For the truss loaded as shown, determine the equation for the line of action of the stand-alone resultant R and state the coordinates of the points on the x- and y-axes through which the line of action passes. All triangles are 3-4-5. Assume F₁ = 40 kN, F2 = 50 kN, F3 = 35 KN, F4 = 40 kN, and M = 100 kN-m.

For the truss loaded as shown, determine the equation for the line of action of the stand-alone resultant R and state the coordinates of the points on the x- and y-axes through which the line of action passes. All triangles are 3-4-5. Assume F₁ = 40 kN, F2 = 50 kN, F3 = 35 KN, F4 = 40 kN, and M = 100 kN-m.

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

For the truss loaded as shown, determine the equation for the line of action of the stand-alone resultant R and state the coordinates of the points on the x- and y-axes through which the line of action passes. All triangles are 3-4-5. Assume F₁ = 20 kN, F₂ = 40 kN, F3 = 40 kN, F4 = 50 kN, and M = 120 kN-m. 6 m H C F₁ Answers: 8 m F₂ Equation of line: y = x-axis: x = i -1.04 y-axis: y = i 1.37 B ·x M D 1.32 F₁ F₂ E E X+ 1.37 E
For the truss loaded as shown, determine the equation for the line of action of the stand-alone resultant R and state the coordinates of the points on the x- and y-axes through which the line of action passes. All triangles are 3-4-5. Assume F₁ = 10 kN, F2 = 20 kN, F3 = 25 KN, F4 = 40 kN, and M = 120 kN.m. A 6 m H G F₁ Answers: 8m x-axis: x= i y-axis: y = i F₂ Equation of line: y = IN B M D F₁ F₂ m m X+ m
Using the Cartesian components (rectangular components), determine the resultant of the force vectors answering the magnitude in the space provided below and the direction in the procedure document. Only handwritten Draw to approximate scale the sum-of-forces polygon showing the original vectors and the resultant. In a separate document show the entire work. F = 252lbs, F₂ = 130lbs, a = 65° F3 = 55lbs, m = 6.2, and n = 8.6
For the truss loaded as shown, determine the equation for the line of action of the stand-alone resultant R and state the coordinates of the points on the x- and y-axes through which the line of action passes. All triangles are 3-4-5. Assume F₁ = 10 kN, F₂ = 40 kN, F3 = 45 KN, F4 = 20 kN, and M = 120 kN-m. 6 m H (5 5 Answers: 8 m x-axis: x = i y-axis: y = i F₂ Equation of line: y = i B M D F₁ F₁ m m X+ i m
For the truss loaded as shown, determine the equation for the line of action of the stand-alone resultant R and state the coordinates of the points on the x- and y-axes through which the line of action passes. All triangles are 3-4-5. Assume F₁ - 35 kN, F2-20 kN, Fs-20 kN, F4-15 kN, and M-140 kN-m. - x 6m 8m H Ch Answers: Equation of line: y = x-axis:x- i y-axis: y = i B C M D F₁ F₁ EE X+ i m
Sample Problem 2/4 Forces F₁ and F₂ act on the bracket as shown. Determine the projection F, of their resultant R onto the b-axis. Solution. The parallelogram addition of F, and F, is shown in the figure. Using the law of cosines gives us R² = (80)² + (100)² - 2(80)(100) cos 130° R = 163.4 N The figure also shows the orthogonal projection F, of R onto the b-axis. Its length is F₁ = 80 + 100 cos 50º = 144.3 N Note that the components of a vector are in general not equal to the projec- tions of the vector onto the same axes. If the a-axis had been perpendicular to the b-axis, then the projections and components of R would have been equal. 32 Chapter 2 Force Systems PROBLEMS Introductory Problems 2/1 The force F has a magnitude of 800 N. Express F as a vector in terms of the unit vectors i and j. Identify the x and y scalar components of F. F = 800 N F = 7kN 2/2 The force F has a magnitude of 7 kN and acts at the location indicated. Express F as a vector in terms of the unit vectors i and…
HOME WORK 3 Determine the resultant force at A. for the figure below Hint : 1- Find the position of all points A,B,C (x, y, z) 2- Find FAR and FAC 3- Find |raR| and Iracl 4- Find FAR = F UAB and FAC = F UAC 5- Finally find R and a, B,Y 3m Fc= 500N FB= 500N 3m 5m 3m B 4m 2m 5m
Problem 4 From the figure, w1 =13kN/m, w2=10kN/m, F1 =7kN 1. Find the resultant of the forces 2. Find the location of the resultant from point B. 7m 4m 2m
Can I have the method in vector mathematics. In lifting a heavy box, a man uses a block and tackle attached to the bottom of an I beam at hook B. The man applies 195 N force to end A of the rope. Given: X1 : 2.943 m Z1 : 1.655 m Z2 : 4.167 m a.) Determine the value of Y1 if the z-component of the moment at the origin is 254.558 N·m b.) Determine the x-component pf the Force Vector F. c.) Determine the mass of the box. If you believe that there is no possible way to solve the problem, justify on why the problem is invalid.
Five forces and a couple act on the plate shown in the figure . - Find the resultant ( R ) Of the four forces , and its angle (e). - Locate it with respect to point ( O). - Show where the resultant cuts both the x - and y- axes. 400KN 7m 1o0 KN 6 m lom 800 KN-m V150 KN 18m 7200KN 100 KN L 8 m
6 in 60° 20 in Statics Instructor A vertical force of P = 100 lb is required to remove the nail at C from the board. Determine the magnitude of the moment about B exerted by the 100 lb vertical force. Draw a free body diagram for the system. Then, use what you know about moments to solve for Mp What is the magnitude of the moment at point B due to P if P = 100 lb and 9 = 10"? Round to the nearest whole number. Enter a response then click Submit below lb in
For the truss loaded as shown, determine the equation for the line of action of the stand-alone resultant R and state the coordinates of the points on the x- and y-axes through which the line of action passes. All triangles are 3-4-5. Assume F₁ = 20 kN, F₂ = 20 kN, F3 = 10 KN. F₂ = 50 kN, and M = 145 kN-m. 6m 8 m B H Answers: Equation of line: y = x-axis:x= y-axis: y = F₁ EE X+ m