? f?4(9.8?2.25)?29.2N 2?
??3.14(3)??t?6??t?6??6?7.07?0.074s 3?
?/22?/3(t1???0.222s t2???0.296s )
4.一质点沿x轴作简谐振动,其角频率? = 10 rad/s.试分别写出以下两种初始状态下的振动方程:
(1) 其初始位移x0 = 7.5 cm,初始速度v0 = 75.0 cm/s; (2) 其初始位移x0 =7.5 cm,初始速度v0 =-75.0 cm/s.
v2A?(0)2?x0解:
?vtg???0?x0
(1)A1?7.52cm?10.6?10?2m
tg?1??1??1???4x1?10.6?10?2cos(10t??4
)(2)A2?7.52cm?10.6?10?2m
tg?2?1??2??4x2?10.6?10?2cos(10t?
?4
)