Recent content by CSA

  1. C

    Conditions of a quarter-circle running through the origin

    Oh, I think I did understand what you meant. But, I just meant to prove by contradiction that the initial assumption, in my first line, is invalid by manipulating the inequalities. But, I guess I will just stick to your way of explaining it then. Thanks so much for helping!
  2. C

    Conditions of a quarter-circle running through the origin

    Would this make sense then? Using the equation for the bottom quarter circle. Assuming, xf < yf xf < r - sqrt(r2 - xf2) r - xf > sqrt(r2 - xf2) square both sides, since both sides are positive and also assuming xf is not zero, it eventually reduces to xf > r Therefore, by contradiction, we...
  3. C

    Conditions of a quarter-circle running through the origin

    Yes, the point is chosen first and then the radius of the circle is found based on that point
  4. C

    Conditions of a quarter-circle running through the origin

    Homework Statement and Homework Equations[/B] I was working on a math project involving certain simulations and a quarter circle. The equation of the quarter circle I used is y = r - SQRT(r^2 - x^2). Where r is the radius of a circle and x is greater than 0. The purpose of this is to model is...
  5. C

    Thermodynamics vs apparent ka

    Alright, thanks for the help.
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    Thermodynamics vs apparent ka

    Homework Statement I am preparing a phosphate and a bicarbonate buffer at pH 7.4. I am not using the tradition of making a "rough" buffer and then adjusting the pH to the desired value as I want to target a certain value of osmolarity in both buffers. As such I just want to do all calculations...
  7. C

    Velocity of a cylinder on a horizontal plane

    Alright I think I can sort it out. Thanks a lot!
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    Velocity of a cylinder on a horizontal plane

    Would the cylinder not roll? Or is it that the strings pulling the rods directly provide a torque to the cylinder?
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    Velocity of a cylinder on a horizontal plane

    The diagram shows the end of the rod from the side-view. The strings are attached to the top of the rods so they exert a force on them but, the radii of the rods are actually quite small so is it possible to ignore that and take it as though the force is applied at the centre of the cylinder, as...
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    Velocity of a cylinder on a horizontal plane

    Hi, thanks for the reply. It is kind of hard to draw how the knot was tied but, its basically a loop at the end of each string and the loop of the main string goes through the other two. Sorry for the messiness. I tried this by thinking of the entire thing as a single object by taking (2T1cosθ...
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    Velocity of a cylinder on a horizontal plane

    Hi, I appreciate any help. Thanks in advance! Homework Statement The image shows the top view of the set-up. Basically, it is a cylinder (resting on a horizontal plane) with two rods on either side attached in line with the centre of mass of the cylinder. Two pieces of string are then taped...
  12. C

    What is the uncertainty in the derivative of a function?

    Alright, thanks so much for the help!
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    What is the uncertainty in the derivative of a function?

    Hey, Homework Statement I was working on a kinematics experiment using Tracker to do a video analysis. I obtained a graph of displacement against time for the body under constant acceleration and the software also gives me the rms error between the parabolic trend line and the data points...
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