Dear Students, Please study the theoretical pro-lab materials. check the reconumended educational website and YouTube videos given below. and try to follow the stepby-step instruction. If you still have any questions regarding this lab, I will also be available by Skype, Zoom.com video conference or email during our regular class time. and beyond in order to provide all the necessary assistance and guidance. Please. contact me at _with any questions but please keep in mind that. it might take me some considerable time to respond, especially if I receive too many of your messages at the same time. 1 Theory Consider a vector All that lies in a plane. It can be. expressed as the sum of two components. The components are usually chosen to be along two ptu'pendicular directions. The. vector A. can be resolved in to its :I: and ycomponents by drawing two lines perpendicular to the :r and yaxes. Then A; and A3, are the x and y components of El, respectively. AI = Aeos'. {1] A\" = Asiu. where A = [Al = MAE + A: is the magnitude, or the. absolute of the vector A. s _. 4 Let's consider vector C, which is a sum of two vectors A and B a C = + E {2) The Illagnitudes of the two vectors can not be added like regular numbers Ilfllt (3) However, the. :r and y components of these three vectors do satisfy such relations: CI = A. + Br, {4) Cy = A1; + By ' wl 1e re. A, = A (10819\" . {5) A9 = Asinf)\". BI = Bcos 65, By = B Hill 65. After the components of vector C are known, its magnitude and angle to the ;raxis could be determinml by: C=[C|='/C+C. {(5) C ,. = tan'l (5:) . This online laboratory experiment will be largely devoted to finding the compo- nents, Iiiagnitudes and angles for a sum or difference of two vectors A and B. 4. 4 Nnvednrseleded CI E -v a 3.5:; J' 14' ml 4. I-Il mi N nI El 1?: dmon Equt Figure. 1: (Color online) Schematics for Step 3. Calculate the components, magnitude and the direction (ange to the horizontal) for vector (7: 5+1) rising Eqs. (1) and (5). Attach a detailed calculation to your lab. report. Enable the uppermost checkmark for vector F" a: .' and compare the answer r:r and 9\" (experimental) with the results cu, and 65th (theoretical) which you obtained. You may not have exactly the same results due to some calculation error. Find the percent error as . ifi'm '7", error = - 100% . (7) cm + cC and 6c c 6r. 7 error : 2 W - 1009i . (8) Lab Report I am not going to demand any specic format or presentation style of your lab reports. This is completely up to you: you can type it in MS \\i'ord. Latex. onliiie Google documents. you can just scan the handwritten notes or even take the pictures 011 your phone. However. it is crucial that you: 1. 3. Do and properly explain all Steps which are printed in bold font in the Procedure section. Each such Step or a task (printed in Bold in you manual) should be properly addressed in your lab report in all detail. Provide sample calculations which include all the equations. numbers and units for every calculation which you have performed for your lab experiment. Sample calculations means that you don't need to repeat it in all detail if the same calculation is performed multiple times. such as lling a table for different values of a parameter. However. you will still need to do the calculation each time and put in the results into the table. Conclusions, or main physics learning points from this experiment. Here. you should briey discuss which laws of physics you have learned and experimentally tested. what kind(s) of phenomena you have dealt with. as well as your calculations and mathematical equations. Is this experiment helpful for your science education in general and why",J Discuss the precision of your results and the percent errors. make any other comments you might think of {no one will be penalized for making critical comments regarding our course). This section should not exceed 15 lilies. Here. I will specically value its originality, your own words and thoughts which are not copied from a textbook or someone elses report. Also, there are no specic requirements regarding the size of your lab report and. in fact. you cannot nd a professor who wants to receive and grade 30page reports but all the questions need to ho answered completely and in a lot of cases your score depends directly on the amount of relevant and original information which you provide within a specific response. The report should he submitted to Blackboard as an Assignment on or before the posted date or (as an exception. if the Blackboard submission system failed) sent by email to l_n. 2 Useful resources 2.1 Educational websites . https://www. grc. nasa. gov/WWW/K-12/airplane/vectadd. html . https://www. physicsclassroom. com/class/vectors/Lesson-1/Vector-Addition 2.2 YouTube videos . https://www. youtube. com/watch?v=HseRUq-IACw . https://www. youtube. com/watch?v=1G5E_x0MgLc . https://www. youtube. com/watch?v=81y6cEyolaI and many-many others available online. 3 Procedure 1. Start by clicking on the following link: https://phet . colorado . edu/sims/html/vector-addition-equ latest/vector-addition-equations_en . html 2. Focus on a control panel in the upper right corner of your screen. Make the following modification to its settings: . Remove (disable) the V-checkmark for c-vector Cc - . Enable the ticks for Values O Values and Angle 20 0 4: below the one. . Move down to the "Components section" and choose any available option to make the components visible (change the default "invisible" option to any other, such as ) . Move further down to the "Add (+) Base vectors" option + Base Vectors and change the initial setting to any finite values (each of you is expected to choose different values of the vector components). Record your ar, br, dy and dy in your lab. report. 3. Now your screen should look similar to what is shown in Fig. 1. You may also take a snapshot of your screen and attach it to your lab report (optional)