Verifying Properties of SHM Using Vertical and Inclined Spring Systems

In summary, the vertical and inclined systems both had different results with regards to amplitude affecting period.
  • #1
TN17
47
0

Homework Statement



Our lab was to find the spring constant of the springs that we were using, and then verify the properties of SHM.
We used a vertical spring system AND an inclined spring system.
We used 3 different springs for both systems.
For the vertical system:
We hung the 3 springs and recorded how far it stretched for 2 different masses (50 g and 100 g). We also found the period for all of the springs.
For the inclined system:
We attached the 3 different springs each to a car, then measured the period of it for that spring.
Then we added the 100 g mass to each of the cars and recorded that period.

How can we verify the properties of SHM using what we have?
For example, can show that amplitude doesn't affect period?
We can't really compare the same spring with the same mass in the vertical system to the inclined system because we pulled down the springs at different lengths.
 
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  • #2
Hi TIN7,

Does your data reflect the fact that amplitude doesn't affect period?

Pulling down on the string at different lengths means you are providing more energy, and therefore a higher amplitude. So when you do this, do you have measurements for the period of oscillations?
 
  • #3
dacruick said:
Hi TIN7,

Does your data reflect the fact that amplitude doesn't affect period?

Pulling down on the string at different lengths means you are providing more energy, and therefore a higher amplitude. So when you do this, do you have measurements for the period of oscillations?

That's the thing - we couldn't really compare the vertical system to the inclined system with the same mass and spring.
FOr the vertical system, we had the 100g and 50 g masses, and we pulled down the springs by 1 cm.
For the inclined system, we only used the 100 g and the mass of the car, and we pulled down the springs by 5 cm this time.

(Because the ramp was longer and it was possible, but the vertical system was kind of short and if we pulled it down any further for the strongest spring, the mass would fly off.)
 
  • #4
If you have information recorded about the period of each of your trials, You should be able to make a graph of period versus mass. See if you can make a connection that supports your data from that.
 
  • #5
dacruick said:
If you have information recorded about the period of each of your trials, You should be able to make a graph of period versus mass. See if you can make a connection that supports your data from that.

Thank you. : )
 

FAQ: Verifying Properties of SHM Using Vertical and Inclined Spring Systems

What is SHM and how does it relate to spring systems?

SHM stands for Simple Harmonic Motion, which is a type of periodic motion where the system's position follows a sinusoidal pattern. This type of motion is commonly seen in spring systems, where the restoring force is directly proportional to the displacement from the equilibrium position.

How can we verify the properties of SHM using vertical spring systems?

To verify the properties of SHM using vertical spring systems, we can measure the period of oscillation and the amplitude of the spring's motion. We can also plot a graph of displacement vs. time, which should result in a sinusoidal curve. Additionally, we can vary the mass of the object attached to the spring and observe how it affects the period and amplitude of the motion.

Can we use inclined spring systems to verify the properties of SHM?

Yes, we can use inclined spring systems to verify the properties of SHM. The only difference is that the restoring force will now have a horizontal component in addition to the vertical component. This results in a slightly different equation for the period of oscillation, but the overall behavior of the system should still follow the principles of SHM.

What factors can affect the properties of SHM in a spring system?

The properties of SHM in a spring system can be affected by factors such as the mass of the object attached to the spring, the spring constant, the amplitude of the motion, and any external forces acting on the system. Friction and air resistance can also have an impact on the motion of the spring and affect the properties of SHM.

How can we use the data collected from these experiments to better understand SHM?

By analyzing the data collected from these experiments, we can determine the relationship between the variables (such as period, amplitude, mass, etc.) and how they affect the properties of SHM. This can help us better understand the principles of SHM and how they apply to different systems. We can also use the data to calculate other important quantities, such as the spring constant or the total energy of the system.

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