### Determining Tension in Cables AB, AC, and AD#### Problem Statement:If the magnitude of the vertical force \( F \) is 1.06 kN, determine the tension in cables AB, AC, and AD.#### Diagram Explanation:The provided diagram is a 3-dimensional representation of a structural system involving a vertical force \( F \) and four cables, denoted as AB, AC, AD, and AO. The origin \( O \) is located at the ground level, directly below the point where the vertical force \( F \) of 1.06 kN is applied.1. **Coordinate System**: - The origin \( O \) is at the intersection of the x, y, and z axes. - The positive z-axis points upward.2. **Positions of Anchoring Points**: - Point \( A \) is located vertically above the origin, at a height of 6 meters on the z-axis. - Points \( B, C \), and \( D \) are the ground anchoring points of the respective cables. - \( B \) is located 3 meters along the negative x-axis and 3 meters along the negative y-axis from \( O \). - \( C \) is located 2 meters along the negative x-axis and 1.5 meters along the positive y-axis from \( O \). - \( D \) is located 3 meters along the positive x-axis and 6 meters along the positive y-axis from \( O \).3. **Cables**: - **Cable AB**: Stretches from point \( A \) to ground point \( B \). - **Cable AC**: Stretches from point \( A \) to ground point \( C \). - **Cable AD**: Stretches from point \( A \) to ground point \( D \).To solve for the tensions in cables AB, AC, and AD, it is essential to use static equilibrium principles, where the sum of forces in all three dimensions (x, y, z) must equal zero.**Note**: Vector and trigonometric methods will typically be required to resolve the forces in each of the cables and find the tensions accurately.This example is commonly used in engineering education to teach the principles of static equilibrium and vector resolution of forces.

If the magnitude of the vertical force F is 1.06 kN, To find-The tension in cables AB, AC and AD

Answered: If the magnitude of the vertical force…

If the magnitude of the vertical force F is 1.06 kN, determine the tension in cables AB, AC and AD. 3m 6 m- 6 m 3 m F A O 7 B 2 m- 2 m 1.5 m y

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

The link shown is subjected to two forces F1 and F2. ... Determine the magnitude and direction of the resultant force. ... F = 750 N F = 300 N F = 400 N 30° 50°
The combined action of the three forces on the base at O may be obtained by establishing their resultant through O. Determine the magnitudes of R and the accompanying couple M. Assume F₁ = 350 lb, F₂= 620 lb, F₂ = 520 lb, a = 5.4ft, b = 2.9 ft. c = 4.0 ft, and 0 = 50° Answers: R= i 1091.134 lb M= i 9719.344 lb-ft
The combined action of the three forces on the base at O may be obtained by establishing their resultant through O. Determine the magnitudes of R and the accompanying couple M. Assume F₁ = 410 lb, F₂ = 660 lb, F3 = 700 lb, a = 5.8 ft, b = 2.0 ft, c = 3.9 ft, and 0 = 53° a Answers: R = i lb M = i lb-ft
If the resultant of the four forces is FR = (-363k) lb, determine the tension developed in each cable. 2 n 20 FA B20 Fc FD D 3f ELA 6 fl C 3 ft
Replace the force system acting on a plate by a single force and determine where the line of action of this force intersects the x-axis and the y-axis. y 180 N 240 mm- 300 N 70° 15° 63 N.m 120 N 500 mm 60 N.m 180 mm 150 mm -300 mm- X -600 mm-
If the resultant of the forces shown passes through point A, determine the magnitude of the unknown pulley tension T2. The pulley is welded to the frame and is therefore not free to rotate. 1.3 m 260 N Answer: T₂ = i 0.4 m A T₂ 827.32 1.7 m 59° 1440 N B 0.70 m 1.40 m 660 N 240 N N
The convergent system of 4 forces acting on an absolutely rigid body is balanced (ΣFKY = 0). Determine the projection of the fourth force on the Oy axis if F1y = 160.0 kN; F2y = -46.0 kN; F3y = 36.0 kN;.
1-If the resultant force acting on the support is to be 1500 lb, directed horizontally to the right, determine the force F in rope A and the corresponding angle 0. 60° B F 1100
Two rods and one cable are attached to the supports at O. If two of the forces are as shown, determine the magnitude F and direction of the third force so that the resultant of the three forces is vertically downward with a magnitude of 1060 lb. 840 lb Answers: F= 0= i 8 i 48 -CT 231 lb 0 400 lb
Q1) If F= 320 N, F2= 500 N, 250 N 1m 2 m 3 m replace the force- couple system B by equvalent force acting at A. 2 m 400 N-m 60 3 m
4 m FB Fc 1.3 m B 3 m 3m 1.25 m C 門 LEGO
Resolve the 360-lb force into components along the cable AB and AC. Use a = 60° and B = 40°