LAB b I ension Setup e Go to https://www.ophysics.com/f3.html e Play around with the angles, masses, and friction coefficient. e Pay attention to which way the block moves. First let's work with a frictionless plane, so set the coefficient of friction to be 0. 1. Now set 6 = 0, m; = 6kg, and m, = 9kg (If you click on the line it will move by .1) 2. By hand, calculate the acceleration of the system. 3. By hand, calculate the tension in the string. 4. Press \"Show numerical values\" to double check your answers. (Note: the sign of the acceleration depends on which direction you define as positive and will be opposite your sign if you have positive in the other direction) Now set the coefficient of friction to be 0.2. 5. Using the simulation, what is the acceleration? 6. What is the Tension? 7. Using the simulation, what would the coefficient of friction need to be to make the system stay at rest? 8. Calculate this answer by hand. Using the simulation, find the acceleration and tension in the following cases. 9. 8 =20 my = 2kg, m, = 6kg, and py, =0 10.0 = 60, m; = 8kg, m, = 3kg, and w, =0 Now find the acceleration and tension if the coefficient of friction is 0.2 11. 8 = 20, my; = 2kg, my = 3kg, and p, = 0.2 12.0 = 60, m; = 5kg, m, = 3kg, and y; = 0.2 **A couple of ways we could make this system stay at rest is to change the mass of m, or to change y;.** The system will be at rest when the force of gravity pulling on m, down the plane combined with the force of friction will equal the weight of m; Now suppose 8 = 30, m; = 6kg, m, = 8kg. Calculate by hand: 13. What would m, need to change to keep the system at rest? (Verify your result with the simulation) 14. What would the smallest y;, be. (Verify your result with the simulation)