Recent content by lua
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Upper bound for first excited state - variational principle
Oh! I did't think of that at all. Thank you!- lua
- Post #3
- Forum: Advanced Physics Homework Help
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Upper bound for first excited state - variational principle
I'm solving problem number 5 from https://ocw.mit.edu/courses/8-05-quantum-physics-ii-fall-2013/resources/mit8_05f13_ps2/. (a) Here I got: $$ \beta = \frac{\hbar^{\frac{1}{3}}}{(\alpha m)^\frac{1}{6}} $$ and: $$ E = \left ( \frac{\alpha \hbar^4}{m^2} \right )^\frac{1}{3}e $$ (b) Using Scilab I...- lua
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- Bound Excited Principle State Upper bound Variational principle
- Replies: 2
- Forum: Advanced Physics Homework Help
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Solving Spool Acceleration Problem Using Newton's Laws
Are we talking only about the case (c) or any case listed above? I think I understand what you are trying to say, but I don't understand why system has to start sliding. I understand that when system is rolling, if the resulting velocity of the point of contact with the ground isn't zero...- lua
- Post #12
- Forum: Introductory Physics Homework Help
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Solving Spool Acceleration Problem Using Newton's Laws
I think I understand the source of my confusion. I assumed that the condition ##F_{f} \le \mu N## was closely related with the (c) case. But it is not the case. I first considered the case of system dynamics in the middle of the movie. I found parameters of system dynamics (translational and...- lua
- Post #9
- Forum: Introductory Physics Homework Help
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Solving Spool Acceleration Problem Using Newton's Laws
I got: $$F_{max}= \frac{1}{2} \frac{sin 2 \alpha}{cos(\alpha - \phi)}mg$$- lua
- Post #7
- Forum: Introductory Physics Homework Help
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Solving Spool Acceleration Problem Using Newton's Laws
If you pull harder, I assume that either string will brake or the spool will start to move with constant speed because of zero acceleratios. But I can't prove that. When I look once more through equations, ##F_{max}=T_{max}= \frac{\mu}{cos \phi + \mu sin \phi} mg## is maximum straining force of...- lua
- Post #6
- Forum: Introductory Physics Homework Help
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Solving Spool Acceleration Problem Using Newton's Laws
First, for the case (c), I would say that the zero values of translational and rotational acceleration mean one of the following three things: 1. If the spool was accelerating (to the left or right) before meeting requirement (c), it will keep moving with constant linear and rotational speed...- lua
- Post #4
- Forum: Introductory Physics Homework Help
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Solving Spool Acceleration Problem Using Newton's Laws
I forgot the figure...- lua
- Post #2
- Forum: Introductory Physics Homework Help
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Solving Spool Acceleration Problem Using Newton's Laws
I solved this problem using second Newton law for translational motion and the same law for rotational motion, and got $$a= \frac {F} {m+ \frac {I} {R^{2}}} (cosϕ−rR)$$ where m is spool mass. Now, we have three cases: (a) ##cos\phi>\frac{r}{R}##, when spool is accelerating to the right, (b)...- lua
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- Acceleration
- Replies: 12
- Forum: Introductory Physics Homework Help
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What Are Some Must-Read Books for Physics Enthusiasts?
Hi everyone! I'm a physics anthusiast. I fell in love with physics as soon as I got it in the middle school. Love to read books of the famous physicists (Feynman, Susskind, B. Greene, Penrose, etc.). If my English is sometimes clumsy, I hope you won't mind me - English is not my native...- lua
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- Replies: 1
- Forum: New Member Introductions