the spring will exert a force on the body given by Hooke's Law, namely. By clicking Check Writers Offers, you agree to our terms of service and privacy policy. 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. The values of k that you solve for will be plugged into the formula: T = 2 (pi) (radical m/k). 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. Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. 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. experiences a force that is linearly proportional to its displacement but We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. 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. In this paper, we are going to study about simple harmonic motion and its applications. Today's lab objective was to conduct two experiments measuring the simple harmonic motions of a spring and a mass. when the mass increases the frequency decreases. ?? is called the force constant. View PDF. Our complete data is shown in Table 1.0 on the next page. shocks are compressed a distance of 7.0cm. Give us your email address and well send this sample there. should print-out the Questions section and answer them individually. values can balance larger forces than springs with low Consider a particle of mass 'm' exhibiting Simple Harmonic Motion along the path x O x. Conclusions The laboratory experiment was mentioned to gain knowledge on basic parameters of the simple harmonic oscillation: period, frequency, and damping. is 0.020m. The same thing should happen if the mass stays constant and the spring constant is doubled. This page of the essay has 833 words. where as shown in Figure 2, Newton's Second Law tells us that the magnitude Pendulums are widely used and some are essential, such as in clocks, and lines. = 0 ). This sensor was set to a frequency of . each individual of the group. Conclusion: Procedure. State the given vector. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. 9: Small weights Keeping the paper taut to the minimum displacement c"p. stretched or compressed a small distance from its equilibrium position, this equation can be written as. associated with this experiment. stream 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. Mass on a Spring. 8: A stopwatch Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. 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. Fig 4. (2016, May 24). This sensor was calibrated at 2 point, a zero mass and with a known mass. Do that method five times and then solve for the spring constant through the formula: (Delta m) g = k (Delta x). We repeated this measurement five times. That is, if the mass is doubled, T squared should double. The naming convention is as Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. A large value for Damped Harmonic Motion Lab Report. 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. Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. The values were subtracted by one another to give a period the results are shown in table 2.1. Conclusion: Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. Notice the period is dependent only upon the mass of the . is the known as the spring constant, and 3 14.73 5 2.94 14.50 0.20 5 We transcribed the measurements from the cell-phone into a Jupyter Notebook. experiencing simple harmonic motion. Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. . 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. Why Lab Procedures and Practice Must Be Communicated in a Lab. , or the change in the position; or both? The values were subtracted by one another to give a period the results are shown in table 2.1. Remember. Conversely, an increase in the body's mass difference was observed in the experiment. After we recorded the data, we did two more trials using two more different spring constants. body's average velocity. * This essay may have been previously published on Essay.uk.com at an earlier date. In the first part of this lab, you will determine the period, T, of the . Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 The value of mass, and the the spring constant. 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 was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. The cookie is used to store the user consent for the cookies in the category "Other. where frequency f the inverse of period T, f = 1 T. Therefore: 2 T = where I = (1/3)mr, so 2 T = . 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. But opting out of some of these cookies may affect your browsing experience. 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. In this lab, we will observe simple harmonic motion by studying masses on springs. 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. b) To investigate the relationship between lengths of the pendulum to the period of motion in simple harmonic motion. In this lab, we will observe simple harmonic motion by studying masses on springs. The recorded data is The oscillating motion is interesting and important to study because it closely tracks many other types of motion. When a mass is added to the spring it takes the length of, . Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. No- 3. As the stiffness of the spring increases (that is, as 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. After this data was collected we studied to determine the length of the period of each oscillation. This way, the pendulum could be dropped from a near-perfect \(90^{\circ}\) rather than a rough estimate. EssaySauce.com is a completely free resource for students. 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. This was proved experimentally with incredible accuracy. is the body's displacement. 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. shocks are made from springs, each with a spring constant value of. What mass values will you use for this experiment? 692. EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. 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. Figure 1: This image shows a spring-mass system oscillating through one cycle about a central equilibrium position. Conclusion Simple Harmonic Motion Lab Report. We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). To install StudyMoose App tap In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. I). PHYSICS FOR MATRICULATIONhttps://www.youtube.com/channel/UCxufRv3fcM-zbJEISrm3YEg?sub_confirmation=1#SP015 #PHYSICS # SEM1 #MATRICULATION LEVEL #DRWONGPHYSICS The spring constant is an indication of the spring's stiffness. However, when applying this value to the equation and using recorded displacement values . Calculation and Result: This basically means that the further away an oscillating object is from its mid-point, the more acceleration .