴着吊在行驶的汽车后壁上,绳与

如图所示,质量为4kg的小球用细绳拴着吊在行驶的汽车后壁上,绳与竖直方向夹角为37°.已知g=10m/s2sin37°=0.6cos37°=0.8,求:                                                                                                         

1)汽车匀速运动时,小球对细线的拉力大小和对车后壁的压力大小.                      

2)当汽车以a=10m/s2向右匀减速行驶时,细线对小球的拉力大小和小球对车后壁的压力大小.                                                                                                                                          

                                                                                                 

                                                                                                                                    

答案

1)匀速运动时,小球受力分析,小球受到重力、拉力、后壁的弹力,由平衡条件得:

Tsinθ=FNTcosθ=mg

代入数据得:T=50NFN=30N

根据牛顿第三定律可得:

小球对细线的拉力为50N和小球对车后壁的压力大小为30N

2)当汽车向右匀减速行驶时,设车后壁弹力为0时的加速度为a0(临界条件),受重力和拉力两个力,由牛顿第二定律得:Tsinθ=ma0Tcosθ=mg

代入数据得:

因为a=10m/s2a0,所以小球飞起来,所以小球对车后壁的压力FN=0

对细线的拉力

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