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(17%) Problem 4: Three ropes are connected to a metal ring of negligible mass, as shown in the diagram. A traffic light with a

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(17%) Problem 4: Three ropes are connected to a metal ring of negligible mass, as shown in the diagram. A traffic light with a weight of Fg =207 N hangs from rope 1, which is vertical. Rope 2 and rope 3 are connected to a horizontal roof and make angles of =61 and 0 =31 with the horizontal, as shown. Let FTI, FT2, and FT3 be the tensions in ropes 1, 2, and 3, respectively. A coordinate system has been provided. y 2 1 3 20% Part (a) Write an expression for the vertical component of the net force on the traffic light. Flight,y= cos(a) cos(Q) sin(a) ( ) 7 89 sin(Q) sin(0) b Fg ^^ 4 5 6 12 3 FT1 FT2 FT3 + - 0 n q R VO BACKSPACE Submit HOME END DEL CLEAR Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 1 Submission History Feedback: 0% deduction per feedback. All Date times are displayed in Eastern Standard Time.Red submission date times indicate late work. Date Time Answer Hints A 20% Part (b) Write an expression for the vertical component of the net force on the metal ring. A 20% Part (c) Write an expression for the horizontal component of the net force on the metal ring. Feedback

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