Name: Lab Partner(s): Date lab performed: Dr. Julie J. Nazareth Physics 121L/131L Section: Vector Properties of Forces Part A (Do forces add like vectors?) Table 1: Determination of the Equilibrant by Three Different Methods Experimental Graphical Analytic Magnitude**, S (g) ± ± Angles, θ (°) ± ± Part B (Predicting the equilibrant) Table 2: Predict the Equilibrant by Two Methods and Verify Experimentally Analytic Graphical Experimental Check Magnitude**, S (g) ± Angles, θ (°) ± Part C (Breaking up a force into its components) Table 3: Determination of the Components of the Equilibrant by Two Methods Experimental Analytic x-component (θ=0°) magnitude**, Sx (g) ± y-component (θ=90°) magnitude**, Sy (g) ± ** Note: Mass is not a vector quantity, but weight ( = mass * acceleration due to gravity) is. We are simply using mass as a proxy for weight (a force), and saving ourselves the “trouble” of multiplying all of our masses by the acceleration due to gravity at the earth’s surface. Please round the mass to the nearest gram, and remember to include the mass of the weight hanger in the total mass hanging off the string on the weight table. Graphs: Show the determination of equilibrant for parts A & B on graph paper. Draw the vectors you are adding head to tail (use the values given in the lab manual in parts A and B). Draw the sum vector, S, from the origin to the head of the last vector in the sum. Measure the length of the sum vector and use your scale to convert this length to grams. Use the protractor to measure the direction (out of 360°) of your sum vector. The equilibrant, -S, has the same magnitude, but the opposite direction of the sum vector. You do not have to draw in the equilibrant vector on your graph. Write out your result for the equilibrant, -S, (magnitude with units and direction out of 360°) at the bottom of your graph and draw a box around it so it is easy to see. Remember: draw only one graph per sheet of graph paper; use most of the page to draw your graph; put a word title at the top of the graph describing what is being shown; draw/state your scale on your graph Calculations: On a separate sheet of paper, show your calculations of equilibrant (parts A & B) and the components of force (part C). Make sure you clearly labeled/title the calculations and include units. Use the values given in the lab manual in parts A, B, and C. Remember, the equilibrant, -S, has the same magnitude, but the opposite direction of the sum vector. Write out your result for the equilibrant (magnitude with units and direction out of 360°) at the bottom of your calculations and draw a box around it so it is easy to see. Lab: Vector Properties of Forces Data & Reporting score: Updated 12/27/2008 Question: What are the sources of uncertainty in your graphically determined values? (State as many as you can think of and be specific!) You may answer this question in the space below or on an attached sheet of paper. Don’t forget to write your summary! (After your introductory sentence (stating why you are doing the lab), be sure to discuss the following: In all parts, do your results from the different methods agree with each other within uncertainty? (If not, why not?); In part A, do your results support or contradict the hypothesis that forces add like vectors? In part B, how well did you do in predicting the equilibrant (how did the experimental check go)? In part C, do your analytical values for the components of the equilibrant fall in the ranges that you determined experimentally? Be specific in your discussions for parts A, B, and C.) Lab: Vector Properties of Forces Updated 12/27/2008