Recent content by hale2bopp

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    The shape of water poured out of a glass

    Why does water get that shape when poured out of a glass, almost like the nodes and antinodes of standing waves in a string? Also, the 'parts' of water (For want of a better term) seem to be perpendicular to each other, alternatively. I really think I'm doing a bad job of explaining this, if...
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    Basic questions about signal processing and fourier analysis

    1)A note consists of a fundamental frequency and the multiples of that frequency called harmonics. Peak frequency means that one that contributes most to the note. Is the fundamental frequency always the peak frequency? Since the frequencies die out very quickly as the value of n increases...
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    When plotting graphs in polar coordinates, how does one know when to

    When plotting graphs in polar coordinates, how does one know when to make the graph sharp (at θ=0) (as in for the graph for r=1-cosθ) as opposed to a dimple (r=3/2 + cos θ) ?
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    Understanding work done by friction

    Okay. Right, so friction is non conservative and we can only apply this equation in case of conservative forces. What happens during walking? Will the work done by friction be negative or postive, or zero? I think it will be zero since there is no actual displacement of the foot.
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    Understanding work done by friction

    Work done is defined as F vector. dx vector or F dx cos θ where θ is the angle between F vector and dx vector. But, there is another common formula- dU=-F.dx Here, dU is the potential energy stored in the object on which the force is acting upon. (Am I correct?) But, the work done on the...
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    Why does the cavity in a lead sphere increase on heating?

    Thank you for all your help. marcusl, thank you for the links. They were very helpful. So, in conclusion-the inner radius increases to avoid stresses associated with it reduces, and because otherwise the expansion will not be uniform. Is that right?
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    Why does the cavity in a lead sphere increase on heating?

    That is the question. Sure, the hoop has a finite thickness; but, that doesn't stop objects from expanding. After all, the ring is not being pulled out, it stretched out-it is being expanded. It's volume is increasing. So I don't see why it can't expand both ways, to some limit?
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    Why does the cavity in a lead sphere increase on heating?

    First off, I want to thank you for giving me a detailed answer. I do have a few questions. You assumed that the two cavities are expanding independently. The solid sphere expands as ΔD/D=αΔt , where t is temperature. The inner cavity contains some gas which expands and exerts some pressure on...
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    Heating Mercury Affecting Floating Lead

    You could balance the forces acting on the body. One will be mg, weight, acting downwards. Other will be buoyant force, acting upwards. When they are equal, the body remains stationary in the liquid. Now if you heat the mercury, the density of the mercury decreases, as you said, as its volume...
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    Why does the cavity in a lead sphere increase on heating?

    There is a spherical lead ball with a spherical cavity. It is heated. The size of the cavity increases. Why does it do so? Also, does it matter what happens to the cavity if it is not present at the centre, but rather a little removed from the centre? Will it remain spherical?
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    Locus of light falling on a plane surface

    Thank you so much! This explained things perfectly. I will try to check out the light source at the bottom of a spherical cup. :)
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    Locus of light falling on a plane surface

    When there is a lamp on a wall and the light from the lamp falls on the wall, we notice that the shape formed by the light is a hyperbola. I would like to know what the explanation for this is. Also, when you have a convex lens and you kee it flat on a horizontal surface, and sunlight falls at...
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    Question in thermodynamics-melting of ice.

    Homework Statement Ice of mass 2 kg at -20 degrees C and 5 kg water at 20 degrees C are mixed. Find the net amount of water in the container. (Specific heat of water=1cal/g degrees C, specific heat of Ice = 0.5 cal/g degrees C, latent heat of fusion=80cal/g degrees C) Homework Equations...
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    Central Maxima & Interference: Investigating Intensity

    Okay. That makes it a lot clearer. Thank you.
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    Central Maxima & Interference: Investigating Intensity

    Er. .I thank you very much for the pages given, but I think I will need more knowledge of maths and phasors to understand this. I guess I will work on that, first. But, if I'm not wrong, delta is the constant phase difference, of one point on the wavefront, from the point directly above it. So...
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