Two closely coiled helical springs with stiffness k1 and k2 respectively are connected in series. The stiffness of an equivalent spring is given by

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This question belongs to Mechanical Engineering Machine Design

Machine Design

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Two closely coiled helical springs with stiffness k₁ and k₂ respectively are connected in series. The stiffness of an equivalent spring is given by

A) $$\frac{{{{\text{k}}_1}{{\text{k}}_2}}}{{{{\text{k}}_1} + {{\text{k}}_2}}}$$ B) $$\frac{{{{\text{k}}_1} - {{\text{k}}_2}}}{{{{\text{k}}_1} + {{\text{k}}_2}}}$$ C) $$\frac{{{{\text{k}}_1} + {{\text{k}}_2}}}{{{{\text{k}}_1}{{\text{k}}_2}}}$$ D) $$\frac{{{{\text{k}}_1} - {{\text{k}}_2}}}{{{{\text{k}}_1}{{\text{k}}_2}}}$$

Answer & Solution

Correct Answer: Option A

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