The rope CE exerts an 800 N force T on the hinged door as shown.1) Determine the unit vector of CE;2) Express T in terms of Cartesian components;3) Determine the unit vector of AB; 4) Determine the moment of T about the point B on the line AB;5) Calculate the moment of T about the line AB.6) Calculate the moment of T about the line AC. 7) Calculate the moment of T about the line AE. This image is a 3D diagram showing a rectangular plate positioned in a coordinate system with axes labeled \( x \), \( y \), and \( z \). The plate has a force applied at point \( T \).Key elements in the diagram:- **Coordinates of Points:** - Point \( A \) is located at \( (0.5, 0, 0) \) meters on the \( x \)-axis. - Point \( B \) is located at \( (0.35, 0, 0.2) \) meters. - Point \( C \) is positioned at \( (0, 0.2, 0) \) meters along the \( y \)-axis. - Point \( E \), where the force vector originates, is at \( (0.2, 0.4, -0.1) \) meters. - **Vectors and Forces:** - A force vector \( \mathbf{T} \) extends from point \( C \) to the origin point \( E \). - The force vector \( \mathbf{T} \) is represented with a yellow and blue braided appearance.- **Geometric Relationships:** - The plate is anchored at point \( C \) with the vector \( \mathbf{T} \) depicting tension or force applied in its direction. - The plane or board is inclined in a perspective manner, showing depth in its three-dimensional setup.This diagram is likely used in a mechanical or structural analysis context to demonstrate how forces are applied to a surface or object within a particular spatial dimension, characterized by the given coordinates.

The rope CE exerts an 800 N force T on the hinged door as shown. 1) Determine the unit vector of CE; 2) Express T in terms of Cartesian components; 3) Determine the unit vector of AB; 4) Determine the moment of T about the point B on the line AB; 5) Calculate the moment of T about the line AB. 6) Calculate the moment of T about the line AC. 7) Calculate the moment of T about the line AE.

The rope CE exerts an 800 N force T on the hinged door as shown. 1) Determine the unit vector of CE; 2) Express T in terms of Cartesian components; 3) Determine the unit vector of AB; 4) Determine the moment of T about the point B on the line AB; 5) Calculate the moment of T about the line AB. 6) Calculate the moment of T about the line AC. 7) Calculate the moment of T about the line AE.

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: Problem 3: Determine the moment of the force F about the door hinge at A. Express the result as a…

Q: Problem 8 Figure 1 of 1 18 in. 30 5 in. > Part A Which of the following is the correct expression to…

Q: Determine the moment of force F about point O.Express the result as a Cartesian vector.

A: The direction of force F is calculated as, The r vector about point O and force is given by,

Q: The throttle-control lever OA rotates in the range 0 ≤ 0 ≤ 90°. An internal torsional return spring…

Q: 14. Determine the magnitude and direction of the moment produce by the vertical force shown

A: The magnitude of the moment is 400 N.m and the direction is +ve z axis, i.e., out of the page.…

Q: Forces are called concurrent when all of them acting on body lie in

A: Answer: (a) one point

Q: 1. The frame shown is supported by pins at points A and B. A 360 N force is applied on the rope that…

A: Consider the support reaction ∑Fx=0⇒HA+HB=0∑Fy=0⇒VA+VB=360∑MA=0⇒-HB×1.8-360×2.6HB=-520 N, HA=520…

Q: HREE Resultants of Coplanar F Section 3.3 Moment of a F 5.29 The four forces shown have paral AB is…

Q: For the beams and loading shown below. a) Draw the shear and moment diagrams b) Determine the…

Q: B α P A 22 in. -8 in. Fig. P3.6, P3.7, and P3.8

A: As per bartleby guidelines. We have to solve 1st question in case of multiple question. Please…

Q: M = R(8+2/4), and plot tension nake the net moment about O zero. The effects of the radius of the…

Q: For the beams and loading shown below. a) Draw the shear and moment diagrams b) Determine the…

A: "Since you have posted a multiple questions, we will solve fist for you. To get the remaining…

Question

The rope CE exerts an 800 N force T on the hinged door as shown.
1) Determine the unit vector of CE;
2) Express T in terms of Cartesian components;
3) Determine the unit vector of AB;
4) Determine the moment of T about the point B on the line AB;
5) Calculate the moment of T about the line AB.
6) Calculate the moment of T about the line AC.
7) Calculate the moment of T about the line AE.

This image is a 3D diagram showing a rectangular plate positioned in a coordinate system with axes labeled \( x \), \( y \), and \( z \). The plate has a force applied at point \( T \).

Key elements in the diagram:

- **Coordinates of Points:**
- Point \( A \) is located at \( (0.5, 0, 0) \) meters on the \( x \)-axis.
- Point \( B \) is located at \( (0.35, 0, 0.2) \) meters.
- Point \( C \) is positioned at \( (0, 0.2, 0) \) meters along the \( y \)-axis.
- Point \( E \), where the force vector originates, is at \( (0.2, 0.4, -0.1) \) meters.

- **Vectors and Forces:**
- A force vector \( \mathbf{T} \) extends from point \( C \) to the origin point \( E \).
- The force vector \( \mathbf{T} \) is represented with a yellow and blue braided appearance.

- **Geometric Relationships:**
- The plate is anchored at point \( C \) with the vector \( \mathbf{T} \) depicting tension or force applied in its direction.
- The plane or board is inclined in a perspective manner, showing depth in its three-dimensional setup.

This diagram is likely used in a mechanical or structural analysis context to demonstrate how forces are applied to a surface or object within a particular spatial dimension, characterized by the given coordinates.

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1 Given

Step 2

Step 3

Step 4

Step 5

Step 6

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Q.1) Two axial forces P₁ and P2 are applied at point A of a gear system as show below. Determine (a) Magnitude of the resultant force at point A due to these two forces using the Parallelogram method. (b) the x and y components of the resultant force, and the angle between the resultant force and the x-axis. (c) the n and t components of the resultant force. P2 = 300 N 20° y -A P₁ = 100 N 30° X
Compute the resultant moment about point A. Specify its direction as either clockwise or counterclockwise. F2 = 300 N F = 250 N 30 60° 2 m 3 m 4 m F3 = 500 N
The throttle-control lever OA rotates in the range 0 ≤ 0 ≤ 90°. An internal torsional return spring exerts a restoring moment about O given by M = K(0+1/4), where K = 300 N-mm/rad and 9 is in radians. Determine and plot as a function of the tension T required to make the net moment about O zero. The effects of the radius of the pulley at B are negligible. After you have completed the plot. answer the questions. Assume r = 50 mm, d = 100 mm. 45 d Answers: If 0 = 26%, the tension T = N If 0 = 48%, the tension T = N If 0 = 80%, the tension T = N i i i
1 ft 3 ft B 3 ft 3 ft (-9002 + 800f + 1000k) Ib.ft 6 ft 3 ft E (-300î – 400ĵ + 100k) Ibs The applied force at point E and the applied couple moment at point D are shown in the figure. Complete/calculate the following: (Where applicable, express the results as the (x, y, z) components of a Cartesian vector) 1. Draw the free-body diagram (FBD), showing the appropriate reaction forces and/or moments at the supports. (You must show the reactions in their component form i.e. show RAx, MRAX etc. on the FBD). Note: The support at point A is not able to resist a moment about the 'X' axis but is able to resist a force in this direction. 2. The unit vector ÅBc 3. The position vector Tɛ/a 4. The position vector īB/a