设物体刚好不下滑时F=F1,作出力图如图.则由平衡条件得:
F1?cosθ+μN1=G?sinθ,
N1=F1?sinθ+G?cosθ.
得:
=F1 G
=sin37°?0.5×cos37° cos37°+0.5×sin37°
=0.2 1.1
;2 11
设物体刚好不上滑时F=F2,则:
F2?cosθ=μN2+G?sinθ,
N2=F2?sinθ+G?cosθ,
得:
=F2 G
=sin37°+0.5×cos37° cos37°?0.5×sin37°
=2,1 0.5
即
≤2 11
≤2.F G
答:水平推力F与G的比值范围为
≤2 11
≤2.F G