Module 7—Oscillatory Motion

Read

 

At the start of this lesson, the frequency vibration of guitar strings was mentioned in reference to simple harmonic motion. Then, in the lab, you determined the factors that influence the period and frequency of a weighted spring. Find out how to determine the value of the frequency and period of the mass-spring system by reading pages 373 to 376 in your textbook.

 

Following are two other examples of how this is done.

 

Example Problem 2

 

Calculate the period of oscillation for a 6.00-kg mass hanging on a spring with a spring constant of 75.0 N/m.

 

Solution

 

     

 

Example Problem 3

 

A 1.00-kg mass hangs from a spring and oscillates with a frequency of 10.0 Hz. Calculate the spring constant.

 

Solution

 

 

 Self-Check

 

SC 12. An object hangs from a spring and oscillates with a frequency of 3.50 Hz. If the spring constant is 24.5 N/m, what is the mass of the object?

 

Check your work.
Self-Check Answers

 

SC 12.

 

Given

 

f = 3.50 Hz     
k = 24.5 N/m

 

Required

 

the mass of the object (m)

 

Analysis and Solution

 

     

 

Paraphrase

 

The object has a mass of 5.07 × 10–2 kg.

 

Module 7: Lesson 1 Assignment

 

Remember to submit the answers to TR 4 and TR 5 to your teacher as part of your Module 7: Lesson 1 Assignment.  

 

TR 4. A 78.5-kg man is about to complete a bungee jump. If the bungee cord has a spring constant of 150 N/m, determine the period of oscillation that he will experience.

 

TR 5. A 5.00-kg mass oscillates on a spring with a frequency of 0.667 Hz. Calculate the spring constant.