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The deflection of a spring with 20 active turns under a load of 1000 N is 10 mm. The spring is made into two pieces each of 10 active coils and placed in parallel under the same load. The deflection of this system is
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- 20 mm
- 10 mm
- 5 mm
- 2.5 mm
Correct Option: D
Where; n = 20 P = 1000 N
∆x = 10 mm
F = K∆x
| K = | = 100 N /mm | |
| ∆x |
When a spring is cut into two pieces, no of coils get halved
∴ Stiffness of each half coiled get doubled
The stiffness when connected in parallel = 2k + 2k = 4k
P = K∆x
| ∆x = | = | = 2.5 mm | ||
| k | 4 × 100 |
