Two closely coiled helical springs A and B are equal in all respects but for the number of turns, with A having just half the number of turns of that of B. What is the ratio of deflections in terms of spring A to spring B?

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Detailed Solution

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Concept:

For closed coil helical spring,

Where, R = radius of coil of spring, n = number of turns, G = modulus of elasticity and r = radius of wire of coils

From the above formula, it is clear that the deflection is directly proportional to the number of turns keeping all other parameters same.

Calculation:

Given,

Number of turns in spring A = ½ time the number of turns in B

We know,

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