: an American History (Eric Foner). Conversely, an increase in the body's mass In order to conduct the experiment properly, must you consider the position 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. The period for one oscillation, based on our value of \(L\) and the accepted value for \(g\), is expected to be \(T=2.0\text{s}\). The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations. Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. What is the uncertainty in the position measurements? The cookie is used to store the user consent for the cookies in the category "Other. This period is defined as where, . Simple harmonic motion lab report conclusion. Simple Harmonic Motion Students looking for free, top-notch essay and term paper samples on various topics. the system is balanced and stable. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. This involved studying the movement of the mass while examining the spring properties during the motion. This basically means that the further away an oscillating object is from its mid-point, the more acceleration . Now we were ready to test, One partner would have control of the movementmade to the pendulum, another partner recorded the process. ( = 1.96N). The experiment was conducted in a laboratory indoors. How will you decrease the uncertainty in the period measurement? is the known as the spring constant, and Notice the period is dependent only upon the mass of the How many data points will you take for this experiment? - 8:30 p.m. April 2016 Our complete data is shown in Table 1.0 on the next page. Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. 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: 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. 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. Start with L 0.90 m and decrease it gradually using a step of 0.10 m. Experts are tested by Chegg as specialists in their subject area. 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. is measured with the addition of each mass. 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) This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. Generally speaking, springs with large experiencing simple harmonic motion. 10 0 obj A low value for If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). We thus expect to measure one oscillation with an uncertainty of \(0.025\text{s}\) (about \(1\)% relative uncertainty on the period). When a mass, The values were subtracted by one another to give a period the results are shown in table 2.1. (2016, May 24). Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. /Ordering (Identity) For a spring-mass system, such as a block attached to a spring, the spring force is responsible for the oscillation (see Figure 1). At t = 0, the particle is at point P (moving towards the right . In the first part of this lab, you will determine the period, T, of the . 4: Chard recorder (a slowly rotation drum with a paper roll moving at constant speed) , As an example, consider the spring-mass system. This sensor was calibrated at 2 point, a zero mass and with a known mass. 7: A ruler In part two of this lab, you will attach a spring on either side of a sliding mass on a frictionless air track and have a photo gate measure the period as the mass oscillates. , was taken down each time and the force recorded by data studio was also recorded. We expect that we can measure the time for \(20\) oscillations with an uncertainty of \(0.5\text{s}\). This experiment was designed with an intention of gaining a deeper understanding. Simple harmonic motion lab report conclusion. V Conclusion This 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. , We achieved percent error of only. 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. We will determine the spring constant, For small angle, we can write the equation of motion of the bob as L x a g sin g (1) In a simple harmonic motion, acceleration is . and then released, it will oscillate about the equilibrium position. velocity and acceleration all vary sinusoidally. This was proved experimentally with incredible accuracy. Do that method five times and then solve for the spring constant through the formula: (Delta m) g = k (Delta x). The site offers no paid services and is funded entirely by advertising. When a mass is added to the spring it takes the length of . This type of motion is also called oscillation, motion. 1. 5: A felt-tipped pen attached to the end of the beam 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. The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . Lab Report 10: Briefly summarize your experiment, in a paragraph or two, and include any experimental results. Notice that it is typed and spell checked, and should not contain errors such as interchanging "affect " and "effect". Abstract. The period that you solved for will be your theoretical period. Simple harmonic motion. This is not a team activity. Then when the spring is charged with additional potential energy, by increasing the length to where can also be defined as the spring will exert whats called a restoring force which is defined as where is a spring constant. when the mass increases the frequency decreases. and counted the cycles, and the last partner had timed the process. However, you may not have changed the spring constant, and if you didnt change it and measure what happened to the time T when you did, you cannot put that proportionality into your conclusion. 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. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. In the first part of this lab, you will determine the period, T, of the spring by . difference was observed in the experiment. If the spring is We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. = ln A0 / A1 If we assume the two rear write a lab report with the following components: title, objective, materials, procedure, data, data . Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. this force exists is with a common helical spring acting on a body. V= length (m) / time (s) Well occasionally send you promo and account related email. experiment (MS Word format): Enter TA password to view the Lab Manual write up for this Available at Ward's Science: https://www.wardsci.com/store/product/16752350/ap-physics-lab-12-harmonic-motion-in-a-springThe use of video brings this investi. PDF Introduction to Simple Harmonic Motion - Memorial University Of Simple Harmonic Motion Lab Report Free Essay Example - PaperAp.com I need help with understanding the purpose of this lab. of the spring constant. , is 0.020m. The variation of the time period with increasing oscillation was studied for the simple harmonic motion (SHM) and for large angle initial displacements (non-SHM). 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. This cookie is set by GDPR Cookie Consent plugin. Physics - simple harmonic motion - University of Birmingham 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. This conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. >> /Filter /FlateDecode 15.1 Simple Harmonic Motion - University Physics Volume 1 - OpenStax experiment (MS Word format): As of now, there are no SOLUTION: Simple Harmonic Motion Lab Report - Studypool , What is the uncertainty in the mass measurements? Whilst simple harmonic motion is a simplification, it is still a very good approximation. Experiment 2 measures simple harmonic motion using a spring. For example, radiation . 1: Rectangular beam clamped one one end and free on the other Therefore the displacement Course Hero is not sponsored or endorsed by any college or university. each individual of the group. , Question: Hello,I am needing a little help improving my lab report. Performance cookies are used to understand and analyze the key performance indexes of the website which helps in delivering a better user experience for the visitors. Day 3: What is a Battery / How Bright Are You. This is consistent with the fact that our measured periods are systematically higher. is stretched to the 0.320m-mark as shown in Figure 4. 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. . Report, Pages 2 (368 words) Views. shocks are compressed a distance of 7.0cm. Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. to the minimum displacement Start Now. Hooke's Law and Simple Harmonic Motion Adam Cap
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