Three forces are acting on a column and are concurrent at point A. The magnitudes of the forces are F1 = 300 N, F2= 200 N and F3 = 100 N. • The line of action of F1 runs from point A to B expressed in Cartesian coordinates. · F2 has an elevation angle of 30° from the x-y plane. The projection of F2 on the x-y plane has a 50° transverse angle from the (-) y-axis. F3 is expressed in coordinate direction angles of a3 = 45°, ß3 = 60°, with y3 > 90°. F2 B(-5, 3,2)mM 30°

Three forces are acting on a column and are concurrent at point A. The magnitudes of the forces are F1 = 300 N, F2= 200 N and F3 = 100 N. • The line of action of F1 runs from point A to B expressed in Cartesian coordinates. · F2 has an elevation angle of 30° from the x-y plane. The projection of F2 on the x-y plane has a 50° transverse angle from the (-) y-axis. F3 is expressed in coordinate direction angles of a3 = 45°, ß3 = 60°, with y3 > 90°. F2 B(-5, 3,2)mM 30°

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter2: Basic Operations With Force Systems

Section: Chapter Questions

Problem 2.104RP: The three forces of magnitude P can be replaced by a single, equivalent force R acting at point A....

See similar textbooks

Similar questions

A concurrent force system in space is composed of three forces described asfollows: P1 has a magnitude of 100 kN and acts through the origin and points x =3, y = 4, z = 2. P2 has a magnitude of 60 kN and acts through the origin and pointsx = 4, y = 1, z = -2. P3 has a magnitude of 80 kN and acts through the origin andpoints x = 2, y = -3, z = 3. Find the x, y and z–components of each force.
Forces F, P, and T are concurrent. F is acting up to the right at angle α with respect to the x axis, P is directed down to the right at angle β with respect to the x axis and T is directed to the left along the x axis. Determine: The value of F and α if T=450N, P=250N, β=30^0, and the resultant is 300N acting up to the y axis The value of F and α if T=450N, P=250N, β=30^0, and the resultant is zero. The value of α and β if T=450N, P=250N, F=350N and the resultant is zero
Given are 4 points in space: (x,y,x) A(3,2,3) B(0,1,4) C(2,4,1) D(0,5,4) The line of action of force vector F passes from point A to point B and has a magnitude of 20kN. The line of action of force vector G passes from point C to point D and has a magnitude of 35 kN. 1. What is the summation of forces along the Z-axis? 2. What is the magnitude of the resultant force of force vectors F and G? Express your answer in the unit of kN. 3. What is the resultant of the moment caused by force vectors F and G about the origin? Express your answer in the unit of kN-m. (x,y,z) units are in meters. 4. What is the resultant of the moment caused by force vectors F and G about the x-axis? Express your answer in the unit of kN-m. (x,y,z) units are in meters. 5. What is the resultant of the moment caused by force vectors F and G about the y-axis? Express your answer in unit of kN-m. (x,y,z) units are in meters. 6. What is the resultant of the moment caused by force vectors F and G about the…
Given are 4 points in space: (x,y,z)A (3,2,3) B (0,1,4) C(2,4,1) D(0,5,4)The line of action of force vector F passes from point A to point B and has a magnitude of 40 kN. The line of action of force vector G passes from point C to point D and has a magnitude of 50 kN.1. What is the summation of forces along the x-axis? 2. What is the summation of forces along the y-axis? 3. What is the summation of forces along the z-axis?
Given are 4 points in space: (x,y,x) A(3,2,3) B(0,1,4) C(2,4,1) D(0,5,4) The line of action of force vector F passes from point A to point B and has a magnitude of 20kN. The line of action of force vector G passes from point C to point D and has a magnitude of 35 kN. 1. What is the resultant of the moment caused by force vectors F and G about the z-axis? Express your answer in unit of kN-m. (x,y,z) units are in meters. 2. What is the shortest distance that can be measured from the origin to the line of action of the resultant of force vectors F and G? Express your answer in the unit of m.
Given are 4 points in space: (x,y,x) A(3,2,3) B(0,1,4) C(2,4,1) D(0,5,4) The line of action of force vector F passes from point A to point B and has a magnitude of 20kN. The line of action of force vector G passes from point C to point D and has a magnitude of 35 kN. 1. What is the resultant of the moment caused by force vectors F and G about the x-axis? Express your answer in the unit of kN-m. (x,y,z) units are in meters. 2. What is the resultant of the moment caused by force vectors F and G about the y-axis? Express your answer in unit of kN-m. (x,y,z) units are in meters. 3. What is the resultant of the moment caused by force vectors F and G about the z-axis? Express your answer in unit of kN-m. (x,y,z) units are in meters.
Determine the magnitude of the resultant of the system of concurrent forces having the following magnitudes and passing through the origin and the indicated points: P=520 lb (+8,-6,+5), T=270 lb (-3,-4, +10), F=280 lb (+5,-3,-6). a.) 273.272 lb b.) 476.065 lb c.) 466.966 lb d.) 720.675 lb e.) None of the above
concurrent force system in space is composed of 3 forces described as follows: P, has a magnitude of 100 kN and acts through the origin and point x-3, y=4, and z=2. P₂ has a magnitude of 60 kN and acts through the origin and point x=4, y=1, and z=-2. P, has a magnitude of 80 kN and acts through the origin and point x=2, y=-3 and 2-3. Give the magnitude of the resultant force. Compute for the magnitude and direction cosines of the resultant force.
PLEASE ANSWER IN COMPLETE AND CLEAR SOLUTIONS. INCLUDE NECESSARY FREE-BODY DIAGRAMS. The line of action of force F1 = 377 N is passing through point A(+2,+3,+1) towards B(+5,+5,+4), while that of force F2 = 466 N is through point C(+3,+1, –1) towards D(–2, –3, –4). Use a right-handed coordinate system. a. Determine the moment of force F1 about the origin.b. Determine the moment of force F2 about the origin.c. Determine the magnitude of the resultant moment of forces F1 and F2 about segment OE. Point O is the origin and point E is at (+5,+5,–3).
Given are 4 points in space: (x,y,z)A (3,2,3) B (0,1,4) C(2,4,1) D(0,5,4)The line of action of force vector F passes from point A to point B and has a magnitude of 40 kN. The line of action of force vector G passes from point C to point D and has a magnitude of 50 kN.1. What is the magnitude of the resultant force of force vectors F and G? Express your answer in unit of kN. 2. What is the resultant of the moment caused by force vectors F and G about the origin? Express your answer in unit of kN-m 3.
A system of concurrent forces having the following magnitudes and passing through the origin and the indicated points: F1 = 320kN (5, -2, 7); F2 = 200kN (-3, 0, -4); F3 = 440kN (2, 1, -6). What is the angle between F1 and F3?
If several forces are acting at a point, their resultant will be inclined at an angle 'θ' with the horizontal such that____________ a. tanθ = √(ΣV + ΣH) b. tanθ = ΣH/ΣV c. tanθ = ΣH * ΣV d. tanθ = ΣV/ΣH