If a compression coil spring of stiffness 10 Nm is cut into two equal parts and the used in parallel the equivalent spring stiffness will be :

Q. If a compression coil spring of stiffness 10 Nm is cut into two equal parts and the used in parallel the equivalent spring stiffness will be :

A

10 Nm

B

20 Nm

C

40 Nm

D

80 Nm

Solution:

When the spring is cut into two, the no.of coils get halved. therefore, stiffness of each coil get doubled.
When these are connected in parallel, the equivalent spring stiffness = 2k=4k.
Here equivalent stiffness = 4 x 10 Nm = 40 Nm.

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