ͼʾԲȫͬȷֲ⻬ڹ⻬ˮƽϣھֹ״̬.֪Բİ뾶ΪRٶΪg.ſԺԲ忪ʼ˶ԲAʱABCٶȷֱΪ
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usin=vcos
AʱABԴڽӴ״̬ôɽ=0ʽʱõv=0 ˽Υʵ.
ԣAʱAB϶ǴڽӴ״̬.ABC˶綯.
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ֱLˮƽļнΪʱԲABֽӴ(ԲACֽӴ)ԲAٶΪuԲBٶΪv(ԲCٶΪv)ô
usin=vcos (1)
ԲA½ĸ߶Ϊ
2R(sin60-sin)=R(1.732-2sin)
Բܻеغ㣺
0.5*m*u*u+20.5*m*v*v =mgR(1.732-2sin)
u*u+2v*v =2gR(1.732-2sin) (2)
(1)(2)ʽɵ
v*v =2gR(1.732-2sin)sinsin/(1+sinsin)
ʽӳԲBٶvȱ仯仯
sin=sin60=0.866 v*v =0
sin=0.526 v*v =0.294734gR
sin=0.528 v*v =0.294746gR
sin=0.530 v*v =0.294738gR
sin=sin0=0 v*v =0 .
ϼ֪sin0.866С0.528ʱvsin0.528С0ʱvС.
ǣһ֪ԲB˶.
,ϼ㷴ӳʵǣsin0.866С0.528()ĹУABDZֽӴģsinȼС0.528ʱABʼ룬Bٶx
x*x =0.294746gR
5 o ) 2 @ X TextField27BCٶΪ0.54
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