we say that the mass has moved through one cycle, or oscillation. the spring will exert a force on the body given by Hooke's Law, namely. Subject-Physices-Professor V. Hooke's Law and Simple Harmonic Motion Lab Report Introduction: This lab is set up for us to to be able to determine the spring constant with two different methods and the gravitational acceleration with a pendulum. However, despite displaying clear terms on our sites, sometimes users scan work that is not their own and this can result in content being uploaded that should not have been. If the mass is tripled, t squared should triple also. If the body in Figure 4 is displaced from its equilibrium position some
and counted the cycles, and the last partner had timed the process. In simple harmonic motion, the acceleration of the system, and therefore the net force, is proportional to the displacement and acts in the opposite direction of the displacement. 12 0 obj body's average velocity. What is the uncertainty in the position measurements? This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. ( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. I need help with understanding the purpose of this lab. This restoring force is what causes the mass the oscillate. The period, T, of a pendulum of length L undergoing simple harmonic motion is given by: T = 2 L g. Thus, by measuring the period of a pendulum as well as its length, we can determine the value of g: We also worry that we were not able to accurately measure the angle from which the pendulum was released, as we did not use a protractor. We also found that our measurement of \(g\) had a much larger uncertainty (as determined from the spread in values that we obtained), compared to the \(1\)% relative uncertainty that we predicted. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. In simple harmonic motion, the acceleration of the system, and therefore the net force, is proportional to the displacement and acts in the opposite direction of the displacement. Simple harmonic motion is the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hookes Law. This page titled 27.8: Sample lab report (Measuring g using a pendulum) is shared under a CC BY-SA license and was authored, remixed, and/or curated by Howard Martin revised by Alan Ng. This study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods. In this paper, we are going to study about simple harmonic motion and its applications. endobj To install StudyMoose App tap Lab. values can balance larger forces than springs with low
Download the full version above. should print-out the Questions section and answer them individually. First, when you move away from the center of the balance is the strength of the system is again made to equilibrium, the force exerted is proportional with the shift by the system, and the example that weve had (installed by the spring mass) achieves two features. We suspect that by using \(20\) oscillations, the pendulum slowed down due to friction, and this resulted in a deviation from simple harmonic motion. PHYSICS FOR MATRICULATIONhttps://www.youtube.com/channel/UCxufRv3fcM-zbJEISrm3YEg?sub_confirmation=1#SP015 #PHYSICS # SEM1 #MATRICULATION LEVEL #DRWONGPHYSICS We will determine the spring constant,
Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. where
It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. This was proved experimentally with incredible accuracy. Holes open fully Holes open partially this force exists is with a common helical spring acting on a body. What is the uncertainty in the mass measurements? undergoes an arbitrary displacement from some initial position,
This is not a team activity. indicates that the spring is stiff. is known as the spring force. If so, what equipment would you need and what parameters would you
The same thing should happen if the mass stays constant and the spring constant is doubled. When an oscillating mass (as in the case of a mass bouncing on a spring)
That number will be your delta x. We started with a mass of , and then proceeded to add mass in units of , until a final mass of was reached. After graphing forces versus displacement, a value of 3.53 N/m was determined as the spring constant. It is important to make the additional note that initial energy that is initially given to the spring from the change is position, in the form of potential energy, would be perfecting conserved if friction played no role & the spring was considered perfectly elastic. When a spring is hanging vertically with no mass attached it has a given length. (1) Linear Simple Harmonic Motion: When a particle moves back and forth along a straight line around a fixed point (called the equilibrium position), this is referred to as Linear Simple Harmonic Motion. We plan to measure the period of one oscillation by measuring the time to it takes the pendulum to go through 20 oscillations and dividing that by 20. Does the best-fit line of your graph fall within the data points' error
1. This conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. . In the first part of this lab, you will determine the period, T, of the spring by . . This is shown below in Graph 1 below is for all the masses. It should be noted that the period of
We reviewed their content and use your feedback to keep the quality high. Simple Harmonic Motion: Mass On Spring The major purpose of this lab was to analyze the motion of a mass on a spring when it oscillates, as a result of an exerted potential energy. The considerable success of Boolean function analysis suggests that discrete harmonic analysis could likewise play a central role in theoretical computer science._x000D__x000D_The goal of this proposal is to systematically develop discrete harmonic analysis on a broad variety of domains, with an eye toward applications in several areas of . 3 14.73 5 2.94 14.50 0.20 5 The values of k that you solve for will be plugged into the formula: T = 2 (pi) (radical m/k). Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O).
In a simple pendulum, moment of inertia is I = mr, so 2 T =. >> If the hanging mass is displaced from the equilibrium position and released, then simple harmonic motion (SHM) will occur.
We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. The best examples of simple harmonic motion are installed bloc in the spring. The uncertainty is given by half of the smallest division of the ruler that we used. This way, the pendulum could be dropped from a near-perfect \(90^{\circ}\) rather than a rough estimate. Question: Hello,I am needing a little help improving my lab report. Back again for example, when the bloc move away from the position of the balance making the spring restoring force even return it back to its former position, and the closer bloc of equilibrium decreasing power restoration gradually because it fit with the shift, so at the position of the balance of the force non-existent on the block, but bloc retains some of the amount of movement of the previous movement so they do not stop at the balance center, but extends and then restore power appear again and b are slowed down gradually until zero speed at the end and up to the position of the balance in the end. It will be interesting to understand what gives the mass the oscillating property.It should be a combination of the springs properties and the sheer amout of mass it self. We transcribed the measurements from the cell-phone into a Jupyter Notebook. CONCLUSION AND EVALUATION (CE) This goal of this experiment was to determine an experimental value for g using the . [2] North Carolina State University Physics. All of our measured values were systematically lower than expected, as our measured periods were all systematically higher than the \(2.0\text{s}\) that we expected from our prediction. Specifically how it oscillates when given an initial potential energy. TA. Simple harmonic motion is the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hooke's Law. The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. The position of the mass before the spring is charged, the path of the mass, the peak of the oscillation, as well as the force the mass and the spring exert on each other. This motion is periodic, meaning the displacement,
where
In this experiment, we measured \(g=(7.65\pm 0.378)\text{m/s}^{2}\). In this lab, we will observe simple harmonic motion by studying masses on springs. Copyright 2023 StudeerSnel B.V., Keizersgracht 424, 1016 GC Amsterdam, KVK: 56829787, BTW: NL852321363B01, Business Law: Text and Cases (Kenneth W. Clarkson; Roger LeRoy Miller; Frank B. Essay Sauce, Simple Harmonic Motion - lab report . Simple harmonic motion. If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). Give us your email address and well send this sample there. shocks are made from springs, each with a spring constant value of. Abstract. The restoring force in this system is given by the component of the weight mg along the path of the bob's motion, F = -mg sin and directed toward the equilibrium. The purpose of this lab is to find the force constant of a spring and to also study the motion of a spring with a hanging mass when vibrating under the influence of gravity. Under the influence of gravity on Earth, it, Write name and date. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. Use the apparatus and what you know about. It was concluded that the mass of the pendulum hardly has any effect on the period of the pendulum but the . For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. The motion of a simple pendulum is one of the phenomena that can be used to approximate the simple harmonic motion. Consider a particle of mass 'm' exhibiting Simple Harmonic Motion along the path x O x. We recorded these oscillations with data studio for about 10 seconds. Get your custom essay on, Get to Know The Price Estimate For Your Paper, "You must agree to out terms of services and privacy policy". A simple pendulum consists of a small-diameter bob and a string with a tiny mass but, enough strength to not to stretch significantly. interesting expression for its period by looking into it a little more. These Questions are also found in the lab write-up template. Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. as shown in Figure 2, Newton's Second Law tells us that the magnitude
as you perform the experiment. One cycle of kinematics, including . That potential energy would simply be converted to kinetic energy as the mass accelerated reaching a maximum proportion of kinetic energy when the mass passed the midway point. This sensor was set to a frequency of. Course Hero is not sponsored or endorsed by any college or university. What mass values will you use for this experiment? The pendulum was released from \(90\) and its period was measured by filming the pendulum with a cell-phone camera and using the phones built-in time. A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. 5: A felt-tipped pen attached to the end of the beam We achieved percent error of only. We thus expect that we should be able to measure \(g\) with a relative uncertainty of the order of \(1\)%. Lab report no 2 pemdulum phyisc 212 1. The circuit is exquisitely simple - body to move through one oscillation. This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. The spring force must balance the weight of the added mass
We then moved into the second portion of our lab, which was to analyze the path of the mass as it was given an initial charge. /Supplement 0 For example in Figure 3, the initial position of
What was the goal of the simple pendulum experiment? * This essay may have been previously published on Essay.uk.com at an earlier date. A toy maker requires a spring mechanism to drive an attached component with a
Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. or the slotted ones? Sign in|Recent Site Activity|Report Abuse|Print Page|Powered By Google Sites, Lab 3: Simple Harmonic motions Spring/Mass Systems Lab. The IV of our experiment was the changes in the mass we made, the DV was the outcome of the frequency, and the constants were the type of spring we used as well as the amplitude. In this experiment the mass will be described as a function of time and the results will be used to plot the kinetic and potential energies of the system. Procedure. This type of motion is characteristic of many physical phenomena. We repeat this experiment also 2-3 time, after that we start the calculation and the measurement. 2 14.73 5 2.94 14.50 0.20 5 Simple Harmonic Motion Lab Report. Show the following calculations using the trendline fit equation from the Excel graph of Part 1: The spring constant k = 472 x 0.3304 = 13.04 N/m The uncertainty in the spring, Data and Analysis Part A: Finding the inverse of one vector Make a prediction of the correct weight and direction to balance the given force. . . is the body's displacement. These cookies track visitors across websites and collect information to provide customized ads. You can view ourterms of use here. Tibor Astrab 4 Background Physics Simple Harmonic Motion - SHM A Simple Harmonic Motion is an oscillation in which the acceleration is directly proportional to the displacement from the mid-point, and is directed towards the mid-point. First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. c"p. This experiment is about simple harmonic motion which also involves the periodic motion or, also defined as a regular motion that repeats itself in waves. The period, \(T\), of a pendulum of length \(L\) undergoing simple harmonic motion is given by: \[\begin{aligned} T=2\pi \sqrt {\frac{L}{g}}\end{aligned}\]. study the effects, if any, that amplitude has on the period of a body
The period for one oscillation, based on our value of \(L\) and the accepted value for \(g\), is expected to be \(T=2.0\text{s}\). or the change in the position; or both? for 14-16. It was concluded that the, mass of the pendulum hardly has any effect on the, period of the pendulum but the length on the other, hand had a significant effect on the period. 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 This cookie is set by GDPR Cookie Consent plugin. The cookie is used to store the user consent for the cookies in the category "Other. Once that was done, we measured an amplitudeof 3cm from the starting point using a ruler. }V7 [v}KZ .
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In these equations, x is the displacement of the spring (or the pendulum, or whatever it is that's in simple harmonic motion), A is the amplitude, omega is the angular frequency, t is the time, g . Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . /Length 33985 /Filter /FlateDecode Now we start to open the speed control on and move the beam to start the graph on the chard, we turn the top plot on slightly to close the hole of dashpot.
This problem should be solved using the principles of Energy Conservation. In other words, the spring
When a box of unknown mass is placed into the trunk of a car, both rear
As the stiffness of the spring increases (that is, as
They must be answered by
The time it takes for a mass to go through an entire oscillation is what is known as a period, a the period of a mass on a spring is dependent of two variables. and then Add to Home Screen.
This movement is described with a capacity of vibration (which is always positive) and the time the league (the time it takes the body to work full vibration) and frequency (number of vibrations per second) and finally phase, which determines where the movement began on the curve, and have both frequency and time constants league either vibration and phase capacity are identified by primary traffic conditions. , and then proceeded to add mass in units of. as "5 Gas Law.doc". The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 By taking the measurements of the. Fig 4. Here the constant of proportionality,
Conclusion: The rest of the first part requires you to add 20 grams to the hanging mass and then measuring how far the sliding mass has moved for the equilibrium position. At the University of Birmingham, one of the research projects we have been involved in is the detection of gravitational . Conclusion From our experiment, I conclude that the period of a pendulum depends on length primarily and agrees with the theory that says for a simple pendulum, . What quantities will you plot in order to determine. period of 0.50s. It is also possible to
V= length (m) / time (s) During this experiment, the effects that the size of an object had on air resistance were observed and determined. A good example of SHM is an object with mass m attached to a spring on a frictionless surface, as shown in Figure 15.2.2. The cookie is used to store the user consent for the cookies in the category "Analytics". Lab 1 Summary - Covers the "Data Analysis" lab ; Lab 2 Summary - Covers the "Free Fall-Measure of "g" lab; Lab 9 Summary - Covers the "Mechanical Waves" lab; PH-101 lab #9 - Lab report; Lab Report - Simple Pendulum What oscillation amplitude will you use for this experiment? If the mass of the component is 10g, what must the value
of simple harmonic motion and to verify the theoretical prediction for the period of. is always opposite the direction of the displacement. During the lab assignment, the natural frequency, damping and beam oscillations are measured. Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. oscillating in a simple harmonic motion (SHM). My partners and I do believe though that we should've done more than three trials in order to get more precise and accurate data. Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features. Simple Harmonic Motion Equation. By knowing the velocity in the second part, you can find kinetic energy and potential energy of the oscillating mass. The length of the arc represents the linear, deviation from equilibrium. This sensor was set to a frequency of . We expect that we can measure the time for \(20\) oscillations with an uncertainty of \(0.5\text{s}\). This conclusion meets our objective to find the relationship between Mass and F in a spring. 692. Conversely, an increase in the body's mass
These cookies ensure basic functionalities and security features of the website, anonymously. The exercises carried out involved recording the position of . All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. When the mass travels from the
Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 website builder. In physics, Hooke's law is an empirical law which states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with respect to that distancethat is, F s = kx, where k is a constant factor characteristic of the spring (i.e., its stiffness), and x is small compared to the total possible deformation of the spring. ,
This was the most accurate experiment all semester. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact, . Purpose. This was shown clearly in our data. Course Hero is not sponsored or endorsed by any college or university. Convert the magnitude to weight, The customer uses their computer to go the Find Your Food website and enters their postcode. stream The time it takes for a mass to go through an entire oscillation is what is known as a period, a the period of a mass on a spring is dependent of two variables. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. We repeated this measurement five times. The reason why, has a negative value is to show that the force exerted by the spring is in the opposite direction of. After we recorded the data, we did two more trials using two more different spring constants. this equation can be written as. maximum displacement
This correspond to a relative difference of \(22\)% with the accepted value (\(9.8\text{m/s}^{2}\)), and our result is not consistent with the accepted value. when the mass increases the frequency decreases. With no mass the position of the bottom of the spring was also measured with a ruler from the surface of the table our apparatus was resting. an academic expert within 3 minutes. Students looking for free, top-notch essay and term paper samples on various topics. The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody 10). Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. For a spring-mass system, such as a block attached to a spring, the spring force is responsible for the oscillation (see Figure 1). Extension: Have students repeat their procedure using two springs in series and two springs in parallel with the same masses . The values were subtracted by one another to give a period the results are shown in table 2.1. Report, Pages 2 (368 words) Views. In this experiment, you will determine the experimental and theoretical period of a spring, the kinetic energy and potential energy by measuring the spring constant and velocity of a spring. values. Lab Report 10: Briefly summarize your experiment, in a paragraph or two, and include any experimental results. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq.
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