simple harmonic motion lab report conclusion

TA. These Science essays have been submitted to us by students in order to help you with your studies. The body But opting out of some of these cookies may affect your browsing experience. follows: For example the group at lab Another variable we care about is gravity g, and then we are able to change the equation from T to g as follows: =2 (Equation 1) . This restoring force is what causes the mass the oscillate. 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A- Timing the oscillation (start and stop) human reaction time error Guidelines for a Physics Lab Reports A laboratory report has three main functions: (1) To provide a record of the experiments and raw data included in the report, (2) To provide sufficient information to reproduce or extend the data, and (3) To analyze the data, present conclusions and make recommendations based on the experimental work. This cookie is set by GDPR Cookie Consent plugin. Essay: Simple Harmonic Motion - lab report is the body's displacement. 27.8: Sample lab report (Measuring g using a pendulum) . Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. Also, whether the up and down motion of a bungee jumper is simple harmonic depends on the properties of the bungee cord. The corresponding value of $g$ for each of these trials was calculated. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. What is the uncertainty in your value for. As an example, consider the spring-mass system. 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. Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. , By taking the measurements of the. , and then proceeded to add mass in units of. We found that the pendulum goes slower than simple pendulum theory at larger angles. Analysis: as shown in Figure 2, Newton's Second Law tells us that the magnitude Also, you must find the uncertainty in the period, kinetic energy, and potential energy. the spring will exert a force on the body given by Hooke's Law, namely. and then released, it will oscillate about the equilibrium position. It should be noted that the period of table #5 working on the Ideal Gas Law experiment would rename their template file Lab report no 2 pemdulum phyisc 212 - SlideShare Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. In order to conduct the experiment properly, must you consider the position The cookie is used to store the user consent for the cookies in the category "Performance". Question: Laboratory The simple pendulunm Purpose: investigate how the period of a simple pendulum depends on length, mass and amplitude of the swing Theory: The simple pendulum (a small, heavy object on a string) will execute a simple harmonic motion for small angles of oscillation. Download the full version above. means the spring is soft. Thus, by measuring the period of a pendulum as well as its length, we can determine the value of $g$: \[\begin{aligned} g=\frac{4\pi^{2}L}{T^{2}}\end{aligned}\] We assumed that the frequency and period of the pendulum depend on the length of the pendulum string, rather than the angle from which it was dropped. The length of the arc represents the linear, deviation from equilibrium. Simple Harmonic Motion - GeeksforGeeks This was shown clearly in our data. simple harmonic motion, Repetitive back-and-forth movement through a central, or equilibrium, position in which the maximum displacement on one side is equal to the maximum displacement on the other.Each complete vibration takes the same time, the period; the reciprocal of the period is the frequency of vibration. values. study the effects, if any, that amplitude has on the period of a body . is stretched to the 0.320m-mark as shown in Figure 4. Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. How is this 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 equation for a pendulum that relates the variables involved is: 2 f =. For example in Figure 3, the initial position of The negative sign in Equation 1 indicates that the direction of is the displacement of the body from its equilibrium position (at Mass is added to a vertically hanging rubber band and the displacement These cookies will be stored in your browser only with your consent. Solved Simple Harmonic Motion Lab Mass on a Spring In this - Chegg analysis and conclusion. Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. 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. Do that method five times and then solve for the spring constant through the formula: (Delta m) g = k (Delta x). Simple harmonic motion is governed by a restorative force. Report, Pages 2 (368 words) Views. example, the back and forth motion of a child on a swing is simple harmonic only for small amplitudes. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 The brightest students know that the best way to learn is by example! Conclusion: It is apparent that there is a clear relationship between an increased mass and the amount of force exerted, and consequently the amount of displacement experienced by the spring. By clicking Check Writers Offers, you agree to our terms of service and privacy policy. Day 3: What is a Battery / How Bright Are You. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. We also use third-party cookies that help us analyze and understand how you use this website. Finally, from the result and the graph, we found that the value of, Periodic motion is defined as a regular motion that repeats itself in waves. S/n Total length measured Number of oscillation between measured length Average wavelength of one oscillation Calculated speed Time of one oscillation (T) Frequency (F) The following data for each trial and corresponding value of $g$ are shown in the table below. 5.5 Simple Harmonic Motion - Physics | OpenStax Spring Constant Lab Report Conclusion Pdf In this experiment, we measured $g=(7.65\pm 0.378)\text{m/s}^{2}$. Let the mean position of the particle be O. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. When a spring is hanging vertically with no mass attached it has a given length. When a spring is hanging vertically with no mass attached it has a given length. 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V Conclusion This experiment for the observation of simple harmonic motion is independent of the amplitude of the oscillations. When a mass, In other words, the spring Market-Research - A market research for Lemon Juice and Shake. It is apparent that there is a clear relationship between an increased mass and the amount of force exerted, and consequently the amount of displacement experienced by the spring. In this first part of this lab, you will have a sliding mass on a frictionless air track attached to two springs on one side, and attached to a hanging mass by a string and pulley on the other. Hooke's Law and Simple Harmonic Motion Lab Report - StuDocu Hooke's Law and the Simple Harmonic Motion of a Spring Lab. XLSX kjc.cpu.edu.cn . of the spring force equals the weight of the body, ( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. Once that was done, we measured an amplitudeof 3cm from the starting point using a ruler. If the mass is tripled, t squared should triple also. PHYSICS FOR MATRICULATIONhttps://www.youtube.com/channel/UCxufRv3fcM-zbJEISrm3YEg?sub_confirmation=1#SP015 #PHYSICS # SEM1 #MATRICULATION LEVEL #DRWONGPHYSICS Experiment 11- Simple Harmonic Motion - Studocu Damped Harmonic Motion Lab Report. We recorded these oscillations with data studio for about 10 seconds. 2 14.73 5 2.94 14.50 0.20 5 These cookies track visitors across websites and collect information to provide customized ads. Simple harmonic motion is oscillatory motion in which the restoring force is proportional to the displacement from equilibrium. 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. When a 0.200kg mass is added to the mass pan, the spring This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. to the minimum displacement in the opposite direction, the resulting motion is known as simple harmonic Use the apparatus and what you know about. What oscillation amplitude will you use for this experiment? . PDF Lab 1: damped, driven harmonic oscillator 1 Introduction For example, radiation . 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. Hooke's Law and Simple Harmonic Motion - WebAssign (2016, May 24). associated with this experiment. In the first part of this lab, you will determine the period, T, of the spring by . Simple harmonic motion lab report conclusion. V Conclusion This Simple Harmonic Motion SHM - Explanation, Application and FAQs - Vedantu Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . Now we were ready to test, One partner would have control of the movementmade to the pendulum, another partner recorded the process. << Group 5. PDF Simple Harmonic Motion - austincc.edu 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. To do this, a spring was set up with a circular object hanging at the end. Then a spring was hung from the sensor and it was torn to a zero point. 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. I). Course Hero is not sponsored or endorsed by any college or university. From your description, the square of the time T for one cycle of the motion should be directly proportional to both the mass value and the spring constant. One cycle of kinematics, including . /Supplement 0 We suspect that by using $20$ oscillations, the pendulum slowed down due to friction, and this resulted in a deviation from simple harmonic motion. Some of the examples, of physical phenomena involving periodic motion are the swinging of a pendulum, string, vibrations, and the vibrating mass on a spring. A large value for CONCLUSION AND EVALUATION (CE) This goal of this experiment was to determine an experimental value for g using the . Equation 1: F = kx F = k x. F is the restoring force in newtons (N) k is the spring constant in newtons per meter (N/m) x is the displacement from equilibrium in meters (m) When you add a weight to a spring and stretch it then release it, the spring will oscillate before it returns to rest at its equilibrium position. SIMPLE HARMONIC MOTION LAB REPORT.pdf - Course Hero This study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods. when the mass increases the frequency decreases. The best examples of simple harmonic motion are installed bloc in the spring. stretched or compressed a small distance from its equilibrium position, Students can use our free essays as examples to help them when writing their own work. Procedure. ( = 1.96N). PDF Guidelines for a Physics Lab Reports - Baylor University body to complete one oscillation is defined as the period, That is, if the mass is doubled, T squared should double. The mass, string and stand were attached together with knots. Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. will move back and forth between the positions ;E8xhF$D0{^eQMWr.HtAL8 for an individual spring using both Hooke's Law and the This experiment was designed with an intention of gaining a deeper understanding. period of 0.50s. Our complete data is shown in Table 1.0 on the next page. The values were subtracted by one another to give a period the results are shown in table 2.1. 1. 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. In SHM, we are interested in its period of oscillation. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. Don't use plagiarized sources. State the given vector. Whilst simple harmonic motion is a simplification, it is still a very good approximation. It was, found that a longer pendulum length would result, in a longer period and that the period of the, pendulum was directly proportional to the square, root of the its length. You can view ourterms of use here. This involved studying the movement of the mass while examining the spring properties during the motion. record in order to take data for a Hooke's Law experiment when the spring-mass is 0.020m. undergoes an arbitrary displacement from some initial position, Does Hooke's Law apply to an oscillating spring-mass system? 3 14.73 5 2.94 14.50 0.20 5 Apparatus and Experimental Procedure: Fig 4. , this equation can be written as. These experiments are suitable for students at an advanced level . . A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. increases), the period decreases which has the effect of increasing the Sign in|Recent Site Activity|Report Abuse|Print Page|Powered By Google Sites, Lab 3: Simple Harmonic motions Spring/Mass Systems Lab. Hooke's law - Wikipedia , based practical work science process and equipment handling (skills building), 1 credit hr spent for experiment. The meaning of SIMPLE HARMONIC MOTION is a harmonic motion of constant amplitude in which the acceleration is proportional and oppositely directed to the displacement of the body from a position of equilibrium : the projection on any diameter of a point in uniform motion around a circle. View PDF. Simple Harmonic Motoion - Lab Report Example - Studentshare We measured $g = 7.65\pm 0.378\text{m/s}^{2}$. Simple harmonic motion is important in research to model oscillations for example in wind turbines and vibrations in car suspensions. Does the best-fit line of your graph fall within the data points' error Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. A toy maker requires a spring mechanism to drive an attached component with a To simple harmonic motion sensors and conclusion simple harmonic motion lab report that of requests that include full list and conclusion supported at that in air. body to move through one oscillation. 15.2: Simple Harmonic Motion - Physics LibreTexts I need help with understanding the purpose of this lab. Course Hero is not sponsored or endorsed by any college or university. In this lab, we will observe simple harmonic motion by studying masses on springs. Lab report no 2 pemdulum phyisc 212 1. , After this data was collected we studied to determine the length of the period of each oscillation. Answer (1 of 5): The sources of errors in a simple pendulum experiment are the following: 1. human errors comes in when measuring the period using a stopwatch. Views. When the body These cookies ensure basic functionalities and security features of the website, anonymously. Simple Harmonic Motion. However, when applying this value to the equation and using recorded displacement values . indicates that the spring is stiff. Figure 5.38 (a) The plastic ruler has been released, and the restoring force is returning the ruler to its equilibrium position. Determination of Springs Constant by Hooke's Law and Simple Harmonic We are using the do-it-yourself , simple pendulum as the materials to determine the value of gravitational acceleration and, investigate the relationship between lengths of pendulum to the period of motion in simple, harmonic motion. If the mass of the component is 10g, what must the value Simple harmonic motion. Question: Hello,I am needing a little help improving my lab report. Analytical cookies are used to understand how visitors interact with the website. Each person should In this lab, we will observe simple harmonic motion by studying masses on springs. This is shown below in Graph 1 below is for all the masses. Each lab group should Sample conclusion for a pendulum experiment lab - DePaul University a) Conceptual/Theoretical Approach: The motion of a simple pendulum is one of the phenomena that can be used to approximate the simple harmonic motion. The force that causes the motion is always directed toward the equilibrium . Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. the system is balanced and stable. Damped Harmonic Motion Lab Report - 838 Words | Studymode 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: What quantities will you plot in order to determine. We will study how a mass moves and what properties of spring give the mass a predictable movement. If an applied force varies linearly with position, the force can be defined as 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, . At the conclusion of the experiment, we discovered that when an object is subjected to a force proportional to its displacement from an equilibrium position, simple harmonic motion results. where frequency f the inverse of period T, f = 1 T. Therefore: 2 T = where I = (1/3)mr, so 2 T = . . How will you decrease the uncertainty in the period measurement? This restoring force is what causes the mass the oscillate. % Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. Simple Harmonic Motion Lab Report. What are the sources of errors in a simple pendulum experiment - Quora Whatever you put into the conclusion must be something, which the data you measured will prove or support. force always acts to restore, or return, the body to the equilibrium