Tension force questions

T E M P L E U N I V E R S I T Y P H Y S I C S Force and Tension Learning Goals for this Laboratory: • Apply Newton’s Laws to a two-dimensional problem • Practice using simulation and projection to predict properties of a system • Practice solving for the forces in static equilibrium situations Part I. Slackline Fail a) Watch the video here of a person on a slackline (rope) over a pool. https://www.youtube.com/watch?v=AvBKR_Y8woo Clearly the column collapses because it is designed to support forces acting vertically, not horizontally! b) Assume the tension force FT is the same all the way through the, and that ends of the rope are both tied off at the same height. Sketch a free body diagram of the person showing the forces acting and their direction. Be sure to include the tension forces in the rope and the angle  that the rope makes with the horizontal. Include the diagram in your report. According to Newton’s 3rd law, what is the magnitude of the horizontal force acting on the column? Write your answer in terms of FT and the angle . Question 1. c) Use Newton’s laws and the equilibrium condition to estimate the maximum horizontal force exerted by the slackline on the brick column just before it collapses. Work together with your lab partners to make as good an estimate as possible. Discuss what values are needed and make reasonable estimates for them. d) Make a graph of the tension force vs. the angle of the rope for all angles 10 to 90 degrees, given that the load remains the same. Are there angles for which the tension force FT is greater than the weight of the man? Support your answer with evidence. Question 2. If the brick column is rated to withstand up to 500 N of horizontal force, what is the maximum weight person that can get on the slackline without overloading the column? Assume the same angle as the case you estimated in the video. Answer in either pounds or kg, whichever you are more familiar with. Question 3. If the rope weighs 100 g how straight can you make it across the pool? In other words, can you cinch it up until it’s completely horizontal? If not, what is the smallest angle you can make it to not overload the 500 N limit? Question 4. 1 5/26/2020 5:41 AM T E M P L E U N I V E R S I T Y P H Y S I C S Part II. Static Equilibrium in Two Dimensions In Part II we’ll practice working a real 2-D force problem using tension. a) Get a shoestring or something of similar length (other options: thread, wire, loop together some hair ties or rubber bands). Tie an object with a little mass to the end of the string; keys work great. Hang the string from the spring scale and record the weight of the string plus keys in a data table (if it maxes out your spring scale lighten the load and remeasure). b) Now hang the string from a fixed object like a doorknob and then use the spring scale to pull the string to the side so that the spring scale and the string are at different angles like this: Figure 1 String hanging vertically down with keys at the end. Spring scale pulling up to the left so that string angles up and to the right. c) Use the inclinometer tool in the Physics Toolbox Sensor suite app on your phone to measure the angles of the string and the spring scale. Does the angle measurement make sense? Take care that you are interpreting the inclinometer correctly, the pitch is the easiest readout to use. Record the angle of the spring scale and the string in a data table, also note whether the angles you measured are with respect to the horizontal or the vertical. d) Also take a picture of your setup for your lab report. e) Sketch a free body diagram of your setup and include it in your report. f) Use the principle of static equilibrium to find the tension in the string. Question 5. Is the magnitude of the tension you found reasonable considering what we know from Part I and the known mass of the keys? Support your answer. If your answer is not reasonable, go back and recheck your calculation. 2 5/26/2020 5:41:00 AM ...