simple harmonic motion lab report conclusion

They Lab 4 Summary - Covers the "Conservation of Mechanical Energy" lab, Physics (Phys 215): Experiment - Newton'S Laws - 2018 September, Physics Acceleration Due to Gravity Report #1, Introductory Physics I - Lecture notes - 1 - 32, 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, Health-Illness Concepts Across the Lifespan I (NUR 1460C), Introduction to Human Psychology (PSYC 1111), Child and Early Adolescent Development and Psychology (ELM 200), Business Systems Analysis and Design (IT210), Ethical and Legal Considerations of Healthcare (IHP420), Advanced Medical-Surgical Nursing (NUR2212), Maternity and Pediatric Nursing (NUR 204), The United States Supreme Court (POLUA333), Professional Application in Service Learning I (LDR-461), Advanced Anatomy & Physiology for Health Professions (NUR 4904), Principles Of Environmental Science (ENV 100), Operating Systems 2 (proctored course) (CS 3307), Comparative Programming Languages (CS 4402), Business Core Capstone: An Integrated Application (D083), Final Exams - Selection of my best coursework, ECO 201 - Chapter 2 Thinking like economist part 1 - Sep 9. Therefore, if we know the mass of a body at equilibrium, we can determine This cookie is set by GDPR Cookie Consent plugin. In the first part of this lab, you will determine the period, T, of the . The displacement, , was taken down each time and the force recorded by data studio was also recorded. 7: A ruler Then a spring was hung from the sensor and it was torn to a zero point. For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. 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. But opting out of some of these cookies may affect your browsing experience. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". Each person in the group No- 3. As the stiffness of the spring increases (that is, as the spring force acting on the body. 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. 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. 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. This website uses cookies to improve your experience while you navigate through the website. 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. This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. the spring will exert a force on the body given by Hooke's Law, namely. difference was observed in the experiment. Available from: [Accessed 04-03-23]. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact, . This is shown below in Graph 1 below is for all the masses. = ln A0 / A1 A simple pendulum consists of a small-diameter bob and a string with a tiny mass but, enough strength to not to stretch significantly. 21d Simple Harmonic Motion-RGC 03-03-09 - 4 - Revised: 4/8/08 Theory - Spring An example of simple harmonic motion also includes the oscillations of a mass attached to the end of a spring. The purpose of this lab experiment is to study the behavior of springs in 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. This was the most accurate experiment all semester. Notice that it is typed and spell checked, and should not contain errors such as interchanging "affect " and "effect". The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. 04/20/12. The cookie is used to store the user consent for the cookies in the category "Analytics". oscillating body and the spring constant, the body is 0.300m. 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. V= length (m) / time (s) b) To investigate the relationship between lengths of the pendulum to the period of motion in simple harmonic motion. Simple harmonic motion is governed by a restorative force. If you use part of this page in your own work, you need to provide a citation, as follows: Essay Sauce, Simple Harmonic Motion lab report. You also have the option to opt-out of these cookies. Students looking for free, top-notch essay and term paper samples on various topics. is always opposite the direction of the displacement. each individual of the group. We do NOT offer any paid services - please don't ask! How will you decrease the uncertainty in the period measurement? In this lab, we will observe simple harmonic motion by studying masses on springs. . Well occasionally send you promo and account related email. % In Simple harmonic motion, the mean position is a stable equilibrium. Experiment 2 measures simple harmonic motion using a spring. The values of k that you solve for will be plugged into the formula: T = 2 (pi) (radical m/k). Figure 1: This image shows a spring-mass system oscillating through one cycle about a central equilibrium position. In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. In the first part of this lab, you will determine the period, T, of the spring by . section 20362. 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. When the body 2: Spring attached to the free end of the beam Download the full version above. If so, what equipment would you need and what parameters would you Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. experiment (MS Word format): As of now, there are no Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. We expect that we can measure the time for \(20\) oscillations with an uncertainty of \(0.5\text{s}\). should print-out the Questions section and answer them individually. is suspended from a spring and the system is allowed to reach equilibrium, Simple Harmonic Motion Lab Report Conclusion Eagle Specialty Products Inc. The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations. means the spring is soft. Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 Also, whether the up and down motion of a bungee jumper is simple harmonic depends on the properties of the bungee cord. download the Lab Report Template Enter TA password to view sample data and results of this of the spring force equals the weight of the body, the system is balanced and stable. Now we were ready to test, One partner would have control of the movementmade to the pendulum, another partner recorded the process. 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, . or the change in the position; or both? 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. This was proved experimentally with incredible accuracy. This sensor was set to a frequency of. in the opposite direction, the resulting motion is known as simple harmonic Figure 5.38 (a) The plastic ruler has been released, and the restoring force is returning the ruler to its equilibrium position. 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. . This was proved experimentally with incredible accuracy. I). Simple Harmonic Motion Lab Report. 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. obey Hooke's Law? the we attacheda 0.5kg mass to the spring. 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. Analytical cookies are used to understand how visitors interact with the website. This problem should be solved using the principles of Energy Conservation. ~ 5";a_x ~10). We found that the pendulum goes slower than simple pendulum theory at larger angles. Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . endobj Give us your email address and well send this sample there. Conclusion: Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. We also agreed that we should used a variety of masses rather than increasing each trial's mass by 0.1 g. Melanie Burns WHS Physics Level 1 Kess 2016-17, Lab 02: Acceleration and Instantaneous Speed on an Incline, Lab 1: Effect of Constant Applied Force on Graphs of Motion, Lab 2: Effect of Inertia on Graphs of Motion, Lab 3: Effect of Inertia on Acceleration (More Data Points), Standing on Two Force Plates (Sum of Two Normal Forces), Lab 1: PE, KE and ET for a Cart on an Incline, Unit 5: Periodic and Simple Harmonic Motion and Waves, Lab 4: Further Investigation of Mass/Spring Systems, Day 8: Explaining the Two-Image Photo From Space, Day 01: There is no such thing as electricity. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. or the slotted ones? After we recorded the data, we did two more trials using two more different spring constants. 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. Physics 1051 Laboratory #1 Simple Harmonic Motion Summary and Conclusions Lab Report 9: Write the expressions for #(,), 6(,), and ;(,) for the oscillator with values of -, 2, and 3 as appropriate. Views. 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. This value could be denoted as, . 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. 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. an academic expert within 3 minutes. Course Hero is not sponsored or endorsed by any college or university. stretched or compressed a small distance from its equilibrium position, 8: A stopwatch We first need to understand how to calculate the force of a spring before performing this lab. The recorded data is website builder. The spring constant refers to how "stiff" a spring is. We transcribed the measurements from the cell-phone into a Jupyter Notebook. Lab. 3 0.20 5 21.30 17.73 0.18 19.05 13.57 0.33 The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. In other words, the spring What quantities will you plot in order to determine. Mass on a Spring. When block away when the subject of stability or the balance spring will exert force to return it back to the original position. If we assume the two rear From your data and graph in Objective 1, what is the. Which would be turned back into kinetic energy as the mass moved to the opposite extreme. The exercises carried out involved recording the position of . Simple Harmonic Motion. /Ordering (Identity) Aim: analysis and conclusion. 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. As an example, consider the spring-mass system. . What is the uncertainty in the period measurements? This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. The experiment was conducted in a laboratory indoors. (2016, May 24). Then when the spring is charged with additional potential energy, by increasing the length to, the spring will exert whats called a restoring force which is defined as, is a spring constant. 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. Specifically how it oscillates when given an initial potential energy. Generally speaking, springs with large a) Conceptual/Theoretical Approach: Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). The equation for a pendulum that relates the variables involved is: 2 f =. These experiments are suitable for students at an advanced level . 10 0 obj A- Timing the oscillation (start and stop) human reaction time error These cookies ensure basic functionalities and security features of the website, anonymously. We repeated this measurement five times. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. TA. The site offers no paid services and is funded entirely by advertising. }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! . For example, radiation . experiencing simple harmonic motion. Simple Harmonic Motion. Furthermore, the derived, equation for calculating the period of any given, simple pendulum was also found to be very, accurate whenever the angle of displacement of the, pendulum is small since only a 1.943% percent. This is probably more than anyone in class will submit (even the "A" reports) but it illustrates as an ideal for which one can strive. 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. shocks are compressed a distance of 7.0cm. This value could be denoted as . The corresponding value of \(g\) for each of these trials was calculated. and then Add to Home Screen. The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . We will study how a mass moves and what properties of spring give the mass a predictable movement. The uncertainty is given by half of the smallest division of the ruler that we used. 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 was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 In this paper, we are going to study about simple harmonic motion and its applications. For a spring-mass system, such as a block attached to a spring, the spring force is responsible for the oscillation (see Figure 1). It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. 692. . , It was concluded that the mass of the pendulum hardly has any effect on the period of the pendulum but the . The baseball is released. = 0 ). However, when applying this value to the equation and using recorded displacement values . 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 .

Southern Baptist Baptism Script, How To Enable Presentation Mode In Notability, Articles S