.-\\... .. u... I'm..-.- -v--...-. -.v. .v- above. The traffic light remains motionless in its new position, now hanging from two cables (Cable #1 and Cable #2) at known angles 61 and 62, respectively, as shown above. By completing the lettered sections below, you will determine the tension (T1 and T2) in each cable. (a) Please write neatly and clearly, use the GFS method to show and explain each step of your work, and use only standard variables like the ones we have employed in class. Please use unruled paper or engineering paper. This part of the Chapter 4 assignment is due in class on Thursday October 27. (b) Draw and label the FBD of the traffic light while it is hanging from the two cables, showing all the external forces that are acting on it. Explain why there is no normal force acting on this traffic light. Each external force must be represented by an arrow that is properly labeled and includes its angle (if any). Be sure to show explicitly the x and y coordinate system you will use. (c) Using the FBD of the traffic light as your point of reference, clearly and neatly write Newton's mplej Second Law equation in the x direction. Next, simplify it using the Given and then solve for T1 in terms of T2, 61, and 62. Call this equation [1]. (C!) Using the FBD of the traffic light as your point of reference, clearly and neatly write Newton's mm Second Law equation in the y direction. Next, simplify it using the Given and then substitute T1 from equation [1] into this equation. Now solve this equation for T2 in terms of m, g, 61, and 62. Call this equation [2]. (e) If m = 30.0 kg, 91 = 12.0, and 92 = 65.0, use equation [2] to find T2 to three significant figures. (1') Use equation [1] to find T1 to three significant figures. Traffic Light Traffic Light Before it was Pulled being Pulled A traffic light of a known mass m kg hangs from a single cable (Cable #1) as shown on the left-hand side of the figure above. In order to service this traffic light, a technician attaches a second cable to it (Cable #2) and pulls it toward the right as shown above. The traffic light remains motionless in its new position, now hanging from two cables (Cable #1 and Cable #2) at known angles 61 and 62, respectively, as shown above. By completing the lettered sections below, you will determine the tension (T1 and T2) in each cable. (a) Please write neatly and clearly, use the GFS method to show and explain each step of your work, and use only standard variables like the ones we have employed in class. Please use unruled paper or engineering paper. This part of the Chapter 4 assignment is due in class on Thursday October 27. (b) Draw and label the FBD of the traffic light while it is hanging from the two cables, showing all the external forces that are acting on it. Explain why there is no normal force acting on this traffic light. Each external force must be represented by an arrow that is properly labeled and includes its angle (if any). Be sure to show explicitly the X and y coordinate system you will use. (c) Using the FBD of the traffic light as your point of reference, clearly and neatly write Newton's wple Second Law equation in the x direction. Next, simplify it using the Given and then solve for T1 in terms of T2, 61, and 62. Call this equation [1]. n... _. ._ -_. u.- u