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5_4-Clickers-Phase Space

# 5_4-Clickers-Phase Space - = 2 E k = max displacement b = 2...

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1 Phase Space

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2 2) How does a phase space diagram change, if you start it with a bigger initial stretch? 3) How does a phase space diagram change, if the phase “δ” in x(t)=Acos(ωt-δ) changes? If you finish early: 1) Phase paths A and B both describe a harmonic oscillator with the same mass m. Which path describes the system with a bigger spring constant k?
3 Phase paths A & B below attempt to describe the mass-on-a-spring simple harmonic oscillator. Which path is physically possible? C) both are possible D) neither is possible

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4 1) How does the phase space diagram change, if you start it with a bigger initial stretch? v x b a x 2 a 2 + y 2 b 2 = 1 a

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Unformatted text preview: = 2 E / k = max displacement b = 2 E / m = max speed b / a = k / m =ϖ 2) How does the phase space diagram change, if the phase “δ” in x(t)=Acos(ωt-δ) changes? 5 Phase paths A and B both describe a harmonic oscillator with the same mass m. Which path describes the system with a bigger spring constant k? C) both are the same D) Not enough info/??? 6 For the phase space trajectory of a simple harmonic oscillator, give a physical interpretation of the fact that:- the trajectory crosses the horizontal (x) axis at right angles. - the trajectory crosses the vertical (v) axes at right angles. x v...
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