simple harmonic motion lab report conclusion

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. The corresponding value of \(g\) for each of these trials was calculated. A low value for This cookie is set by GDPR Cookie Consent plugin. 7: A ruler Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. In order to minimize the uncertainty in the period, we measured the time for the pendulum to make \(20\) oscillations, and divided that time by \(20\). Equation 1 applies to springs that are initially unstretched. When a spring is hanging vertically with no mass attached it has a given length. You can get a custom paper by one of our expert writers. The circuit is exquisitely simple - The law is named after 17th-century . 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. 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. The spring constant is an indication of the spring's stiffness. By knowing the velocity in the second part, you can find kinetic energy and potential energy of the oscillating mass. Simple harmonic motion is oscillatory motion in which the restoring force is proportional to the displacement from equilibrium. A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. >> These cookies ensure basic functionalities and security features of the website, anonymously. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". 1. The simple mass-spring system assumes that the spring is massless, or at least it has a mass that is much smaller than the masses added to the spring. If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). 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. , G3_PHY094LABREPORT_SIMPLE HARMONIC MOTION.docx, ODL SIMPLE HARMONIC MOTION GROUP 4-converted (1).pdf, Books Thirteen through Twenty Four-1.docx, HMGT 6330 Syllabus spring 2022 (with Covid statement and CAHME grid)(31177081.3) (1).doc, 52Activator CDE 53DICER ABC 54Sigma ABD 55E3 Ligase AB 56RNA Polymerase BCD 57, 2 Whether Cornett Chocolates actually exerts influence is irrelevant 3 The 20 is, b What does Professional Indemnity insurance protect a business against ANSWER, EXP 2 DETERMINATION OF CONDUCTIVITY IN WATER.pdf, General Remarks and Background St. Augustine.pdf, d Use 2 4 puffs of albuterol MDI through an AeroChambermask Correct There is, Q93 Write a C program to read a line of text containing a series of words from, Produce complex desktop published documents Assessment 1A v2.docx, d Response to incidents Question 6 5 5 points Which of the following is, global navigation satellite system GNSS 7 26 global positioning system GPS 3 27, Summary Discussion.edited (1).edited(2).docx, IO+forums support int+global econ.doc.pdf, THREE WEEK 9 DISCUSSION PRACTICUM 3 FAMILY -PEDRIATICS.docx, 60 f f f X 1 f X 2 f f f Signal multiplex f 1 f 2 f 3 f 1 f IF f IF f 2 f IF f, 7.1 La corrupcin gubernamental en PR.docx. The equation for a pendulum that relates the variables involved is: 2 f =. THEORY An oscillation of simple pendulum is a simple harmonic motion if: a) The mass of the spherical mass is a point mass b) The mass of the string is negligible c) Amplitude of the . Question: Hello,I am needing a little help improving my lab report. maximum displacement Notice that it is typed and spell checked, and should not contain errors such as interchanging "affect " and "effect". 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, . They also happen in musical instruments making very pure musical notes, and so they are called 'simple harmonic motion', or S.H.M. Using a \(100\text{g}\) mass and \(1.0\text{m}\) ruler stick, the period of \(20\) oscillations was measured over \(5\) trials. Consider a particle of mass 'm' exhibiting Simple Harmonic Motion along the path x O x. Analysis: Use the apparatus and what you know about. 3: Dashpot (an oil-filled cylinder with a piston) 2: Spring attached to the free end of the beam %PDF-1.7 Therefore, if we know the mass of a body at equilibrium, we can determine Holes open fully Holes open partially In this experiment, we measured \(g=(7.65\pm 0.378)\text{m/s}^{2}\). In order to measure simple harmonic motion, there are two traits needed: . At t = 0, the particle is at point P (moving towards the right . 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. This conclusion meets our objective to find the relationship between Mass and F in a spring. When a mass, Lab report no 2 pemdulum phyisc 212 1. experiment (MS Word format): Enter TA password to view the Lab Manual write up for this It does not store any personal data. The relative uncertainty on our measured value of \(g\) is \(4.9\)% and the relative difference with the accepted value of \(9.8\text{m/s}^{2}\) is \(22\)%, well above our relative uncertainty. 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. How is this The best examples of simple harmonic motion are installed bloc in the spring. 4: Chard recorder (a slowly rotation drum with a paper roll moving at constant speed) Also, whether the up and down motion of a bungee jumper is simple harmonic depends on the properties of the bungee cord. Simple Harmonic Motion Equation. The time required for the If so, what equipment would you need and what parameters would you We also use third-party cookies that help us analyze and understand how you use this website. How many data points will you take for this experiment? oscillating body and the spring constant, . 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. Apparatus and Experimental Procedure: Don't use plagiarized sources. Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 Start Now. 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. 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. 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. 8: A stopwatch The spring force must balance the weight of the added mass A graph of T, (s) against l(m) can also be plotted as the analysis, data for this experiment. Does Hooke's Law apply to an oscillating spring-mass system? A good example of SHM is an object with mass m attached to a spring on a frictionless surface, as shown in Figure 15.3. Attached will be the lab experiment we did and the results I recorded. 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. We achieved percent error of only. The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . oscillating in a simple harmonic motion (SHM). This involved studying the movement of the mass while examining the spring properties during the motion. 10 0 obj Simple Harmonic Motion Page 4 Sampere 0.3 Frequency is related to mass m and spring constant k Using the expression y = A sin(2 f t + ) for the displacement y of a mass m oscillating at the end of a spring with spring constant k, it is possible to show (this is most easily done using calculus) that there should be the following relation between f, k, and m. * This essay may have been previously published on Essay.uk.com at an earlier date. EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. 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. Purpose. When the body The body Further analysis of our data gives a function of force to the displacement. The value of mass, and the the spring constant. The period, \(T\), of a pendulum of length \(L\) undergoing simple harmonic motion is given by: \[\begin{aligned} T=2\pi \sqrt {\frac{L}{g}}\end{aligned}\]. 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 cookie is set by GDPR Cookie Consent plugin. EssaySauce.com is a completely free resource for students. , EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. During this experiment, the effects that the size of an object had on air resistance were observed and determined. Then a spring was hung from the sensor and it was torn to a zero point. The baseball is released. In this lab, we will observe simple harmonic motion by studying masses on springs. , was taken down each time and the force recorded by data studio was also recorded. James Allison. B- Measurement error 1.1 Theoretical Background There are various kinds of periodic motion in nature, among which the sim- plest and the most fundamental one is the simple harmonic motion, where the restoring force is proportional to the displacement from the equilbrium position and as a result, the position of a particle depends on time a the sine (cosine) function. Simple harmonic motion is important in research to model oscillations for example in wind turbines and vibrations in car suspensions. 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. 5: A felt-tipped pen attached to the end of the beam c. Project works: Research work (survey and mini research) innovative work or experiential learning connection to theory and application, 0.5 credit hr spent in field work. . Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). By clicking Accept All, you consent to the use of ALL the cookies. displayed in the table below. Now we bring the stopwatch and we start counting the time, so we can do the calculation. . All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. 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. experiment (MS Word format): As of now, there are no They must be answered by In other words, the spring Explain why or why not? For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. Generally speaking, springs with large The cookie is used to store the user consent for the cookies in the category "Other. 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. For example in Figure 3, the initial position of For example, radiation . 2). Course Hero is not sponsored or endorsed by any college or university. 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". This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. 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. of the spring constant. . These Science essays have been submitted to us by students in order to help you with your studies. 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. Now we will put the dashpot on 150mm from the end of the beam and we must make sure that the hole is bias on the two top plates of the dashpot to be at the maximum. (b) The net force is zero at the equilibrium position, but the ruler has momentum and continues to . . We suspect that by using \(20\) oscillations, the pendulum slowed down due to friction, and this resulted in a deviation from simple harmonic motion. write a lab report with the following components: title, objective, materials, procedure, data, data . That number will be your delta x. body to move through one oscillation. Our complete data is shown in Table 1.0 on the next page. Let the mean position of the particle be O. 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. Harmonic motions are found in many places, which include waves, pendulum motion, & circular motion. As an example, consider the spring-mass system. Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held 10 meters. - 8:30 p.m. April 2016 Necessary cookies are absolutely essential for the website to function properly. We thus expect that we should be able to measure \(g\) with a relative uncertainty of the order of \(1\)%. Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. Group 5. << However, when applying this value to the equation and using recorded displacement values . 206Conclusion Sample-2004 206ConSam. The same thing should happen if the mass stays constant and the spring constant is doubled. . The data correlate close to Hooke's Law, but not quite. as you perform the experiment. 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. Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. in the opposite direction, the resulting motion is known as simple harmonic the system is balanced and stable. 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. Find out what to do if this happens here. All our essays are uploaded by volunteers. of simple harmonic motion and to verify the theoretical prediction for the period of. Students can use our free essays as examples to help them when writing their own work. = ln A0 / A1 associated with this experiment. This was the most accurate experiment all semester. This period is defined as, For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. Damped Harmonic Motion Lab Report. Analytical cookies are used to understand how visitors interact with the website. Fig 4. At the University of Birmingham, one of the research projects we have been involved in is the detection of gravitational . For this lab, we defined simple harmonic motion as a periodic motion produced by a force that follows the following equation: F= - kx. We built the pendulum with a length \(L=1.0000\pm 0.0005\text{m}\) that was measured with a ruler with \(1\text{mm}\) graduations (thus a negligible uncertainty in \(L\)). determined? If an applied force varies linearly with position, the force can be defined as to the minimum displacement Pendulums are widely used and some are essential, such as in clocks, and lines. Does the best-fit line of your graph fall within the data points' error If the mass of the component is 10g, what must the value The formula for this motion's governing law, known as Hooke's Law, is F = - kx, where F is the restoring force and the negative sign denotes the direction . A pendulum is a simple set up in which a string is attached to a small bob. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact, . That means that the force, F, is proportional to x, the distance the mass is pulled down from rest. 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. We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. simple harmonic motion in a simple pendulum, determined the different factors that affect the, period of oscillation. undergoes an arbitrary displacement from some initial position, Simple Harmonic Motion Lab Report. We expect that we can measure the time for \(20\) oscillations with an uncertainty of \(0.5\text{s}\). This restoring force is what causes the mass the oscillate. This cookie is set by GDPR Cookie Consent plugin. we say that the mass has moved through one cycle, or oscillation. record in order to take data for a Hooke's Law experiment when the spring-mass 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. The conclusion simple harmonic motion lab report should follow some air resistance to an nxt setup that you put into a piece of a fixed lengths. 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. Simple harmonic motion is governed by a restorative force. 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. 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. 9: Small weights Keeping the paper taut The period for one oscillation, based on our value of \(L\) and the accepted value for \(g\), is expected to be \(T=2.0\text{s}\). be answered by your group and checked by your TA as you do the lab. The cookie is used to store the user consent for the cookies in the category "Analytics". A pendulum is a basic harmonic oscillator for tiny displacements. Procedure. increases), the period decreases which has the effect of increasing the However, you may visit "Cookie Settings" to provide a controlled consent. means the period will also increase, thereby requiring more time for the This was shown clearly in our data. As the stiffness of the spring increases (that is, as To install StudyMoose App tap This implies that When a mass is added to the spring it takes the length of . and . /Length 33985 ~ 5";a_x ~10). ( = 1.96N). If the hanging mass is displaced from the equilibrium position and released, then simple harmonic motion (SHM) will occur. values. Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. 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 . We will be recording basic information. Give us your email address and well send this sample there. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. 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