The 6.4-kN force F is applied at point A. (a) Compute the moment of F about point O, expressing it both as a scalar (positive if CCW, negative if CW) and as a vector quantity. (b) Determine the coordinates of the points on the x- and y-axes about which the moment of F is zero. Assume XA = 0.8 m, yд = 1.2 m, a = 7, b = 11. y, m I 1 A (x, y) F b a -x, m

The 6.4-kN force F is applied at point A. (a) Compute the moment of F about point O, expressing it both as a scalar (positive if CCW, negative if CW) and as a vector quantity. (b) Determine the coordinates of the points on the x- and y-axes about which the moment of F is zero. Assume XA = 0.8 m, yд = 1.2 m, a = 7, b = 11. y, m I 1 A (x, y) F b a -x, m

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 2.46P: The force F=2i12j+5klb acts along the line AB. Recognizing that the moment of F about point B is...

See similar textbooks

Similar questions

Determine the moment of the force F about point A in terms of F and d. Use (a) the scalar method; and (b) the vector method.
The wrench is used to tighten a nut on the wheel. Determine the moment of the 120-lb force about the origin O. Express your answer in vector form.
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.
The moment of the force F=50i100j70klb about point O is MO=400i+410j300klbft. Determine the coordinates of the point where the line of action of F intersects the xz-plane.
The force F=2i12j+5klb acts along the line AB. Recognizing that the moment of F about point B is zero, determine the x- and z-coordinates of point B.
The 2.8-KN force F is applied at point A. (0) Compute the moment of F about point O, expressing it both as a scalar (positive if CCW, negative if CW) and as a vector quantity. (b) Determine the coordinates of the points on the x- and y-axes about which the moment of F is zero. Assume X4 = 1.5 m, YA = 2.1 m, a = 8, b = 14. y, m A(x, y) F -x, m Answers: Scalar: Vector: On the x axis: On the y axis: Mo= i Mo=( 1 X = y= i 3 KN-m m i+i j+ k) kN-m
A force F = 7.45 kN directs from point E (0, 3, 6) to point A (0, 0, 8) and rotates about the DK-axis, where point D (2.5, 6, 4) and point K (2.5, 0, 0). All distances are in meters. Determine the moment produced in kNm.
Determine the Resultant and the moment about point O (represented by a red dot) of the given coplanar force system. F1 is inclined at 45 deg. With respect to x-axis; F2 is inclined at 20 deg. With respect to x-axis; F1 and F2 are concurrent at point O; F3 and F4 are parallel; F3 acts 3 mm away from 0; F4 acts at 7 mm away from 0. F1 = 30N F2 = 50N F3 = 20N F4 = 10N
Time A force F= 120 i + 240 j + 0 k (N) is applied at a point A in the x-y plane with XA 2.3 m. yA 2.6 m and ZA = 0.0 m Determine the moment (Ma) about B of the force F exerted on the point A (ie. find the components in the i. j and k direction of the moment of F about B). The coordinates of B are: X8 = 1 m, yB = 1.7 m and zg = 1.2 m All unit provided are Sl unites. Hint use the cross product YA Ye B. 20 Ma in the x (i) direction (N-m) = Ma in the y ) direction (N-m)= Ma in the z (k) direction (N-m)
The moment of the force F=1440-lb about the point O in Cartesian vector form is. 1 ft> 4 ft 4ft Select one: a. Mo 2400, Y008 b. M 200, + 400A c Mo 200,- 400, d. Ma 200, 400A
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.
2/27 The 4-kN force F is applied at point A. Compute the moment of F about point O, expressing it both as a scalar and as a vector quantity. Determine the coor- dinates of the points on the x- and y-axes about which the moment of F is zero. Ans. Mo = 2.68 kN m CCW, Mo (х, у) 2.68k kN m %3D %3D (-1.3, 0) and (0, 0.78) m у, т А (1.2, 1.5) 3 F = 4 kN 10 x, m