PHY122_Vectors%26Statics_worksheet

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Arizona State University, Tempe *

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122

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Mechanical Engineering

Date

Apr 3, 2024

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pdf

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5

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VECTORS AND STATICS – LAB WORKSHEET Name: Partners: TA: OBJECTIVE DATA Hanger mass = kg Mass Angle Angle Units kg deg rad Pulley 1 Pulley 2 Pulley 3 Δ m 3 kg Units deg rad Δ 3 (right) Δ 3 (left) Δ 3 (avg) 1. What is the meaning of net force? 2. What is the mathematical expression used to calculate net force? Remember forces are vectors. 3. What is the expected value of net force and its x and y components for this experimental setup? 1 #Sample/Drawing
DATA ANALYSIS 4. Calculate the magnitude of each of the tension forces (see Eq. 3). T 1 = T 2 = T 3 = 5. Using a ruler and protractor, draw the free-body diagram of the force table on the graphic below. Your diagram should include three forces and their components , and should be clearly labeled. 2
6. Using Eq. (6), write the equations describing the x and y components of the three tension forces. You should have six equations in total. 7. Using Eq. (7) and Eq. (8), calculate the net tension force in the x and y directions. 3
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Error propagation 8. Using Eq’s (11) - (12), calculate Δ T 3 x and Δ T 3 y ( Hint: You cannot square degrees, so use radians for your calculations). 9. Compare the absolute value of the error ( Δ T ) to the magnitude of the force ( T ) in each direction. What is the expected relationship ( , , =) between these values? Δ T net x ? T net x Δ T net y ? T net y Another way to think of this is whether the ratio Δ T net x / T net x (or Δ T net y / T net y ) is 1, 1, or = 1. What does having good data imply for these ratios? 4
Discussion & Conclusion Discussion needs to be typed. But you can write the major points of the lab to include in the discussion below. 5 Divide your discussion into paragraphs. 1) Rephrase the objective. (limit 2 sentences). Give a brief explanation of the concepts of static equilibrium, net force, newtons’ first law that were being investigated/tested in this lab experiment . (limit 8-10 sentences). 2) Describe the procedure of the experiment. (limit 5 sentences). 3) Discuss how the final results of the net force calculations support/prove/disprove the concept. (limit 5 sentences). 4) Discuss all possible sources of errors statistical or systematic. (limit 5 sentences). 5) Conclude your discussion by a statement whether the objective of the lab has been achieved or not. (limit 3 sentences). The objective of the project was to find and understand the concepts of velocity and vector addition when the vectors are in static equilibrium. Static equilibrium when all the subjects in a imaginary system are at rest with respect to each other, Net force is sum total of vector forces acting on a body. Newton,s first law is every object tends to stay at their original state that is the state of rest untill or unless any force is applied on them. For this experiment first we set the three pulleys at different angles and provide them with different masses so that the ring can be center. Following this we added 1-3 g and first moved the pulley left and then right changing the angle to find the angle where the ring gets uncentered. The net force applied is the sum of the forces acting in a respective direction is approximately zero in all direction which is similar to the theoretical knowledge.All possible reasons that led to getting wrong answers are the human errors which involve getting wrong observations or writing the answers wrong or the reason can be measuring or holding the equipments wrongs, etc.The objective of the lab has been achieved as I have understood the assignment and the concepts of vector and vector addition.