The door is partially open, making an angle of 20° with y-axis, as shown below. Total length of door is 52 inches. Distance from O to A is 34 inches (this distance is not parallel to y-axis) a) Express force F (magnitude F = 150 lb), from A to B, as a Cartesian vector. b) Find the magnitude of the moment of force F about the line from O to D. Express this moment as a Cartesian vector.

The door is partially open, making an angle of 20° with y-axis, as shown below. Total length of door is 52 inches. Distance from O to A is 34 inches (this distance is not parallel to y-axis) a) Express force F (magnitude F = 150 lb), from A to B, as a Cartesian vector. b) Find the magnitude of the moment of force F about the line from O to D. Express this moment as a Cartesian vector.

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

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter1: Introduction To Statics

Section: Chapter Questions

Problem 1.74P: It can be show that a plane area may he represented by a vector A=A, where A is the area and ...

See similar textbooks

Similar questions

The force R is the resultant of P and 0. Determine Q and the angle .
Find a unit vector that is perpendicular to both A=4i-3j-2km and B=2i4j+3km.
Find the internal force systems acting on sections 1 and 2.
Determine the moment of the force F=9i+18jlb about point O by the following methods: (a) vector method using rF; (b) scalar method using rectangular components of F; and (c) scalar method using components of F that are parallel and perpendicular to the line OA.
It can be show that a plane area may he represented by a vector A=A, where A is the area and represents a unit vector normal to the piano: of the area. Show that the area vector of the parallelogram formed by the vectors a and b shown in the figure is A=ab.
The magnitude of the force F is 55 lb. Calculate the moment of F about the x-axis using (a) the scalar method; and (b) the vector method.
Determine the value of the scalar a if the following three vectors are to lie in the same plane: A=2i-j+2km,B=6i+3j+akm, and C=16i+46j+7km.
From a single point, five sets of horizontal wires are radiating , viz , the first due north , the 2nd 75o northwest , the third 75 southwest and the fourth 30 southeast . The tension at these 4 sets of wires is 100 N, 60N, 80 N and 120 N, respectively. Find the direction of the fifth wire, its tension and position. Use Varignon’s theorem to find the moment that the force shown in Fig. exerts about point,B.
Find the resultant of two forces equal to 50N and 30 N acting at an angle of60°
Find the resultant of two forces: A= 150N, acting 30 degrees to left of the y-axis, and B=100N, acting 40 degrees below the x-axis. * Your answer
1.) F is a 400-lb force directed from A(2, 1, -4) ft to B(4, 4, 1) ft. (A) Find the moment of F about the origin and the magnitude of this moment; (B) Find the moment of F about point C(3, 4, 2) ft and its moment arm from C.
A bent bar ABC has a force F = 80 lb applied at end A and directed toward point D in the xy plane. • Determine the moment of the force about point B (magnitude). • Determine the moment about a line through points B and C (scalar amount).