Questions
Two springs of spring constants are joined in series. The effective spring constant of the-combination is given by:
detailed solution
Correct option is D
Let us consider two springs of spring constants k1 and k2 joined in series as shown in the figure.Under a force F, they will stretch by y1 and y2.So y = y1+y2or Fk = F1k1+F2k2but as springs are massless, so force on them must be the same, i,e., F1 = F2 = FSo, 1k = 1k1+1k2 or k = k1k2k1+k2Aliter: In series combination,1kS = 1k1+1k2 = k2+k1k1k2 ⇒kS = k1k2k1+k2Talk to our academic expert!
Similar Questions
A block of mass 100 g attached to a spring of spring constant is lying on a frictionless floor as shown in the figure. The block is moved to compress the spring by 10 cm and then released. If the collisions with the wall in front are elastic, then the time period of the motion is
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