Recent content by RK7

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    Orbital Hybridisation: Myth or Misconception?

    I'm talking about an s orbital and 3 p orbitals nicely combining to make nice convenient orbitals which happen to point outwards tetrahedrally. I don't see how that works.
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    Orbital Hybridisation: Myth or Misconception?

    Is it basically wrong? It just seems like hand-waving...
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    Calculating the Volume of a Cylindrical Wedge Using Calculus and Geometry

    With respect, I'm fairly certain you're wrong and completely derailed the thread.
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    Calculating the Volume of a Cylindrical Wedge Using Calculus and Geometry

    Can you upload a screenshot of what your software is showing?
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    Calculating the Volume of a Cylindrical Wedge Using Calculus and Geometry

    I'm dealing with an entire cylinder split in two. The equation is x²+y²=2ax (equivalent ton (x-a)²+y²=a²) not x²+y²=a².
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    Integrating e^-2x.tanh(x) - Solving for the Antiderivative

    Hint: can you do anything with partial fractions?
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    Calculating the Volume of a Cylindrical Wedge Using Calculus and Geometry

    What's wrong with the answer \pi a^3 q ? And q=0 is just zero volume..
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    Calculating the Volume of a Cylindrical Wedge Using Calculus and Geometry

    So the cylinder has radius a and touches x=0 and x=2a The cylinder goes up to a height of z=qx=2aq So the total volume of the cylinder is \pi a^{2} * 2aq = 2 \pi a^{3} q So the volume of the half of the cylinder we're interested in is half that V=\pi a^3 q Am I doing something wrong?
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    Calculating the Volume of a Cylindrical Wedge Using Calculus and Geometry

    Similar problem with evaluating the integral though..
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    Calculating the Volume of a Cylindrical Wedge Using Calculus and Geometry

    Hm I've come up with a double integral: Break it up into segments of the cirlce in the plane perpendicular to z axis The area of a segment at height z is \int^{2a} _{z/q} 2y dx = \int^{2a} _{z/q} 2 \sqrt{x(2a-x)} dx and can integrate these from z=0 to 2aq giving: \int^{2aq} _{0}...
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    Calculating the Volume of a Cylindrical Wedge Using Calculus and Geometry

    Homework Statement Find the volume of the enclosed by the surfaces z=qx z=0 and x²+y²=2ax Homework Equations This is meant to be done with calculus but can verify my answer with simple geometry - should be \pi a^3q The Attempt at a Solution So the top of the wedge will be when x=2a...
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    What's Behind Dark Matter/Energy? What We're Missing

    So as someone with no real knowledge of the topic, can anyone tell me what I'm missing? Our observations don't fit our models - we see an accelerating universe, rotation curves which do not meet expectations etc We decide there must be dark matter and dark energy to explain this and then try...
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    Finding moment of inertia of a pulley

    Edit: Yeah sorry I'm talking rubbish, I'll have another think tomorrow
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    Finding moment of inertia of a pulley

    My approach would be: Find the acceleration of the block and relate this to the angular acceleration of the pulley then find the resultant torque on the pulley. You don't need to worry about tensions.
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    Quick Conceptual Question on Lenz's Law

    I agree with that. Also note that the resistance is the only answer which is an inherent property of a coil. All the others depend on the environment you put the coil in.
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