Recent content by x24759

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    Coupled oscillator: 2 masses and 3 different springs

    I found the error, thanks. the equation is x2 - x(A+B+2C) +[AC+AB+BC] and the roots are x = (A+B+2C)/2 ± ½√(A2+B2+4C2-2AB), which still does not get me to the right answer..
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    Coupled oscillator: 2 masses and 3 different springs

    That is what I did, not getting anywhere. x=ω2 and A, B, C= ω2A B or Cx2 - x(A+B+C) +[AC+AB+BC] doing the quadratic formula x = (A+B+C)/2 ± ½√(A2+B2+C2-3AB-3BC-3AC) I don't think that is moving in the right directing judging by the answer in the back (ω'2 = (kA+kB+kC)/m and ω''2 = kC/m)
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    Coupled oscillator: 2 masses and 3 different springs

    Homework Statement Two harmonic oscillators A and B , of mass m and spring constants kA and kB are coupled together by a spring of spring constant kC .Find the normal frequencies ω' and ω'' and describe the normal modes of oscillation if (k C)2= kAkB) Homework EquationsThe Attempt at a...
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    Collision with projectile and block attached to spring

    Homework Statement A projectile of mass m = 50g traveling at v0 = 20m/s hits a block of mass M = 450g. The block rests on a frictionless horizontal surface and is attached to a spring of force constant k = 2000N/m. The projectile ricochets backward off the block with speed v’ = 0.6v0. The...
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