Learning Goal: Check that the angle in your calculator is in "degrees", sin30 = 0.5 Application of Newton's Laws The free-body diagram (force diagram) has be n, set the +x to the right and +y axies upward. This problem has similarity to Openstax textbook example 4.8, which was also solved in lecture. Pay attention to the details of geometry. An extremely helpful problem-solving tip is to fill in the table on the right side of the above figure. Rescue It is extremely helpful to make a table ike this. fill in each item (use " space Part A - T = Force T 1: Here magnitude T, is unknown, use a symbol T, as space holder. What are its correct x- and y- components? Pay attention to what angle to use, which trignometrical functions to use, and the signs of the components. W. = F. -T. +1. +W. 2F, -T, +Ty -W, There are more than one correct answer. For this type, if your choice(s) is (are) correct but you don't choose all of the correct answers, the system will grade as incorrect. 2nd law EF, = ma, EF, = ma O T1x = -T,sin150, Tly = T,cos150 A person whose mass is m = 55.0 kg in the picture is being rescued from being held motionless momentarily by the two tension O Tix =-T,cos(90-159), Tly = T,sin(90-150) forces, T1 and T2 in the two ropes. The angle of T'1 (in the left rope) to the vertical is 150, and the angle of T2 (in the right rope) above the horizontal is 10 . T1 0 Tix = -T,cos150, Tly = T,sin 15 The magnitude of the gravitational acceleration is 9.80 m/s? . You will find the magnitudes of T, and T2 Tix = T,cos(90-150), Tly = T,sin(90-159) Tix = T,sin 150, Tly = T,Cos 150 Submit Request Answer Part B - Force T'2: Here magnitude T2 is unknown, use a symbol T2 as space holder What are its correct angle to use, which trignomet e signs of the components. There are more than one correct answer. For this type, if your choice(s) is (are) correct but you don't choose all of the correct answers, the system will grade as incorrect. T2 T2x = T2Cos10, Tay = T2sin 100 O T2x = T2sin10, Tay = T2cos 100 Submit Request Answer Part C - Remember: weight is a force, which is a vector. Calculate its x- and y- components. Pay attention to what angle to use, which trignometrical functions to use, and the signs of the components. Keep 2 digits after the decimal point. Unit is Newtons. Separate answers by commas. weight vector Wz. Wy = Submit Request Answer Now the table on the right side of the figure is complete with T, and T2 as space holders. You can write up EF, and EFy, with T, and T2 as space holders. The person is being held Motionless. Based on this fact, you can set up two equations involing T, and T2 by applying Newton's Laws (1st or 2nd). Then you solve for T, and T2 (both should be positive). Part D - The magnitude of T 1 is: magnitude Ti Submit Request Answer Part E - The magnitude of T2 is magnitude T2= Submit Request