Recent content by alaix

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    Relative speed, center of mass, kinetic energy

    Homework Statement Let m1, m2 and m3, the mass of 3 particles and v12, v23, v13 their respective relative velocities. a) Show that the total kinetic energy of the system in relation to the center of mass is: ( m1m2v12^2 + m2m3v23^2 + m1m3v13^2 ) / (m1+m2+m3) b) generalize this result...
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    Angular velocity of a rod rotating around a vertical axis

    Homework Statement An homogeneous rod is fixed to an extremity and is rotating around a vertical axis, doing an angle of theta with the vertical. (in the scheme I made I wrote alpha but it's theta! (θ)) If the length of the rod is L, show that the angular velocity needed to make it turn...
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    2 springs @ 30 degrees supporting a mass

    That would actually make a period 0f 12 seconds... Since it's less than 8, I doubt that's the proper way :S
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    2 springs @ 30 degrees supporting a mass

    Here is what my teacher answered me: You need to consider the extension of the spring in the 2nd Newton Law but keep everything as symbols. Be careful for the vertical projection of the tensions in both springs during the oblique extension. Redo 2nd Newton Law and be looking for a spring that...
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    Does 2 spring @ 30 degrees = 1 @ 90?

    Let's say you have 2 identical springs Let's say length = 1m Spring constant = 0.5 You attach each spring to the ceiling and a mass. The springs make a 30 degree angle with the ceiling. Basically the system forms a triangle... Is it OK to say that the effective spring constant of the...
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    2 springs @ 30 degrees supporting a mass

    How does that make any sense?
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    2 springs @ 30 degrees supporting a mass

    In a simpler way, could we possibly say that 2 springs @ 30 degrees would do the same thing as one identical spring @ 90 degrees?
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    2 springs @ 30 degrees supporting a mass

    So if I get this right, you want me to take the "Effective spring constant" which would be 4 k sin(30)² and "inject" it into the equation P = 2pi sqrt(m/k) Also I'm not sure where the whole mg = 2T sin(30) is related to the rest of your maths... I guess this make some kind of sense. Would...
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    2 springs @ 30 degrees supporting a mass

    Homework Statement A mass of 100g is supported by two identical springs of negligible mass having spring constants k= 50 dynes/cm. In the equilibrium position, the springs make an angle of 30 degree with the horizontal and are 100 cm in length. If the mass, m, is pulled down a distance of...
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    Pulley system: 2 pulleys and 3 mass

    Homework Statement Note: My textbook and first language is french, I am sorry if I mistranslated some terms. A friction-less rope goes around the fix pulley A. At one side of the rope, there is a mass M1. On the other side, there is a pulley of mass M2. Another friction-less rope goes...
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