N1?mgcos??2?10?0.8?16N 31.5(1分)
??f1N1?816?0.5 31.6(1分)
(3)
mgsin??f2?ma2,2?10?0.6?f2?2?1,f2?10N 31.7(1分) N22?f??100.5?20N 若F垂直杆向上,则有
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F1?N2?mgcos??20?16?36N 若F垂直杆向下,则有
F2?N2?mgcos??20?16?4N
32.(12分) 解: (1)
v2B?2gR,vB?2?10?0.8?4m/s v3B切?vBsin60??4?2?23m/s 1mv222mgR(1?cos60?)?1c?2mvB切 1?0.1?v2112c?0.1?10?0.8?(1?2)?2?0.1?(23)2
vC?25m/s (2)
h?1222gt1,0.8?12?10?t1,t1?0.4s ??2n??nt?210.4?5?n (n=1,2,3,??) (3)
t2?0.152?2rv? c25?0.1s L?1g(t2221?t2)?12?10?(0.4?0.1)?1.25m
31.8(1分)
31.9(2分)
31.10(2分)32.1(1分)
32.2(1分) 32.3(2分)
32.4(2分)32.5(2分)
32.6(2分)
32.7(2分)
33.(14分) 解: (1)
F?m1g?FA?m1a,FA?BIL?B22BLvRL?BLatR22
所以,F?m1g?m1a?BLat 33.1(2分)
R由图2的截距可知,
m?m1?a?11,a?1m/s21g1a?11,1?10? 由图2的斜率可知, B2L2a6?112?1.52?161.2TR?14.2?0,
B1.8?3.2,B? (2)
v?at?1?2?2m/s,h?122at?12?1?22?2m Wm2F?WG1?WA?121v?0
26.8?1?10?2?W1A?2?1?22
WA??4.8J,Q热??WA?4.8J (3)
m2g?fcd,f?B2L2at0cd??N??FA?R,所以有,
22?1.22m?1.52?1?t02g??BLat0R,0.27?10?0.751.8,t0?2s fcd O t 图3
33.2(2分)
33.3(2分)
33.4(2分)
33.5(2分)
33.6(2分)
33.7(2分)