Question

If a stiffness of k is cut into 2 part a and b and length is la :lb is 2:3 then stiffness of a is

Answer 1

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If a spring of stiffness ‘k’ is cut into parts ‘A’ and ‘B’ of length ℓA : ℓB = 2 : 3, then the stiffness of spring ‘A’ is given by
(a) 3k/5
(b) 2k/5
(c) k
(d) 5/2k
4 years ago
Answers : (1)
(d) Here, ℓA = 2ℓ/5, ℓB = (3ℓ/5)
kℓ = kAℓA = kBℓB kℓ = kA(2ℓ/5
kA = 5k/2 kB =5k/3