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Chapter 4: Q25P (page 166)

If a chain of 50identical short springs linked end to end has a stiffness of 270N/m, what is the stiffness of one short spring?

Short Answer

Expert verified

The stiffness of the one short spring is 1.35脳104N/m.

Step by step solution

01

Identification of given data

The given is listed as follows:

  • Number of springs is 50
  • The stiffness of the spring is,kt=270N/m
02

Significance of the stiffness of spring

The stiffness of a spring is described as the ability of a particular material for resisting the deformation of a particular object.

The concept of the stiffness gives the stiffness of one short spring.

03

Calculation for the stiffness of one short spring

When the springs are calculated in the series form then the equation of the stiffness is expressed as follows:

1kt=1k+..............+50k

Here, ktis the total stiffness of the spring and k is the stiffness of one spring.

Substitute all the values in the above equation.

1270N/m=50kk=1.35脳104N/m

Thus, the stiffness on one spring is 1.35脳104N/m.

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