I wrap this rope around here several times, and here I hang an object m which is substantially less in mass, m which is m, little m, mg and the tension equals mg.
我把绳子绕上几圈,这里挂一个物体,它的重量远小于,它的重量是,张力等于。
M the object has a mass m, mg and so there is a force mg, and I can write down the force in vector notation.
物体质量为,因此有重力,我可以用向量符号,表示这个力。
This is minus one over r, so I get m MG over r with a minus sign, and that has to be evaluated between infinity and capital R.
这是r的负值,所以在mMG/r上加-号,它处于,无穷远和R之间。
I know this is the right answer, because if I now find the acceleration, I find it's mg divided by m and I get -g as the answer for all bodies.
我知道这个等式是正确的,因为现在如果我要求物体的加速度,用 mg 除以 m,我就得到 -g,这个结果对所有物体都成立
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