   Chapter 17.3, Problem 6E

Chapter
Section
Textbook Problem

For the spring in Exercise 4, find the damping constant that would produce critical damping.

To determine

To find: The damping constant that produce critical damping.

Explanation

Given data:

The spring is stretched beyond its natural length, so x=0.25 , m=2kg , restoringforce=13N .

Formula used:

Write the expression for Hooke’s Law.

restoringforce=kx (1)

Here,

k is spring constant, and

x is difference between the natural length and length of due to force exerts.

Write the condition for critical damping,

c24mk=0 (2)

Here,

c is damping constant,

k is spring constant, and

m is mass.

Substitute 0.25m for x and 13N for restoring force in equation (1),

13N=k(0

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