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PHIL 1100 Lecture : Kai Nielson

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tancrab558
21 Dec 2011
School
York University
Department
Philosophy
Course
PHIL 1100
Professor
Anita Lam

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Document Summary

Linguistic philosophy and the meaning of life kai nielsen y utilitarianism y utilitarian calculus y theistic evolution. agrees with ayer (what is the meaning of life) not cause description or how one lives. how can we make our lives more worthwhile than others? . Is/ought fallacy, many agree with it, it is a fallacy. many theistic and atheist, say that without god, life would have no purpose, we give meaning to. Issue with god (all powerful) our lives (we have meaning in life) believing in no god/is a god is irrelevant to meaning in life, then meaning is up to us. even if we know god is there, we do not have meaning in our lives. lays the purpose to life, still does not know the meaning to our lives (what is the meaning of life?) example: you can know the purpose of brain surgery, but you can disapprove the surgery itself.

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Related Questions

Part 2 is here :

http://www.cramster.com/answers-nov-10/physics/rotating-pendulum-part-2-rotating-pendulum-part-ii-note-part-httpww_1015121.aspx

This is the same rotating pendulum of the previous two problems.Now it is time to analyze the different types of motion andequilibrium (according to the initial conditions).
Note: The “effective potential” method is a powerful tool to analyzeand solve problems where the Hamiltonian is conserved. A similartechnique is used for central potentials, including the Keplerproblem of celestial mechanics (two-body gravitationalproblem)—will see that later.
(a) Let us call Eeff ≡ H the “effective energy.” To make it look likea real energy, define Eeff = T2 + Veff , where Veff should include therelevant non-quadratic piece of kinetic energy (which effectivelybehaves, with an appropriate sign, as a potential energycontribution). In short, the effective potential is defined so thatthe effective kinetic energy left in the Hamiltonian is justquadratic.
Your task: Find the corresponding effective potential Veff (θ), i.e.,write it down explicitly as a function of θ.
Hint: Using the resolution T = T0 + T1 + T2 , it should follow thatVeff = V − T0 (using
Euler’s theorem for homogeneous functions).
(b) Analyze all possible shapes of the graph of the effectivepotential Veff (θ) (versus θ). For this purpose, simply use calculusand the techniques for energy graphs that we studied withone-dimensional systems. Specifically, you should plot Veff (θ) andfind the extrema.
Hint: There should be two different regimes (or two “families” ofshapes).
(c) At what rotation rate ωc does the stationary point at θ = 0become unstable?
(d) For ω > ωc , what is the stable equilibrium value ofθ?
Explain the physical meaning of this stable “dynamic equilibrium”value. Also explain in simple terms why θ = 0 is a stable “dynamicequilibrium” position for ω < ωc .
(e) What is the frequency Ω of small oscillations about the“dynamic equilibrium” points (for each of the two regimesdiscovered above)? Compute this frequency in two differentways:
(i) using the effective potential; and (ii) linearizing the equationof motion.