Recent content by Harsh Bhardwaj

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    Engineering Suggest a good book on the theory of elasticity & structures

    I am 2nd year physics undergrad. Just want to study a bit about materials in my free time. I have no idea about engineering books. Please suggest some good books. Thanks.
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    Other Micromass' Insights on how to self-study mathematics

    Someone should write an insight for probability and statistics too. I am not sure if it is covered in any of the above areas. I have begun the proof book for intro to analysis.
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    Alternative to Relay for Accurate Time Measurement Experiments

    I searched about this experiment on Google before beginning with it myself. Most of these got a value correct to one significant figure only and I got that too. To get greater accuracy I'll follow the 3 points approach this week. My professor suggested that I can study the nature and...
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    Alternative to Relay for Accurate Time Measurement Experiments

    I just completed my first semester in undergrad physics. We were supposed to do many experiments to determine g like Kater's pendulum, spring oscillations, bar pendulum etc. This particular experiment - using digital timing techniques was omitted. So I decided to give it a shot in these...
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    Alternative to Relay for Accurate Time Measurement Experiments

    UPDATE: I now used a heavier mass and it gave me values closer to the accepted value of g. I think this is because the gravitational force(proportional to mass) now dominates over the magnetic force. I am surprisingly getting about 950 to 960 cm/s. I will upload the Arduino code if the need be.
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    Alternative to Relay for Accurate Time Measurement Experiments

    As you warned, the magnet is playing a huge role. I am getting g as about 860 cm/s. I believe this lower value is because initially there is an upward acceleration due to the magnet on the falling object. I am using a DIY electromagnet with an iron bolt as its core. How can I make the magnetic...
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    Alternative to Relay for Accurate Time Measurement Experiments

    I am carrying out a physics experiment to measure g by free fall using an Arduino. This experiment requires accurate time measurements of upto a millisecond. I am using a relay to turn on/off an electromagnet and there is a maximum lag of 10ms due to the relay. I am a complete beginner. Please...
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    What software is used in this video?

    You need - A screen recording software (e.g. CamStudio, Camista, FrontCam for Windows, QuickTime for Mac) A Wacom tablet , or any pen input tablet to write naturally rather than using a mouse A drawing software like Photoshop, Paint, SmoothDraw etc. Microphone (optional) You just need to set...
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    I Equality of two particular solutions of 2nd order linear ODE

    These integrals give particular solution of y.I was wondering whether these solutions are the exact same functions. It is easy to see that the order of differentiation operators does not matter but is the same true for inverse operators? I did quite a few examples and the changing the order of...
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    I Equality of two particular solutions of 2nd order linear ODE

    I tried with some particular g(x). It was easy to prove that the two integrals are equal for g(x) = sin(kx), cos(kx) and exp(kx). I tried with g(x) = x^n but couldn't prove it(used reduction formulae and principle of induction). But all the examples I take by fixing n give the same result. Maybe...
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    I Equality of two particular solutions of 2nd order linear ODE

    I got the following two integral for the a particular solution of a 2nd order linear ODE $$(D-a)(D-b)y = g(x)$$ by using inverse operators ##\frac{1}{D-a}## and ##\frac{1}{D-b}##. The two different integrals are obtained by operating these operators in different order on y to get a particular...
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    Tension in a String: Why is the Scale Reading 10N?

    You are very much connected to the reality of the setup. I was just thinking about idealistic bookish assumptions of massless and nonextensible strings and light pulleys without any friction. This approximately worked in that setup because of friction(as you said). Thanks for pointing out. :)
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    Tension in a String: Why is the Scale Reading 10N?

    I saw a beautiful demonstration of the m1 = m2 = m case. There the masses remained stationary no matter where they were placed along the string(but on opposite sides). The acceleration was always 0. In the case m1 != m2, there was always an acceleration.
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    Tension in a String: Why is the Scale Reading 10N?

    The system is an Atwood's machine and unequal masses produce acceleration. Check the attachments to see how I worked out the Atwood's machine. So T will be as derived in the attachments.
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    Tension in a String: Why is the Scale Reading 10N?

    I have got it now. The spring balance will measure the tension in the string no matter what the weights are. Even if one of the weight is removed and the string is tied to a pole the tension will be same. The spring balance will still read about 10N. Actually, I was confused that a force of 10N...
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