Recent content by springwave

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    Initial conditions in quantum mechanics

    Hello, I'm doing an undergraduate introductory course in quantum mechanics, and I'm having a hard time understanding the interpretation. I've recently learned about the famous "Particle in a box" problem, in which we solve the time-independent schrodinger wave equation to get the energy...
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    Falling stick(s) - initial force not equal to gravity?

    If gravity was hypothetically turned off, the pivot would not exert any initial force. Think of it this way: Assume the pivot would not exert any force, then analyze what happens to the point of contact. When gravity is present: if the pivot does not exert any force, then the only...
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    What is Nuclear Binding Energy and How Does it Relate to Mass Defect?

    Okay let's consider this simple situation. If I have two isolated protons initially at an infinitely large distance apart.(of course there is a uniform gravitational field, so that we can measure weight) (let's say it is possible to weigh them using a machine whose mechanism is purely...
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    What is Nuclear Binding Energy and How Does it Relate to Mass Defect?

    Hey, I'm having a hard time trying to understand what nuclear binding energy really means. In most of the introductory texts I have, they say some of the mass of the nucleus appears as binding energy (mass defect). According to the definition, shouldn't it just be the work done by strong...
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    What is the relationship between thermodynamics and classical mechanics?

    I have just completed an intermediate course in classical mechanics. I am very comfortable with the subject, and I really enjoy solving the problems. I just love the idea, of describing everything in nature in terms of forces and their resulting accelerations. Now, I have started an...
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    Entropy & Free Energy Change: Understanding at Equilibrium

    Thanks for the help guys! I guess I understand it better now. What he probably meant in the book by ΔG was the difference in absolute free energies of reactants and products at equilibrium was zero, and as mentioned on the wikipedia page it can be proved that ΔG(between reactants and products)...
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    Where is the Fulcrum for a Boat Hit by a Wave?

    Yeah, the centre of buoyancy remains stationary. (its, basically just the centre of geometry of the part inside the liquid, and hence as shown in the animation remains unaffected as boat moves). So the motion of the boat can be considered as pure rotation about its C of B. (like rotation...
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    Entropy & Free Energy Change: Understanding at Equilibrium

    "change" in entropy While reading a textbook on introductory thermodynamics , I came across the following- "When a system is in equilibrium, the entropy is maximum and the change in entropy ΔS is zero " And also "We can say that for a spontaneous process, entropy increases till it reaches a...
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    Time taken for fluid to start flowing

    We can't do that because, the walls of the container (bottom) exert upward force on the column
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    Time taken for fluid to start flowing

    Homework Statement A large container has of diameter D has a small orifice or diameter d at it's bottom, When the orifice is opened, liquid of density ρ starts flowing out with an approximate velocity of √2gh, but the liquid takes some time τ to reach this velocity. Find the approximate...
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    Is a spring longer hanging or flat on a table?

    It would be difficult to do that, because the spring must be considered massive, and hence will have different tensions at different points. But I guess you can prove it if you make an assumption that if any point in the spring has tension, then it is possible only if it is elongated. Now just...
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    Finding perpendicular force on incline plane.

    Let's keep this simple , As you have done I shall start by resolving everything parallel and perpendicular to the plane. As show in the fig, the external force is F On the incline, the Normal force will at act perpendicularly, and in this case will have to be equal to the total force exerted...
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    Conservation of energy/inclined plane w/ spring

    The solution will become fairly easy if you apply the work energy theorem. Initial configuration - ke is 0 Final configuration (when spring is completely compressed) - ke is again 0 So between these to configurations, the work done by all the forces should cancel out to be zero...
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    Find the Maximum Mass for Riding a Swing

    The swing is basically, undergoing motion in a vertical circle. So for this to happen, at every instant the swing needs a radially inward component of the net force(centripetal) which is equal to mv^2/R. Now it is crucial in this problem that you understand, the tension in the string will be...
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    Minimum Time for Elevator to Reach Level B?

    Thanks for the quick reply! Nope I'm unable to do that. There seem to be more constraints. y'(0) = 0 & y'(t0)= 0 And additionally y''(t) can never be less than -g (since tension can't be -ve) Not very familiar with boundary value problems, though I can solve differential equations. Hope I...
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