主题:【整理】发几个有趣的物理现象,可以用来当魔术玩 -- 铁手
铁球的运动半径在减小,但是能量不变,着就要求大的向心力。加入铁链足够坚强,那么铁联和转动轴之间的压力是增大的.假定摩擦系数是常数. f max=n*N
the work of the ball did during the man' fall: W= intergral( mv^2/r*dr) from r0 ->0, we neglect the effect of the ball's gravity.
so finally, W=e^(r0/r)*(mv^2)=1/2.*mv_final**2+Mg*H
M is mass of the man and H is the height of the man's drop.
N=mv_final**2/r=2*(W-Mg*H)/r
fmax=n* N
fmax>=Mg.
finally the force depends on the ratio between r0/r, which can be always sufficient large to provide force to balance the weight of the man and compensate the energy due to fall, when r->0.
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🙂【整理】发几个有趣的物理现象,可以用来当魔术玩 43 铁手 字1518 2016-02-12 15:12:56
🙂第二个最容易也最安全。 coo 字568 2016-02-14 22:00:44
🙂第一个跟离心力关系不大,主要是摩擦力,趣味物理学里有解释 2 shinji 字398 2016-02-15 19:57:29
🙂本质上来源于圆周运动的向心力力和半径的反比关系
🙂你大概没有学过大学物理 龟途漫漫 字33 2016-02-21 10:26:10
🙂为什么呢? coo 字131 2016-02-21 13:02:33
🙂这个只与绳子绕木头后的摩擦力有关 tang 字283 2016-02-21 13:26:44
🙂e^(r0/r)说的就是这个 coo 字114 2016-02-21 14:33:58