Physics: Principles with Applications
Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Chapter 11, Problem 7P

(a)

To determine

To find: The spring constant value.

(a)

Expert Solution
Check Mark

Answer to Problem 7P

The value of spring constant is k=0.158 N/m .

Explanation of Solution

Given:

Mass of spider, M = 0.25×103 kg .

Frequency of vibration, v = 4 Hz .

Formula used:

Write the expression for time period.

  T =2πmkν=1T

Here,

  m is mass on spring,

  k is spring constant,

  ν is frequency of oscillation,

  T is time period of spring.

Calculation:

Substituting the given values

  v=12πkm

  4=12πk0.25×103 

  k=0.158 N/m

Conclusion:

Thus, the value of spring constant is k=0.158 N/m

(b)

To determine

To find: The value of frequency.

(b)

Expert Solution
Check Mark

Answer to Problem 7P

The frequency of vibrations is 2.83Hz .

Explanation of Solution

Given:

Mass of insect m=0.5×103 kg

Formula used:

Time period of oscillation of spring.

  T =2πmkν=1T

Here,

  m is mass on spring,

  k is spring constant,

  ν is frequency of oscillation,

  T is time period of spring.

Calculation:

Substituting the given values

  v=12πkm

  v=12π0.1580.50×103=2.83Hz

Conclusion:

Thus, the frequency of vibrations is 2.83Hz .

Chapter 11 Solutions

Physics: Principles with Applications

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