A crow sits on a clothesline midway between two poles as shown. Each end of the

Question

A crow sits on a clothesline midway between two poles as shown. Each end of the rope makes an angle of ? = 17° below the horizontal where it connects to the pole. If the combined weight of the crow and the rope is 11.2 N, what is the tension in the rope? ___ N A crow sits on a clothesline midway between two poles as shown. Each end of the rope makes an angle of ? = 17^degreebelow the horizontal where it connects to the pole. If the combined weight of the crow and the rope is 11.2 N, what is the tension in the rope? N

Explanation / Answer

Step 1:Due to weight of the crow and that of the rope itself,a tension T will be developed in both the halves of the rope equally.

Step 2:Now,as the each half of the rope makes an angle ? with the horizontal,so the cos components of the tension(Tcos ?) in two halves of the rope will be in opposite direction,so they will be mutually cancelled.The sin components of tension(Tsin ?) get added in the vertical direction and will balance the weight of the crow and that of the rope.
Hence, 2T sin? =11.2 N or T=11.2/2sin ? Putting the value of ? as 17 degree,you can get the desired answer.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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