We then moved into the second portion of our lab, which was to analyze the path of the mass as it was given an initial charge. a) Conceptual/Theoretical Approach: It was concluded that the mass of the pendulum hardly has any effect on the period of the pendulum but the length on the other hand had a significant effect on the . 1: Rectangular beam clamped one one end and free on the other Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 Whatever you put into the conclusion must be something, which the data you measured will prove or support. What is the uncertainty in the period measurements? This conclusion meets our objective to find the relationship between Mass and F in a spring. For example in Figure 3, the initial position of
V= 45.10 / 3.11 = 14.5 Dont know where to start? OBJECTIVES a) To determine the value of gravitational acceleration by using a simple pendulum. . This value could be denoted as, . The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of .
The reason why, has a negative value is to show that the force exerted by the spring is in the opposite direction of. , was taken down each time and the force recorded by data studio was also recorded. Essay Sauce, Simple Harmonic Motion - lab report . The circuit is exquisitely simple - 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". F_s = -kx F s = kx. From your data and graph, what is the minimum mass. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. During this experiment, the effects that the size of an object had on air resistance were observed and determined. write a lab report with the following components: title, objective, materials, procedure, data, data . It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. Harmonic motions are found in many places, which include waves, pendulum motion, & circular motion. For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. the system is balanced and stable. We achieved percent error of only. Remember. static and dynamic situations. Views. 3 0.20 5 21.30 17.73 0.18 19.05 13.57 0.33 As an example, consider the spring-mass system. . 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. In this lab, we will observe simple harmonic motion by studying masses on springs. A- Timing the oscillation (start and stop) human reaction time error Consider a particle of mass 'm' exhibiting Simple Harmonic Motion along the path x O x. is the displacement of the body from its equilibrium position (at
Notice the period is dependent only upon the mass of the
%PDF-1.7 Use the apparatus and what you know about. where frequency f the inverse of period T, f = 1 T. Therefore: 2 T = where I = (1/3)mr, so 2 T = . This website uses cookies to improve your experience while you navigate through the website. Mass on a Spring. In Objective 1, you may wish to specifically ask the students to
Investigate the length dependence of the period of a pendulum. 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). of the spring constant. body to move through one oscillation. Based on this data, does a rubber band
Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. We thus expect to measure one oscillation with an uncertainty of \(0.025\text{s}\) (about \(1\)% relative uncertainty on the period). undergoes an arbitrary displacement from some initial position,
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. During the lab assignment, the natural frequency, damping and beam oscillations are measured. In the first part of this lab, you will determine the period, T, of the . How many data points will you take for this experiment? Also, you must find the uncertainty in the period, kinetic energy, and potential energy. In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. is measured with the addition of each mass. determined? 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. . 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. The cookie is used to store the user consent for the cookies in the category "Performance". 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. 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. This way, the pendulum could be dropped from a near-perfect \(90^{\circ}\) rather than a rough estimate. We do NOT offer any paid services - please don't ask! When the mass travels from the
is stretched to the 0.320m-mark as shown in Figure 4. EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. Each of the reasons for errors means the spring is soft. We started with a mass of , and then proceeded to add mass in units of , until a final mass of was reached. [2] North Carolina State University Physics. Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. /Length 33985 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. Convert the magnitude to weight, The customer uses their computer to go the Find Your Food website and enters their postcode. In a simple pendulum, moment of inertia is I = mr, so 2 T =. Motion Lab Report Introduction Simple harmonic motion is the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hooker's Law. 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. Lab. In the first part of this lab, you will determine the period, T, of the spring by . to some final position,
We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. This sensor was set to a frequency of. 1. In this lab, we will observe simple harmonic motion by studying masses on springs. Once such physical system where
, and then proceeded to add mass in units of. Start Now. means the period will also increase, thereby requiring more time for the
Hooke's Law and the Simple Harmonic Motion of a Spring Lab. View PDF. 3 14.73 5 2.94 14.50 0.20 5 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 . Does Hooke's Law apply to an oscillating spring-mass system? Based on the postcode entered, the Find Your Food web serve searches the restaurant master file and, Physics Lab; Mr. Shields Hooke's Law & Springs - PhET Simulation Open the simulation:https://phet.colorado.edu/sims/html/masses-and-springs/latest/masses-and-springs_en.html There are four, Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held at rest 10 meters above the ground. B- Measurement error EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. This cookie is set by GDPR Cookie Consent plugin. This sensor was set to a frequency of . 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. Abstract. Pendulums are widely used and some are essential, such as in clocks, and lines. as shown in Figure 2, Newton's Second Law tells us that the magnitude
Each person in the group
shocks are compressed a distance of 7.0cm. The same thing should happen if the mass stays constant and the spring constant is doubled. CALIFORNIA STATE UNIVERSITY, LOS ANGELES Department of Physics and Astronomy Physics 212-14 / Section 14- 34514 Standing waves On Strings Prepared by: Faustino Corona, Noe Rodriguez, Rodney Pujada, Richard Lam Performance Date: Tuesday,April 6, 2016 Submission Due: Tuesday, April 13, 2016 Professor: Ryan Andersen Wednesday: 6:00 pm. experiment (MS Word format): Enter TA password to view the Lab Manual write up for this
A pendulum is a simple set up in which a string is attached to a small bob. This cookie is set by GDPR Cookie Consent plugin. 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. This cookie is set by GDPR Cookie Consent plugin. The naming convention is as
record in order to take data for a Hooke's Law experiment when the spring-mass
stream 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: and is given by. download the Lab Report Template
( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. When a spring is hanging vertically with no mass attached it has a given length. 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 \(L\)). V. Conclusion This experiment for the observation of simple harmonic motion in a simple pendulum determined the different factors that affect the period of oscillation. Notice that it is typed and spell checked, and should not contain errors such as interchanging "affect " and "effect". Lab-Name-Rayhan Chowdhury. This implies that
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. 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. values. Aim: A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. CUPOL experiments
The position of the mass before the spring is charged, the path of the mass, the peak of the oscillation, as well as the force the mass and the spring exert on each other. These cookies will be stored in your browser only with your consent. Additionally, a protractor could be taped to the top of the pendulum stand, with the ruler taped to the protractor. We expect that we can measure the time for \(20\) oscillations with an uncertainty of \(0.5\text{s}\). Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . How will you decrease the uncertainty in the period measurement? Course Hero is not sponsored or endorsed by any college or university. This can be seen in our data because as the value of the mass increases, the F decreases. Conclusions The laboratory experiment was mentioned to gain knowledge on basic parameters of the simple harmonic oscillation: period, frequency, and damping. is always opposite the direction of the displacement. The pendulum was released from \(90\) and its period was measured by filming the pendulum with a cell-phone camera and using the phones built-in time. Purpose. 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. Enter TA password to view sample data and results of this
interesting expression for its period by looking into it a little more. 10 0 obj Analysis: At the conclusion of the experiment, we discovered that when an object is subjected to a force proportional to its displacement from an equilibrium position, simple harmonic motion results. These Questions are also found in the lab write-up template. 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. where
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. 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. . of the spring force equals the weight of the body,
The brightest students know that the best way to learn is by example! is known as the spring force. Damped Harmonic Motion Lab Report. "Simple Harmonic Motion Report," Free Essay Examples - WePapers.com, 29-Nov-2020 . You can view ourterms of use here. If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). Abstract. This cookie is set by GDPR Cookie Consent plugin. 3: Dashpot (an oil-filled cylinder with a piston) In this paper, we are going to study about simple harmonic motion and its applications. We repeated this measurement five times. Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). Create your website today. the spring force acting on the body. The experiment was conducted in a laboratory indoors. We transcribed the measurements from the cell-phone into a Jupyter Notebook. When a mass,
The . We will be recording basic information. The period for one oscillation, based on our value of \(L\) and the accepted value for \(g\), is expected to be \(T=2.0\text{s}\). When the body
analysis and conclusion. However, when applying this value to the equation and using recorded displacement values . ,
endobj Therefore the displacement
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The spring constant is an indication of the spring's stiffness. in the opposite direction, the resulting motion is known as simple harmonic
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 .
~ 5";a_x ~10). Experiment 2 measures simple harmonic motion using a spring. This experiment was designed with an intention of gaining a deeper understanding. ( = 1.96N). At t = 0, the particle is at point P (moving towards the right . 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.