If k s and k p respectively are effective spring constant in series and parallel combination of springs as shown in the figure, find k ⁡ s ⁡ k ⁡ p ⁡

Question

If k s and k p respectively are effective spring constant in series and parallel combination of springs as shown in the figure, find k ⁡ s ⁡ k ⁡ p ⁡, 9 2, 3 7, 2 9, 7 3

MARKS App · Accepted Answer

The effective spring constant k s of this arrangement is 1 k ⁡ s ⁡ = 1 k ⁡ + 1 2 k ⁡ 1 k ⁡ s ⁡ = 2 + 1 2 k ⁡ = 3 2 k ⁡ k ⁡ s ⁡ = 2 k ⁡ 3 The effective spring constant k p of this arrangement is k ⁡ p ⁡ = k ⁡ 1 + k ⁡ 2 = k ⁡ + 2 k ⁡ = 3 k ⁡ ∴ k ⁡ s ⁡ k ⁡ p ⁡ = 2 k ⁡ / 3 3 k ⁡ = 2 9

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