03 Physics 205L Atwood Machine S24

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School

Sierra College *

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Course

205L

Subject

Physics

Date

Apr 3, 2024

Type

docx

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4

Uploaded by JamilQ

Physics 205L Spring 2024 The Atwood Machine Introduction To understand motion, one must introduce the concept of force. A detailed quantitative understanding also requires Newton's 2nd law and an organized analysis generally involving a "free-body diagram". In this second laboratory exercise, you will apply such an approach to an Atwood Machine in the form of a Smart Pulley. This interesting and useful instrument interfaces with a computer to provide automatic measurement and data collection as well as data analysis. Objectives Experimental: To verify Newton's 2nd law. Learning: 1) To become more familiar with Newton's 2nd law and free-body analysis. 2) To learn how to use the Smart Pulley. 3) To understand the Atwood Machine. NOTE: You will need to upload the Capstone file of your collected data into Canvas to get credit for the lab report (no emailed files accepted). The data in the Capstone file must match the data in your report. You will need to include one sample graph for each part of the lab. Theory Newton's 2nd law states that the net force (vector sum of all forces acting on a particular object) is equal to the mass of the object times the resulting acceleration. In the case of two masses suspended from an Atwood Machine, the application of this statement can lead to and expression relating the acceleration to measurable and known quantities. By calculating the acceleration from this expression and comparing it to the experimentally measured acceleration (using kinematic expressions), Newton's important law can be verified. In the space below, show a detailed free-body analysis of this motion and derive the following expression for the magnitude of the acceleration (4 points). a = [(m 1 -m 2 ) / (m 1 +m 2 )]g , where m 1 m 2 1 Experiment 3
Physics 205L Spring 2024 Apparatus 1. PASCO Interface 850. 2. Smart Pulley. 3. Ring stands, table clamps and right-angle utility clamps. 4. 1.5 m of string and two mass hangers. 5. A set of numbered masses 6. PASCO Capstone. Procedure 1. Locate the Atwood Machine file on the desktop and open it. 2. Using the top-loading electronic balance, measure and record the total mass of M 1 and M 2 . 3. Put M 1 on one side of the pulley and M 2 on other side connected with a string. 4. Move a numbered 2-, 5-, 10-, 20- grams mass (as assigned by the instructor) from M 2 to M 1 . Record the mass of M 1 and M 2 in the table below. 5. Raise M 1 up, dampen any movement, click RECORD, release, and monitor the velocity, and then click STOP. You should see a linear graph with a positive slope. 6. Perform a linear curve fit to the velocity vs. time graph.The slope of the fitted data yields the acceleration of the cart. Record this value in Table I along with the uncertainty. Caution: To report the measured acceleration in a manner that is consistent with its uncertainty, you might need to modify the display of the fitting parameter for each run. To change the display of the fitting parameters, follow the instruction below: Click the curve fit display box, right click within this box, and select “Curve Fitting Properties.” Choose “Numerical Format.” Click the upside-down triangle next to “Coefficients” and select “Fixed Decimal” from the drop-down menu next to “Number Style.” Choose a number greater than 4 from the drop-down menu “Number of Decimal Places” and click the upside-down triangle next to “Coefficients.” Click the upside-down triangle next to “Coefficient Uncertainties” and select “Fixed Decimal” from the drop- down menu next to “Number Style.” Choose a number greater than 4 in the drop-down menu “Number of Decimal Places” and click the upside-down triangle next to “Coefficient Uncertainties.” Click “OK” located at the bottom right of the “Properties” window. 7. Repeat steps 4-6 until all numbered masses have been moved from M 2 to M 1 . Keep the numbered masses in order when you move it. 2
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