BPCC Factors Affecting the Frequency of A Simple Harmonic Oscillator Question

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Bossier Parish Community College

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Name: Section Date FACTORS AFFECTING THE FREQUENCY OF A SIMPLE HARMONIC OSCILLATOR OBJECTIVE: To investigate the dependence of the frequency of oscillation on the following physical quantities: amplitude, spring constant and mass. MATERIALS masses-and-springs-en.html, spreadsheet ONLINE RESOURCES Masses and Springs PhET simulation: https://phet.colorado.edu/sims/html/masses-andsprings/latest/masses-and-springs_en.html PROCEDURE Frequency and Amplitude of Oscillation 1. Open the Masses and Springs PhET simulation. Select LAB. 2. Set the following parameters: Simulation Mass Spring Constant Mass Equilibrium Movable Line Gravity Damping Simulation Speed PAUSED 50 g “Large” Enabled Enabled Earth None Slow 3. Hook the 50-g mass and adjust the position of the movable line tracer 20 cm below the equilibrium line. This will be the starting position of the 50-g mass. 4. Start the simulation by clicking on the Pause/Play button. Using the built-in stopwatch, determine the time it takes the 50-g mass to make 10 complete oscillations. Make two trials. Ferdinand S. Bautista, Manila Science High School Name: Section Date 5. Adjust the starting position to 40 cm and repeat procedure no. 4. Record your measurements and calculations in Data Table I. Data Table 1 Time for 10 complete oscillations (s) Trial 1 Trial 2 Ave. Starting Position Frequency (Hz) 20 cm 40 cm QUESTIONS: Frequency and Spring Constant • What does the starting/initial position of the 50-g mass represent? • What happens to the length of the path travelled by the 50-g mass when the starting position is increased from 20 cm to 40 cm? What happens to its speed? • Does the starting position of the object affect the frequency of the object-spring system? Explain. 1. Set the following parameters: Simulation Mass Spring Constant 1 Mass Equilibrium Movable Line Gravity Damping Simulation Speed Starting position from equilibrium line PAUSED 50 g 1 unit from “Small” Enabled Enabled Earth None Slow 30 cm 2. Run the simulation by clicking on the Start/Stop button. Determine the frequency of oscillation of the 50-g mass. 3. Using the same parameters in (1), make several trials, each time, increasing the spring constant by 2 units from “Small” until the spring constant = 9 units. In each trial, make sure that the starting position is always kept at 30 cm below the equilibrium line. Summarize your measurements in Data Table 2. Data Table 2 Spring constant k Frequency of Oscillation 1 3 5 Ferdinand S. Bautista, Manila Science High School Name: Section Date 7 9 4. Using a spreadsheet, plot the values of the frequency against the values of the spring constant. Describe the graph formed. 5. Plot the values of f2 against the values of k. Describe the graph formed. QUESTIONS: • What happens to the frequency of oscillation of the mass-spring system as the spring constant increases? • What does the graph of f2 against k suggest about the relationship between the frequency and the spring constant? Explain Frequency and Mass 1. Set the following parameters: Simulation Mass Spring Constant 1 Mass Equilibrium Movable Line Gravity Damping Simulation Speed Starting position from equilibrium line PAUSED 50 g LARGE Enabled Enabled Earth None Slow 30 cm 2. Run the simulation. Determine the frequency of oscillation of the 50-g mass. 3. Using the parameters in (1), make several trials, in each time increasing the mass of the object by 50 g until the mass equals 300 g. For each trial, make sure to set the starting position from the equilibrium line to 30 cm. Enter your measurements in Data Table 3 Data Table 3 Mass (g) Frequency of Oscillation (Hz) 50 100 150 200 250 300 Ferdinand S. Bautista, Manila Science High School Name: Section Date 4. Plot the values of the frequency against the values of the mass. Describe the graph formed. 5. Plot the values of f2 against the values of 1/m. What is the shape of the graph? QUESTIONS: • What happens to the frequency of oscillation as the mass of the oscillator increases? • What does the graph of f2 against 1/m suggest about the relationship between f and m? Explain. CONCLUSION(S) GOING FURTHER In the simulation, the mass of the blue and the red weights are not known. Develop a procedure on how you will determine the masses of these objects. Ferdinand S. Bautista, Manila Science High School
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Factors Affecting the Frequency of a Simple Harmonic
Oscillator
Data Table 1:
Starting
Position
20 cm
40 cm

Time for 10 complete oscillations
(s)
Trial 1
Trial 2
Ave.
4.07
4.08
4.075
4.07
4.08
4.075

Frequency
(Hz)
0.4075
0.4075

Questions:


What does the starting/initial position of the 50-g mass represent?
The starting/initial position of the 50-g mass is where we determine whether an
oscillation has been made. Once the spring attached to the 50-g mass reaches its
starting/initial position, a single oscillation has been made.
So, to time the 10 complete oscillations, it is pertinent to take the into account the
starting/initial position.



What happens to the length of the path travelled by the 50-g mass when the
starting position is increased from 20 cm to 40 cm? What happens to its speed?
The length of the pa...


Anonymous
Just what I was looking for! Super helpful.

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