Question

质量为M的火车,以恒定的速率在水平面内沿一段半径为r的圆弧轨道转弯,已知路面的倾角为α,试求：

Answer 1

1,

mgtanα=mV^2/r

V=√(grtanα)

2,

mgtanα+F=m4V^2/r

F=m4V^2/r-mgtanα

=4m(grtanα/r)-mgtanα

=3mgtanα

3,

mgtanα=mV^2/4r+F

F=3mgtanα/4