Q. 2) Given the following system of forces acting on the solid as shown, (a) Determine the equivalent force system consisting of a resultant force and a moment (couple moment) acting at point A. (b) Find the simplest resultant force system (a single force) equivalent to the original system. Specify the resultant force in Cartesian vector notation and the location where it's line of action intersects the x- and y- axes. Sketch the line of action of the simplest resultant showing its x- and y-intercepts. 120 N 15° 200 N y 520 mm E F 50 mm 42 Nom 50 mm ΤΑ 240 mm D 70⁰ 40 N-m 640 mm C FR = 252.21-244.6ĵ N MA-93.43k N-m x = 382 mm ỹ = 370 mm 80 N 100 N 180 mm B 50 mm

Q. 2) Given the following system of forces acting on the solid as shown, (a) Determine the equivalent force system consisting of a resultant force and a moment (couple moment) acting at point A. (b) Find the simplest resultant force system (a single force) equivalent to the original system. Specify the resultant force in Cartesian vector notation and the location where it's line of action intersects the x- and y- axes. Sketch the line of action of the simplest resultant showing its x- and y-intercepts. 120 N 15° 200 N y 520 mm E F 50 mm 42 Nom 50 mm ΤΑ 240 mm D 70⁰ 40 N-m 640 mm C FR = 252.21-244.6ĵ N MA-93.43k N-m x = 382 mm ỹ = 370 mm 80 N 100 N 180 mm B 50 mm

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 2.27P: Determine the moment of the force F=9i+18jlb about point O by the following methods: (a) vector...

See similar textbooks

Similar questions

The tensions in the cables supporting the pole are T1=T2=T3=60kN. Replace the cable tensions with an equivalent force-couple system with the force acting at O. Express your answer in vector form.
Q4b. Force vectors F1 and F2 act on body Pwith the resultant force vector R. The resultant force R= 575 N and the angle between Rand the x-axis is of 320. If F1 = 275 N and the angle between F1 and the x-axis is 560, determine the angle between F2 and the x-axis. *Assume coplanar vector forces and give your answer in degrees to two decimal places. Body, P Answer: y F1 R F2
1. find the force at point G if the resultant forces passed through a 50 kN 40 kN -2 m -2 m -21 point F 2. find the equvelint force at point F 1.5m 3. find the resultant moment at point F F -30 kN 1.5 m 40 kN 1.5 m
2. (a) Find the resultant of these three forces in vector form. (b) Find the magnitude of part (a) F₁ = 30 kip Z 50° 30° 36° 33° 26° F3 = 20 kip F₂= 35 kip X
Find the resultant force vector,R, of the three vectors A,B, and C (i.e., add the vectors), if the magnitude of vector A is 10N, the magnitude of vector B is 17N, and the magnitude of vector C is 9N. Your answer should be in the form R = Rx i+ Ry j, where you determine Rx and Ry, and where i, and j are the unit vectors along the x, and y axis, respectively. YA В A 60° 45°
(a) Determine the resultant of the system of parallel forces which act on the folded plate, i.e., replace the three given forces by a resultant force R and moment M about point O. (b) Find the location (i.e., coordinates) where single R will have the same effect as R and M together at O. Solve using the vector approach. B 250 N 300 N 240 mm 120 mm -160 mm 200 mm 200 mm 400 N
QUESTION 3 In the plane forces system, F, = 6 kN, F2 = 4 kN and F3 = 5 kN. The direction of the force F3 is tan a = 4/3, the moment arm of the force couple is d, = 2 m and the action points of the forces are A2(-2,5), A3(-4, -4). Find the resultant force R as a vector (kN) and calculate the line of action. SOLUTION A: F Fi F As
B1.5 m 1.5 m P= 0.8 kN T-1.2 kN 3m 2 m 1.5 m 3 m Determine the x-, y-, and z- components of T. Determine the angles which the line of action of T forms with the positive x-, y-, and z-axes. Calculate the projection of P onto a line between A and F and determine the angle between P and AF. Determine the vector expression for the moment of P about point E.
Three forces are acting on a column and are concurrent at point A. • The magnitudes of the forces are F1 = 300 N, F2= 200N 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°. Fz B(-5,3,2)m 30° A
A coplanar force system is shown(1)Find the sum of the three forces(2) Reduce the force system to a force-and-couple resultant at O(3) Reduce the force system to a force-and-couple resultant at an arbitrary point A = (x, y)(4) Locate a point on the r-axis at which the force system can be reduced to a single force
Replace the three forces shown by an equivalent force-couple system at point A. If the forces are replaced by a single resultant force, determine the distance d below point A to its line of action. 130 N 450 mm 450 mm 450 mm 205 N Answers: Force-couple system at A. The force is positive if to the right, and the couple is positive if counterclockwise. R= i N M = i Single resultant force. d= i 160 N N•m mm
While cutting a piece of paper, a person exerts the two indicated forces on a paper cutter. Reduce the two forces to an equivalent force-couple system at corner O and then specify the coordinates of the point P in the x- y plane through which the resultant of the two forces passes. The cutting surface is 30" x 30". 5 lb 24 Ib 15" 1" 5" Part 1 There are 2 distinct questions here. We will solve the first question now. Question 1: Replace the two forces shown by an equivalent force-couple system at point O. Find the force part of the force-couple system. Answer: F = i + j+ k) Ib