anonymous
  • anonymous
ques. of SHM
Physics
chestercat
  • chestercat
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anonymous
  • anonymous
five identical springs are used in the following threee configurations. the timeperiod of vertical oscillation in config. a) b) c) are in ratio?? |dw:1328977775731:dw|
anonymous
  • anonymous
dont tell the ratio thats the condition ok just tell me how can i solve
anonymous
  • anonymous
K eff for b is K+K/K^2 and for c its just K+K evaluate the rest

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anonymous
  • anonymous
if x is same means they are arranged in parallel na??
anonymous
  • anonymous
thats the trick to find out i guess
anonymous
  • anonymous
In a) If you stretch the mass by x then the spring extends by x, hence F=-kx. b) Suppose you stretch by x , the first spring would expand by x1 and the second spring would extend by x2, then x1+x2=x F/k1 + F/k2=F/k. 1/k=1/k1+ 1/k2. c) Again say x is extension then both springs exapnd by x hence F=-k1x-k2x or k=k1+k2.
anonymous
  • anonymous
unable to get u as here some springs are attached in paralel ans some are in series rit and i agree wid ur pont den i m not get how u done the b) ??
anonymous
  • anonymous
I'll take a general case of b) where the two spring constants are not equal, then if the mass moves by x, obviously both springs move down by some different amounts x1 and x2, but we can say x1+x2=x, as the net extension is still x. and x1=F/k1. This would be series. c) is parallel.
anonymous
  • anonymous
|dw:1328372813777:dw|
anonymous
  • anonymous
so now total exerting force by all this spring & then find out the ratio

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