单选题
质量为m,长为2l的均质杆初始位于水平位置,如图所示。A端脱落后,杆绕轴B转动,当杆转到铅垂位置时,AB杆B处的约束力大小为:
A、
F
Bx
=0,F
By
=0
B、
F
Br
=0,F
By
=mg/4
C、
F
Bx
=l,F
By
=mg
D、
F
Bx
=0,F
By
=5mg/2
【正确答案】
D
【答案解析】
解析:根据动能定理,当杆从水平转动到铅垂位置时,T
1
=0;T
2
=1/2J
B
w
2
=-1/2.1/3m(2l)
2
w
2
=2/3ml
2
w
2
;W
12
=mgl代入T
2
-T
1
=W
12
,得w
2
=3g/2l 再根据定轴转动微分方程:J
B
α=M
B
(F)=0,α=0 质心运动定理:a
Cr
=lα=0,a
Cn
=1w
2
=3g/2 受力如图:mlw
2
=F
By
-mg,F
By
=5/2mg,F
Bx
=0
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