mechanical engineering

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timer Asked: Mar 6th, 2018
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Question description

i need you to write a lab report with following structure abstract ,introduction,Procedure and method,Analysis, result &dissection and conclusion

i am international student so please everything meed to be sample not that advance word. most importantly use your own work do not plagiarism

everything need to be normal and sample read the lab and check everything before you bid thank you

i will post the lab manual and the picture of result

mechanical engineering
img_1591.png
mechanical engineering
img_1592.png
BME 206 BME Sophomore Lab Spring 2018 Mechanical Systems Dynamics PURPOSE In this experiment, you will measure the period of oscillation of a spring and mass system on an incline at different angles and compare it to the theoretical value. You will also measure and compare the periods of oscillations of a cart attached to various combinations of springs. THEORY For a mass attached to a spring, the theoretical period of oscillation is given by m , (1) T  2 k where T is the time for one complete back-and-forth cycle, m is the mass that is oscillating, and k is the spring constant. According to Hooke’s Law, the force exerted by the spring is proportional to the distance, ∆x, by which the spring is compressed or stretched, F = k∆x, where k is the spring constant. The spring constant can be experimentally determined by applying different forces to stretch the spring different distances. When the force is plotted versus distance, the slope of the resulting straight line is equal to k. If the period of oscillation is measured, the spring constant can be determined by 4 2 m . (2) k T2 You will determine spring constant of a spring by measuring the period of oscillation and mass of a cart attached to the spring. You will use the same method to determine the effective spring constant of two identical springs combined in series and in parallel. For each type of combination, you will discover the relationship between the spring constant of the single spring and the effective spring constant of the combination. Page 1 of 1 Biomedical Engineering Department Standard Operating Procedure No. BME 206-S17-3 Title: Rev. Mechanical Systems Dynamics Experiment Effective Date: February 12, 2017 PURPOSE The purpose of this experiment is to investigate the properties of springs and oscillatory motion. SCOPE This standard operating procedure covers experiments mechanical systems dynamics performed in BME 206 (BME Sophomore Lab). SAFETY REQUIREMENTS Follow all general laboratory safety procedures when performing these experiments. EQUIPMENT AND MATERIALS The following equipment and supplies are required for these experiments:         Stopwatch Tape measure Inclined track with end stop PAScar Pivot clamp Set of linear springs Mass set Balance PROCEDURES A. Exercise 1: Measurements to Find the Spring Constant and Theoretical Period 1. Measure the mass of the PAScar and unstretched length of a spring. 2. Install the end stop on the track near one end. 3. Set the cart on the track and attach a spring to one end. Attach the other end of the spring to the end stop. Page 1 of 4 A Biomedical Engineering Department Standard Operating Procedure Mechanical Systems Dynamics Experiment No. BME 206-S17-3 Rev. A 4. Incline the track by raising the end of the track where the spring attached as shown in Fig. 1. Use the pivot clamp and support stand to hold the track at this angle. As the end of the track is raised the spring will stretch. Keep the angle of the inclination of the track small enough so the spring is not stretched more than about 50 cm. Fig. 1 Incline track with spring and PAScar 5. Determine the angle of incline by measuring the total length of the track and the height of the track at its highest point. 6. Let the cart hang freely and come to rest. Record the equilibrium position. 7. Add mass to the cart and record the new resting position. Repeat this for a total of 5 different masses, being careful not to overstretch the spring. 8. Remove all the added mass from the cart. 9. Displace the cart from equilibrium a specific distance and let it go. Record the time for 3 complete oscillations (back and forth). Repeat the measurement at least 5 times, using the same initial displacement. 10. Change the angle of the incline and repeat steps 8 and 9. Follow steps 8 and 9 for a total of three different angles. B. Exercise 2: Measuring Spring Constants for Various Spring Configurations 1. Choose a set of 3 identical springs. Note that you do not need to use the same spring used in Exercise 1. 2. Attached two end stops at either end of the track. Then, attach one end of a spring to one of the end stops and the other end of the spring to a PAScar. 3. Incline the track by raising the end of the track where the spring is attached. As the end of the track is raised the spring will stretch. Keep the angle of inclination of the track small enough so the spring is not stretched more than about 50 cm. Use the pivot clamp and support stand to hold the track at this angle as shown in Fig.2 Page 2 of 4 Biomedical Engineering Department Standard Operating Procedure Mechanical Systems Dynamics Experiment No. BME 206-S17-3 Rev. A Fig. 2 Inclined track setup for single spring 4. Displace the cart from equilibrium, being sure to not overstretch the spring. Then let it go and record the time for 2 complete oscillations (back and forth). Repeat this measurement at least 5 times, using the same initial displacement. 5. Add a second spring in series as shown in Fig. 3 and repeat step 4. Fig. 3 Inclined track setup for springs in series 6. Put two springs in parallel as shown in Fig. 4 and repeat step 4. Fig. 4: Inclined track setup for springs in parallel 7. Move the lower end stop up the track. Arrange the springs as shown in Fig.5, making sure not to overstretch the springs (50 cm max length). Repeat step 4. Fig. 5: Inclined track setup for springs at either end Page 3 of 4 Biomedical Engineering Department Standard Operating Procedure Mechanical Systems Dynamics Experiment No. BME 206-S17-3 Rev. A ANALYSIS A. Exercise 1: Measurements to Find the Spring Constant and Theoretical Period 1. Using your data for the calculated angle, calculate the force caused by the mass of the cart: F  mg sin , (3) where  is the angle of incline. 2. Determine the amount of stretch in the spring (∆x) for the equilibrium position and for all positions with added mass. Plot force versus ∆x. Draw the best-fit straight line through the data points (forcing the y-intercept to zero) and determine the slope of the line. The slope is equal to the effective spring constant, k. 3. Using the mass of the cart and your calculated spring constant calculate the theoretical period of oscillation using (1). Compare this value to the average value you obtained from your experiments. B. Exercise 2: Measuring Spring Constants for Various Spring Configurations 1. Using your data for the average period for each configuration, use (2) to calculate the effective spring constants for each configuration. DOCUMENTATION Write your laboratory report in the form of a technical report. Answer the following questions in your Discussion section:  Does the period vary as the angle is changed?  How do the experimental values compare with the theoretical values?  Does the equilibrium position change as the angle is changed?  What would be the period if the angle was 90°?  For which type of combination, series or parallel, is the effective spring constant equal to 2k?  For which type of combination, series or parallel, is the effective spring constant equal to k/2?  Is the arrangement with spring at opposite ends a series or parallel combination? Page 4 of 4

Tutor Answer

Thomas574
School: University of Maryland

Attached.

Running head: OSCILLATION LAB R EPORT

0

Oscillation Lab Report
Name of student
Professor’s name
Course title
Date

OSCILLATION LAB REPORT

1

Abstract
The aim of carrying out the experiment was to investigate oscillation motion pf springs as well as
properties of springs. In order to achieve the experimental objective, we had to measure the period or time
of oscillation of the spring and mass system while inclined at different angles. All the experimental values
were then compared with the known or the theoretical values. Additionally, we also measured and
compare the time-periods of different oscillations of a cart positioned at different points of the spring.

OSCILLATION LAB REPORT

2

Introduction
The working principle of springs lies under the concept of Hooke’s law. Hooke’s law states that,
force applied on a spring balance is directly-proportional to the spring extension. In other words, F=Ke,
whereby F is the force applied on the spring, k is the spring constant and e is the spring extension.
According to this law, the spring consta...

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Anonymous
Top quality work from this guy! I'll be back!

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