   Chapter 17.3, Problem 5E

Chapter
Section
Textbook Problem

For the spring in Exercise 3, find the mass that would produce critical damping.

To determine

To find: The mass that produce critical damping.

Explanation

Given data:

The spring is stretched beyond its natural length, so x=0.5 , restoringforce=6N , damping constant=14 .

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 0.5m for x and 6N for restoring force in equation (1),

6N=k(0.5m)k=6N0

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