Three cables pull on the pipe such that they create a resultant force of 900 lb.

Question

Three cables pull on the pipe such that they create a resultant force of 900 lb. If two of the cables are subjected to known forces as shown, determine the angle of the third cable so that the magnitude of force F in this cable is a minimum. All forces are in xy-plane. Hint: first find the resultant of the two known forces.

Three cables pull on the pipe such that they create a resultant force of 900 lb. If two of the cables are subjected to known forces as shown, determine the angle ? of the third cable so that the magnitude of force F in this cable is a minimum. All forces are in xy-plane. Hint: first find the resultant of the two known forces.

Explanation / Answer

angle between 600lb and 400 lb is 45 + 30 = 75

R = { (600 )2 + ( 400)2 + 2 * 400 * 600 * cos 75 } = 802.64 ,

angle tan = 600 sin75 /( 400 + 600 cos 75 )

= 46.224

now the resultant of 400 and 600 is 802.64 and angle from 400lb is 46.224

that means, it 16.224 from X axis

resulatant magnitude is,

if the angle is equal to 16.224 and F is (900 - 802.64 )

F = 97.36 N

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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