08 Mar

Fig. Shows a particle of mass m = 100gm, attached with four identical springs, each of length l = 10cm. Initial tension in each spring is F0 = 25 newton. Neglecting gravity, calculate period of small oscillations of the particle along a line perpendicular to the plane of the figure.


  • prakhar March 8, 2011 at 3:29 pm

    2 pie/ (100*root 10) ……—-> seems incorrect . anyone else here…. ?

  • Amit Mishra March 8, 2011 at 5:32 pm

    i think we can first evaluate the net spring constant
    the springs arising from B and D will be in parallels so does the spring arising from A and C and their resultant will be in series!!!!
    k of each spring is 2.5
    so the net spring constant is knet=2.5 (by law 0f series and parallel)
    as the block will execute SHM T=2*pi*sqrt(m/k)
    by susitutig values we can get answer

  • rishabh March 9, 2011 at 2:06 pm

    is the setup on a horizonzal surface?
    and is ‘l’ natural length of spring or initial extended length?

  • asin November 19, 2013 at 11:26 pm

    prakar is right. What other say?

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