A mass m moves along the x-axis subject to an attractive force given by 19mx/2 and a retarding force given by, where x is its distance from the origin and is a constant. A driving force is given by, where A is a constant, is applied to the particle along the x-axis.
Write down the equation of motion.
What value results in steady-state oscillations about the origin with maximum amplitude?
What is the maximum amplitude?
What is the Q value?
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Explanation:
tractive force given by 17 \beta^{2} m x / 2 and a retarding force given by 3βm
˙
x
3βm
x
˙
, where x is its distance from the origin and ββ is a constant. A driving force given by mA cos ωtωt, where A is a constant, is applied to the particle along the x-axis. (a) What value of ωω results in steady-state oscillations about the origin with maximum amplitude? (b) What is the maximum amplitude?
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