Recent content by cng99

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    Can I Create My Own Physics Engine for Object Simulation?

    Hello, I want to create my own physics engine. Basically, I want to create a visual environment where a user can create any object that he desires and run a simulation of that object like it were in a real world. Basic physics engines are used popularly in games like Angry Birds. My...
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    How Can the Weight of a Human Head be Measured?

    Well, the mass can be easily measured by balancing torque once you locate the center of mass of the head. The trouble is thus the center of mass.
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    How Should I Choose Between IIT JEE and KVPY for IISc or IISER?

    I'm more into an integrated science course, so IISc suits me more than CMI (To be precise, I want B.Sc, not a B.Math). But I would appear for the INMO exam though. Thanks a lot for the information. Do give me the study material! By the way, if you're really into Maths, ISI Bangalore is also a...
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    How Should I Choose Between IIT JEE and KVPY for IISc or IISER?

    Hi. I'm a twelfth standard student from India. (Education system is very different here from other place, be well acquainted before posting). I'm preparing for IIT JEE. But getting into IIT is not my real goal (it's a backup plan I guess). I want to get into a science college like IISc...
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    Proving Complex Mapping: f(z) Maps Real Axis to Circle of Radius 1

    Okay, first of all. I know it's too late to answer but I believe I got it. Let z=x+iy,a=p+iq and w=u+iv But on a real line, z=x (y=0 is the line) Hence z = x w=u+iv=f(z)=f(x+i0)=f(x) =\frac{x+p-iq}{x+p+iq} Now as you can see (and also prove) that |w|=1 no matter what x,p and q are.
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    Image of Circle |z| = 3 under Mapping w = 6/z

    Hmmmm. For the first question: Let w= u + iv Let z = x + iy Hence |z|=x^{2} + y^{2} = 3 ( I hope you understand how this works. It's basically finding the distance of the point (x,y) from origin on a cartesian plane which is called an Argand plane for complex numbers) Now w=\frac{6}{z}...
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    Conservation of Energy of a rolling sphere

    It's a sphere! Assuming this to be a case of rolling without slipping, the the total energy in the sphere is \frac{7}{10}mv^{2} Here's how: Total energy = Translational Kinetic energy + Rotational kinetic energy = \frac{1}{2}mv^{2} + \frac{1}{2}I\omega^{2} (m = mass v = velocity...
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    A problem in limit of a complex function

    But the answer is zero. Also can you suggest me some good self-study material to learn complex calculus? I'm good at real number calculus, and I started reading this book called 'Complex Variables Demystified' by David McMohan. But it's the only one I have.
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    A problem in limit of a complex function

    Homework Statement I'm a newbie at complex analysis. Find: lim \frac{\bar{z}^{2}}{z} z→0 2. The attempt at a solution L'Hospital rule gives the answer in no time. But how do you solve without it?
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    Why Do Participants Perceive Lower Frequency Sounds as Higher Pitched?

    So no one's interested after all. Alright, I understand.
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    Why Do Participants Perceive Lower Frequency Sounds as Higher Pitched?

    I took 60 because the other 40 were a part of a case study which involved people of similar age group all studied with a single type of test sequence. The subjects were made to listen to 10 tones and after they're done listening a test was conducted for 5 tones which they had to identify...
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    Why Do Participants Perceive Lower Frequency Sounds as Higher Pitched?

    Are you serious? I've worked really hard for this and if you can't respect that at least don't make fun of it.
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    Why Do Participants Perceive Lower Frequency Sounds as Higher Pitched?

    A research on perception of pitch Homework Statement I've been working on a project. It's regarding the human perception of sound. I basically tested around 100 human subjects and made a report of it. The data of 60 individuals is in "google_science_fair..zip" attached with the post...