Simple harmonic motion lab report pdf

When an object is in simple harmonic motion, the rate at which it oscillates back. Assemble the pendulum by attaching the top end of the string to the pendulum clamp and. A formal lab report should include a title page like this one, with all of the appropriate. Simple harmonic motion simple harmonic motion factors that influence the change in the period of a shm victor jeung, terry tong, cathy liu, jason feng november 25th, 2011.

Physics lab report 2 hookes law and simple harmonic. In this lab, we will observe simple harmonic motion by studying masses on springs. The model was supported by the data using a linear t with chisquared. Simple harmonic motion is a special type of periodic motion, such that an object will always. 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. Theory periodic motion is motion of an object that regularly returns to a given position after a. Physics lab report modeling your motion free pdf file. Note that for simple harmonic motion, the period does not depend upon the amplitude of the oscillation. Briefly summarize your experiment, in a paragraph or two, and include any experimental results. Simple harmonic motion or shm is the simplest form of oscillatory motion. F kx, 1 where x is the displacement of the spring from equilibrium, f is.

Describe quantitatively and qualitatively the motion of a real harmonic oscillator 2. The experiment was carried out to show that the mass of the bob has no effect on the period of the oscillation. The simple pendulum revised 10252000 2 f k x g g 1 then the motion of the pendulum will be simple harmonic motion and its period can be calculated using the equation for the period of simple harmonic motion m t 2. Normal harmonic motion and measurement of spring constants 2. A spring that is hanging vertically from a support with no mass at the end of the spring has a length l called.

Under what conditions do rubber bands obey hookes law. Introduction when you suspend an object from a spring, the spring will stretch. Todays lab will focus on the second example which is governed by hookes law, f kx. Hookes law and the simple harmonic motion of a spring lab. The simple pendulum the university of tennessee at. In this lab, you will analyze a simple pendulum and a springmass system, both of. Find a mathematical function that fits the motion of an oscillator. Note that for simple harmonic motion, the period does. Using the value of the slope from the linear fit, solve for the spring constant k. The model was constructed with the square of the period of oscillations in the small angle approximation being proportional to the length of the pendulum. In simple harmonic motion the period and frequency are independent of the amplitudes of the oscillations. Item value equilibrium position spring constant slope data table2. Using hookes law you will determine the spring constant of the.

Export data to excel to regraph for your lab report. In addition to the introductory physics textbooks available in the lab there are a. The motion of the pendulum is a particular kind of repetitive or periodic motion called simple harmonic motion, or shm. Conclusion this lab explored hookes law and simple. In this video we consider simple harmonic motion a special type of oscillation which is part of the a level syllabus and important to the work of researchers at. Thus, the restoring force f, is proportional to the displacement x, and the negative sign represents the fact that the restoring force is opposite of the displacement. For simple harmonic motion, the period t is independent of the amplitude but. Apparatus a pc, epro lab interface, eprolab software, excel software, retort stand, helical spring, ultrasonic motion detector, force sensor b pc, epro lab interface, eprolab software, excel software, helical spring, ultrasonic motion detector, dynamics track with end stop, pivot clamp with base and support rod, pascar trolley.

A pendulum exhibits simple harmonic motion shm, which allowed us to measure the gravitational constant by measuring the period of the pendulum. The simple pendulum department of physics and astronomy. To measure the fundamental properties of oscillatory motion, including the force constant, the period of oscillation, and the maximum velocity of a mass executing simple harmonic motion. We will determine the spring constant, for an individual spring using both hookes law and the properties of an oscillating spring system. Pdf a case study on simple harmonic motion and its. Lab 7 simple harmonic motion introduction have you ever wondered why a grandfather clock keeps accurate time. Because the force is proportional to displacement of the spring from its equilibrium position, a mass attached to the spring will undergo simple harmonic motion. Discussion and conclusions this experiment was performed. If you pull on the object and release it, it will begin to oscillate up and down. Experimental study of simple harmonic motion of a spring. The experimental study of simple harmonic motion of a springmass system shows that the principal physical variables that characterize the oscillations, such as k. Simple harmonic motion factors that influence the change. With the help of a lab partner, set the pendulum in motion until it completes 30 to and fro oscillations, taking care to record this time.

Using a simple pendulum the acceleration due to gravity in salt lake city, utah, usa was found to be 9. The simple harmonic motion of a springmass system generally exhibits a behavior strongly influenced by the. Other variables such as the angle of displacement were kept. Assuming this motion to be simple harmonic, its period also yields a spring constant, thereby providing an additional check. Describe and predict the motion of a damped oscillator under different damping. Simple harmonic motion simple pendulum phys 215, t 3pm purpose the purpose of this experiment was to prove that the period of a simple pendulum is independent of both the mass of the hanging this report outlines the steps taken toward optimizing a twostage chemostat that produces 850 metric this lab aims at experimentally. Two of the most common harmonic oscillators are pendulums and springs. Hookes law and simple harmonic motion rowan university. 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. L112 lab 11 free, damped, and forced oscillations university of virginia physics department phys 1429, spring 2011 this is the equation for simple harmonic motion. Simple harmonic motion austin community college district. For our final lab of associated with physics i, we will dissect the motions of a mass on a spri. Simple harmonic motion the mathematical model for simple harmonic motion. Determining the acceleration due to gravity with a simple.

January 04, 2010 physics 12 sp4u1 1 hookes law and simple harmonic motion abstract the spring constant of a normal spring was. The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations. In this paper, we are going to study about simple harmonic motion and its applications. Conclusion this lab explored hookes law and simple harmonic motion shm of springs and pendulums. To show that the period or angular frequency of the simple harmonic motion of the torsion pendulum is independent of the amplitude of the motion 3.

Shm arises when force on oscillating body is directly proportional to the displacement from its equilibrium position and at any point of motion, this force is directed towards the equilibrium position. Appendix b objective to investigate simple harmonic motion using a simple pendulum and an oscillating spring. One definition of simple harmonic motion is that it is motion under a linear, hookes law restoring force. The period, t, of an object in simple harmonic motion is defined as the time for one complete cycle. It is also possible to study the effects, if any, that amplitude has on the period of a body experiencing simple harmonic motion.

Part 2 simple harmonic motion with damping the index card was attached to the ryerson university pcs 125 fall 20 physics lab shm. The angular frequency and period do not depend on the amplitude of. Hookes law f kx f is force is newtons k is the spring constantnm x is the. Lab 1 this is a lab report for a physics experiment on simple. One example of shm is the motion of a mass attached to a spring. In this lab, you will experimentally determine the spring constant of a spring, and use this to. To demonstrate that the motion of the torsion pendulum satisfies the simple harmonic form in equation 3 2.

In this lab, you will explore the oscillations of a massspring system, with and without damping. In this experiment you will measure the spring constant using two different methods and compare your results. Data sheet simple harmonic motion january 1, 20 procedure 1. Sample lab procedure and report the simple pendulum in this laboratory, you will investigate the effects of a few different physical variables on the period of a simple pendulum. 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 hookers law. T period, or the length of time it takes for the pendulum to swing back and forth.

Simple harmonic motion 5 shm hookes law shm describes any periodic motion that results from a restoring force f that is proportional to the displacement x of an object from its equilibrium position. Galileo galilei isaac newton michael faraday sample albert einstein lab report. Hookes law was represented by the equation f kx and the spring constant k was measured using the spring force and distance of an object from its equilibrium position. Physics 326 lab 6 101804 1 damped simple harmonic motion purpose to understand the relationships between force, acceleration, velocity, position, and period of a mass undergoing simple harmonic motion and to determine the effect of damping on these relationships. The basic idea is that simple harmonic motion follows an equation for sinusoidal oscillations. This lab is set up for us to to be able to determine the spring constant with two different methods and the. There are a number of examples of bodies that undergo simple harmonic motion, and one of the simplest is a mass suspended and set to vibrating on a spring.

Harmonic oscillation learning goals after you finish this lab, you will be able to. In the experiment, both the length and the mass of the bob were varied. When the block is halfway between its equilibrium position and the end point, its speed is measured to be 30. Lab 4 simple harmonic motion simple harmonic motion shm is the motion of an object subject to a force that is proportional to the objects displacement. Energy conservation in simple harmonic motion page 2. Report the result and its uncertainty with appropriate significant digits. The position of the oscillating object varies sinusoidally with time.