Problem 9.13 Part A Find the tension in two supporting the traffic the wires igh

Question

Problem 9.13 Part A Find the tension in two supporting the traffic the wires ight shown in (Figure 1). Suppose that m = 25 kg Find the tension in the wire BA. Express your answer to two significant figures and include the appropriate units . H a in a OD ? Fr BA = Value | Units Figure 1 E of 1 Submit My Answers Give Up Part B A53 37 C Find the tension in the wire BC. Express your answer to two significant figures and include the appropriate units. Om H WA sh a CE ? Fr BC = 173 NJ Submit My Answers Give Up Incorrect; Try Again; 4 attempts remaining

Explanation / Answer

  Since the lght is in equilibrium, write equations from Newton's 2nd law for the horizontal (in x) and the vertical (in y) forces acting on the light. Horizontally :

F(x) = 0 = -Tcos37.0° + Tcos53.0°----->eqn (1)

Vertically :

F(y) = 0 = Tsin37.0° + Tsin53.0° - (25.0kg)(9.80m/s²)---->eqn (2)

Solving (1) for T :

T = T(cos37.0° / cos53.0°)
= 1.33T

Substitute this into eqn (2) :

Tsin37.0° + 1.33Tsin53.0° - 245N = 0
1.66T = 245N
T(BA) = 147.59N

Now, T can be found from eqn (1) :

-147.59Ncos37.0° + Tcos53.0° = 0
T = 147.59Ncos37.0° / cos53.0°
(BC)= 195.85N

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.