For the 2d coordinate system below, complete the following: a) Break up the force vector into Fx and Fy components; show these components on the figure. Add a superscript to each component to indicate whether they are acting in the positive (+) or negative (-) direction b) Draw a position vector from the origin (0) to the tail (point a) of the force vector c) Break up the position vector into rx and ry components; show these components on the figure Add a superscript to each component to indicate whether they are acting in the positive (+) or negative (-) direction d) Calculate the "moment" of force F about the origin by multiplying F times its perpendicular distance from the origin (ry), and add the product of Fy times its perpendicular distance from the origin (rx). Assume that a counterclockwise rotation about the origin is a "positive" moment. Think of rx as a string connected to the origin. If you pull the string in the direction of d, will that cause a clockwise (-) or counterclockwise (+) moment? Use this to attribute the correct sign to each of the two terms that make up the moment about the origin. y O X

For the 2d coordinate system below, complete the following: a) Break up the force vector into Fx and Fy components; show these components on the figure. Add a superscript to each component to indicate whether they are acting in the positive (+) or negative (-) direction b) Draw a position vector from the origin (0) to the tail (point a) of the force vector c) Break up the position vector into rx and ry components; show these components on the figure Add a superscript to each component to indicate whether they are acting in the positive (+) or negative (-) direction d) Calculate the "moment" of force F about the origin by multiplying F times its perpendicular distance from the origin (ry), and add the product of Fy times its perpendicular distance from the origin (rx). Assume that a counterclockwise rotation about the origin is a "positive" moment. Think of rx as a string connected to the origin. If you pull the string in the direction of d, will that cause a clockwise (-) or counterclockwise (+) moment? Use this to attribute the correct sign to each of the two terms that make up the moment about the origin. y O X

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: b) Determine the transformation matrix of all elements.

Q: Draw the Shear and Moment Diagrams ラド |5- W=3K/FT. D B う 201 in

A: for equilibrium sum of forces in y axis is equal to zero, RA+RC-5-15-3×20=0RA+RC=80 k For…

Q: In the figure, one end of a uniform beam of weight 270Nis hinged to a wall; the other end is…

Q: Question 1 The structure at right is (select one): a. Unstable and Partially Constrained b. Unstable…

Q: Resolve the Force F1 into components acting along the u and v axes and determine the magnitudes of…

Q: e) Determine the y-coordinate of the centroid.

Q: ep in digital format plea

Q: d) Assemble the system stiffness matrix (movable DOFs only)

A: Find: System stiffness matrix (movable DOF only)

Q: F 4 m 2 m 1.5 m 2.5 m 2 m 1 m 0.5 m B The assembly above consists of straight members forming a…

A: Given that: Unit vectors for members AC and AD: uAC=0.707i-0.707j…

Q: 1A)The cross product of vectors P and Q results in a _____ quantity. Group of answer choices vector…

A: Answer given below

Q: Determine the centroid ( x and y [this is x bar and y bar] ). If the centroid is at the line of…

A: The given figure is shown below:

Concept explainers

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

For the 2D coordinate system below, complete the following:

a) Break up the force vector into \( F_x \) and \( F_y \) components; show these components on the figure.
- Add a superscript to each component to indicate whether they are acting in the positive (+) or negative (-) direction.

b) Draw a position vector \( \vec{r} \) from the origin (O) to the tail (point a) of the force vector.

c) Break up the position vector into \( r_x \) and \( r_y \) components; show these components on the figure.
- Add a superscript to each component to indicate whether they are acting in the positive (+) or negative (-) direction.

d) Calculate the “moment” of force \( \vec{F} \) about the origin by multiplying \( F_x \) times its perpendicular distance from the origin (\( r_y \)), and add the product of \( F_y \) times its perpendicular distance from the origin (\( r_x \)).
- Assume that a counterclockwise rotation about the origin is a “positive” moment. Think of \( r_x \) as a string connected to the origin. If you pull the string in the direction of a, will that cause a clockwise (-) or counterclockwise (+) moment? Use this to attribute the correct sign to each of the two terms that make up the moment about the origin.

**Diagram Explanation:**

The diagram shows a coordinate system with \( x \)- and \( y \)- axes. There is a point \( a \) in the first quadrant, and a force vector \( \vec{F} \) is directed from \( a \). The origin is labeled as \( O \). The position vector \( \vec{r} \) should be drawn from \( O \) to \( a \). Components \( F_x \), \( F_y \), \( r_x \), and \( r_y \) should be identified, showing their respective directions.

Expert Solution

Step 1

In order to obtain the components of a vector. Two dotted lines are projected as shown and the components are then drawn upto these projections.

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

In analyzing or designing trusses, it is necessary to determine the force in each member of the truss. One way to do this is the method of joints. The method of joints is based on the fact that if the entire truss is in equilibrium, each joint in the truss must also be in equilibrium (i.e., the free-body diagram of each joint must be balanced). Consider the truss shown in the diagram. The applied forces are P = 630 N and P = 350 N and the distance is d = 2.25 m. (Figure 1) igure 1 of 1 В 30° 30° C d P2
3m +r = 3j + n is an equation to determine the stabily & determinacy for? 2D truss Frame Structure
A beam ABCDE is shown below: B E The ratio of kinematic indeterminacy of the beam if considering all members axially in extensible to considering all members axially extensible is
locate the centroid of the beam section shown
Example: Resolve the horizontal 600 N force in shown into and components acting along the u and v axes determine the magnitudes of these components. F 30° 130 600 lb
SOLVE STEP BY STEP IN DIGITAL FORMAT Determine by the method of nodes the forces at which all the members of the following truss work. A B 15 kN 4 m 3, 10 kN 2 m 4 m
A wooden bar beam arrangement is shown in the figure. The beam is formed by nailing wooden bar and each nail has a shearing strength of 250 N and the beam is designed for a shear force of 3.2 kN. Find the spacing between the nails for this arrangement. 360 mm 20 mm 200 mm 20 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". 10 lb 20 lb 14" 10" x. 2" 6" 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 0. Find the force part of the force-couple system. Answer: F = i + j+ k) lb
Three chains act on the bracket such that they create a resultant force having a magnitude of 500 lb. If two of the chains are subjected to known forces, as shown, determine the angle of the third chain measured clockwise from the positive x axis, so that the magnitude of force F in this chain is a minimum. All forces lie in the x–y plane. What is the magnitude of F? Hint: First find the resultant of the two known forces. Force F acts in this direction. show the formula and the exact solution.
HAND WRITTEN SOLUTION PLEASE!!! STRUCTURAL THEORY
Find the derivative of the equation 2x-xy-3x+2y=0
Calculate the forces in all members using equilibrium of joint, ALso check weather the member is in tension or in compression. only HANDWRITTEN answer needed ( NOT TYPED)