题目内容
(7分)如图所示,m1、m2是质量分别为50g和100g的小球,套在水平光滑杆上。两球相距2l cm,并用细线连接.欲使两球绕轴以600 r/min的转速在水平面内转动而不滑动,两球离转动中心分别为多远?线上拉力是多大? 

r1=0.14m,r2=0.07m,F=28 N
设m1、m2离转动中心分别为r1、r2,需要的向心力分别是
F1、F2,则
r1+r2=L .............................(1分)
F1=m1 r1ω2 .............................(1分)
F2=m2 r2ω2 .............................(1分)
F1=F2 .............................(1分)
解得r1=0.14m,r2=0.07m ...............(1分)
设线上拉力为F,已知n=10 r/s,则
由ω=2πn=20π rad/s ............
.........(1分)
解得F=F1=F2≈28 N .................(1分)

r1+r2=L .............................(1分)
F1=m1 r1ω2 .............................(1分)
F2=m2 r2ω2 .............................(1分)
F1=F2 .............................(1分)
解得r1=0.14m,r2=0.07m ...............(1分)
设线上拉力为F,已知n=10 r/s,则
由ω=2πn=20π rad/s ............

解得F=F1=F2≈28 N .................(1分)

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