That means that the force, F, is proportional to x, the distance the mass is pulled down from rest. my lab report for this lab - I earned an A in the lab. 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. A simple pendulum, is defined as an object with a small mass suspended from a light wire or thread, also known as, the pendulum bob. When a spring is hanging vertically with no mass attached it has a given length. We expect that we can measure the time for \(20\) oscillations with an uncertainty of \(0.5\text{s}\). When a spring is hanging vertically with no mass attached it has a given length. Investigate the length dependence of the period of a pendulum. ?? Under the influence of gravity on Earth, it, Write name and date. Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. Additionally, a protractor could be taped to the top of the pendulum stand, with the ruler taped to the protractor. Group 5. the spring force acting on the body. is known as the spring force. Then a spring was hung from the sensor and it was torn to a zero point. Does the value of the oscillation amplitude affect your results? V= 45.10 / 3.11 = 14.5 For this lab, we defined simple harmonic motion as a periodic motion produced by a force that follows the following equation: F= - kx. Whilst simple harmonic motion is a simplification, it is still a very good approximation. Use the apparatus and what you know about. Analysis: We will be recording basic information. Simple Harmonic Motion Equation. determined? x}xT{y%3yN2 s2'LB$ 9yL $(E\hjo1hVk[qV#2s>^o~Nck X? When an oscillating mass (as in the case of a mass bouncing on a spring) The string is clamped, and when it is displaced, it . The recorded data is 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. It should be noted that the period of is the displacement of the body from its equilibrium position (at 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. . interesting expression for its period by looking into it a little more. 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. Conclusion: Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. experiment (MS Word format): As of now, there are no Therefore, if we know the mass of a body at equilibrium, we can determine motion is independent of the amplitude of the oscillations. At t = 0, the particle is at point P (moving towards the right . In other words, the spring 3 14.73 5 2.94 14.50 0.20 5 Notice the period is dependent only upon the mass of the 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. Damped Harmonic Motion Lab Report. A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. This value could be denoted as, . The following data for each trial and corresponding value of \(g\) are shown in the table below. 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. How will you decrease the uncertainty in the period measurement? 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. and then back to the position EssaySauce.com is a completely free resource for students. 5: A felt-tipped pen attached to the end of the beam 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 . 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. 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. The . maximum distance, Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. This type of motion is characteristic of many physical phenomena. In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. If the hanging mass is displaced from the equilibrium position and released, then simple harmonic motion (SHM) will occur. and is given by. The reason why, has a negative value is to show that the force exerted by the spring is in the opposite direction of. c"p. 04/20/12. Simple Harmonic Motion. 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. If so, what equipment would you need and what parameters would you Simple harmonic motion is oscillatory motion in which the restoring force is proportional to the displacement from equilibrium. The purpose of this lab experiment is to study the behavior of springs in In the first part of this lab, you will determine the period, T, of the . 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. For a spring-mass system, such as a block attached to a spring, the spring force is responsible for the oscillation (see Figure 1). Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. oscillation of a mass-spring system. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. The cookies is used to store the user consent for the cookies in the category "Necessary". will move back and forth between the positions 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. V= length (m) / time (s) You can get a custom paper by one of our expert writers. The negative sign in Equation 1 indicates that the direction of 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. (2016, May 24). This implies that (b) The net force is zero at the equilibrium position, but the ruler has momentum and continues to . The cookie is used to store the user consent for the cookies in the category "Other. Analytical cookies are used to understand how visitors interact with the website. We also worry that we were not able to accurately measure the angle from which the pendulum was released, as we did not use a protractor. 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) When the body During this experiment, the effects that the size of an object had on air resistance were observed and determined. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact, . In the first part of this lab, you will determine the period, T, of the spring by observing one sliding mass that is attached to two springs with the spring constant k, and attached to a hanging mass by a string and a pulley. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. Notice that it is typed and spell checked, and should not contain errors such as interchanging "affect " and "effect". This type of motion is also called oscillation, motion. 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: oscillating body and the spring constant, 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. 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. , Don't use plagiarized sources. Necessary cookies are absolutely essential for the website to function properly. to some final position, James Allison. Simple harmonic motion is a motion that repeats itself every time, and be constant movement vibration amplitude, fit the wheel with an offset from the body into balance and direction is always subject to the balance . }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! This website uses cookies to improve your experience while you navigate through the website. What oscillation amplitude will you use for this experiment? We suspect that by using \(20\) oscillations, the pendulum slowed down due to friction, and this resulted in a deviation from simple harmonic motion. . 1: Rectangular beam clamped one one end and free on the other /Ordering (Identity) Consider a particle of mass 'm' exhibiting Simple Harmonic Motion along the path x O x. The corresponding value of \(g\) for each of these trials was calculated. If we assume the two rear The spring constant is an indication of the spring's stiffness. The circuit is exquisitely simple - My partners and I do believe though that we should've done more than three trials in order to get more precise and accurate data. , 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. How many data points will you take for this experiment? You can view ourterms of use here. This conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. The results underlines the importance of the precautions which the students are asked to take while performing the pendulum experiment. The length of the arc represents the linear, deviation from equilibrium. Simple Harmonic Motion Lab Report. It is important to make the additional note that initial energy that is initially given to the spring from the change is position, in the form of potential energy, would be perfecting conserved if friction played no role & the spring was considered perfectly elastic. We will study how a mass moves and what properties of spring give the mass a predictable movement. Fig 4. First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. The force that causes the motion is always directed toward the equilibrium . A pendulum is a basic harmonic oscillator for tiny displacements. You also have the option to opt-out of these cookies. Two types of springs (spring I and II) with . We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. This was the most accurate experiment all semester. Lab-Name-Rayhan Chowdhury. What was the goal of the simple pendulum experiment? oscillating in a simple harmonic motion (SHM). associated with this experiment. These cookies track visitors across websites and collect information to provide customized ads. to the minimum displacement What mass values will you use for this experiment? Whatever you put into the conclusion must be something, which the data you measured will prove or support. In this experiment, we measured \(g=(7.65\pm 0.378)\text{m/s}^{2}\). We will determine the spring constant, , for an individual spring using both Hooke's Law and the properties of an oscillating spring system.It is also possible to study the effects, if any, that amplitude has on the period of a body experiencing simple harmonic motion. obey Hooke's Law? and counted the cycles, and the last partner had timed the process. 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. The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody 10). The cookie is used to store the user consent for the cookies in the category "Analytics". . Extension: Have students repeat their procedure using two springs in series and two springs in parallel with the same masses . In order to conduct the experiment properly, must you consider the position These cookies ensure basic functionalities and security features of the website, anonymously. follows: For example the group at lab 12 0 obj The values were subtracted by one another to give a period the results are shown in table 2.1. as "5 Gas Law.doc". Procedure. This cookie is set by GDPR Cookie Consent plugin. Course Hero is not sponsored or endorsed by any college or university. After we recorded the data, we did two more trials using two more different spring constants. They must be answered by 8: A stopwatch Why Lab Procedures and Practice Must Be Communicated in a Lab. this force exists is with a common helical spring acting on a body. Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. study the effects, if any, that amplitude has on the period of a body ( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. The time required for the PHYSICS FOR MATRICULATIONhttps://www.youtube.com/channel/UCxufRv3fcM-zbJEISrm3YEg?sub_confirmation=1#SP015 #PHYSICS # SEM1 #MATRICULATION LEVEL #DRWONGPHYSICS write a lab report with the following components: title, objective, materials, procedure, data, data . Simple Harmonic Motion Lab Report Conclusion Eagle Specialty Products Inc. 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. The value of mass, and the the spring constant. 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 period that you solved for will be your theoretical period. indicates that the spring is stiff. 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. is suspended from a spring and the system is allowed to reach equilibrium, Here the constant of proportionality, . This is consistent with the fact that our measured periods are systematically higher. 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. 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. We achieved percent error of only. properties of an oscillating spring system. maximum displacement Introduction Report, Pages 2 (368 words) Views. Retrieved from http://studymoose.com/simple-harmonic-motion-lab-report-essay. means the period will also increase, thereby requiring more time for the 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. The brightest students know that the best way to learn is by example! . undergoes an arbitrary displacement from some initial position, 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. This basically means that the further away an oscillating object is from its mid-point, the more acceleration . . Hooke's Law and the Simple Harmonic Motion of a Spring Lab. Generally speaking, springs with large This involved studying the movement of the mass while examining the spring properties during the motion. 1 0.20 5 20.54 17.57 0.156 19 13.45 0.34 (download the rest of the essay above). To do this, a spring was set up with a circular object hanging at the end. P14: Simple Harmonic Motion - Mass on a Spring 012-07000A p. The block is released, follows the trajectory shown, and strikes the floor a horizontal distance D from the edge of the table. 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. table #5 working on the Ideal Gas Law experiment would rename their template file In Simple harmonic motion, the mean position is a stable equilibrium. 6: Speed control unit (controls the turning speed of the chart recorder) where This page of the essay has 833 words. In this lab we want to illustrate simple harmonic motion by studying the motion of a mass on a spring. analysis and conclusion. Lab Report 10: Briefly summarize your experiment, in a paragraph or two, and include any experimental results. Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features. What is the uncertainty in the position measurements? 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The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . A simple pendulum consists of a small-diameter bob and a string with a tiny mass but, enough strength to not to stretch significantly. . Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. This was proved experimentally with incredible accuracy. A pendulum is a simple set up in which a string is attached to a small bob. If an applied force varies linearly with position, the force can be defined as attach their own copy to the lab report just prior to handing in the lab to your values. 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.