Elementary Dynamics Problem (FBD Help)

In summary, the problem asks for the determination of pin forces on the vertical bar BDE at a given instant. The necessary information for a solution includes Newton's motion equations and the given solution for the kinematics part. The solution involves drawing a Free-Body Diagram with three pin forces, F1, F2 and F3, at points B, D and E respectively. The pin force at B is the sum of reaction forces at points C and D.
  • #1
baseballer10p
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Homework Statement


Obtain the pin-forces on the vertical bar BDE at the instant shown. Supply and document any additional information that my be necessary in order for this problem to have a tractable solution. (This is number 3 in the attached pdf file.)


Homework Equations


Newton's motion equations. [I'm just trying to draw the FBD(s).]


The Attempt at a Solution


FBD.jpg


These are old homework problems; our professor has already given us solutions to some of these (also attached) but he only gave the kinematics part, which I understand. I just need help drawing the rest of my FBD(s) for this problem. Help please?

Solution:
homework3soln.jpg

 

Attachments

  • number 3.pdf
    170.9 KB · Views: 180
  • FBD.jpg
    FBD.jpg
    13.4 KB · Views: 368
  • homework 3 soln.jpg
    homework 3 soln.jpg
    37.4 KB · Views: 420
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  • #2
The pin forces at the instant shown can be determined using the following Free-Body Diagram (FBD). Since there are three pins, there will be three pin forces. Note that the pin force at point B is the sum of the reaction forces at points C and D. In the FBD below, F1, F2 and F3 represent the pin forces at points B, D and E respectively. \begin{figure}[h!]\centering\includegraphics[scale=0.7]{fbd.jpg}\caption{Free-body diagram for problem 3}\end{figure}
 
  • #3
To solve this problem, we first need to gather the necessary information. The problem states that we need to obtain the pin-forces on the vertical bar BDE at a specific instant. In order for this problem to have a tractable solution, we need to know the mass of each object, the position and direction of each force acting on the system, and any other relevant information such as the angle of the bar BDE with respect to the ground.

Once we have all the necessary information, we can begin by drawing a free body diagram for each object involved in the problem. This will help us visualize the forces acting on each object and allow us to apply Newton's motion equations to solve for the unknown forces.

For the vertical bar BDE, we can draw a simple diagram with the bar represented as a straight line with point B at the bottom and point E at the top. We can then label the forces acting on the bar, such as the weight of the bar (mg) acting downwards at point E, and the pin-forces at points B and D.

To determine the pin-forces at points B and D, we can use the kinematics part of the problem to determine the acceleration of the bar. Once we have the acceleration, we can apply Newton's second law (F=ma) to solve for the unknown forces at points B and D.

In addition to the forces acting on the bar, we also need to consider the forces acting on any other objects involved in the problem, such as the pin at point D or any external forces acting on the system.

Overall, to solve this problem, we need to carefully consider all the forces acting on the system and apply Newton's motion equations to determine the pin-forces at points B and D on the vertical bar BDE.
 

1. What is a free body diagram (FBD)?

A free body diagram is a visual representation of all the forces acting on an object. It is used to analyze the motion and equilibrium of an object in a given situation.

2. Why is it important to draw a FBD?

Drawing a free body diagram is important because it helps to identify and understand all the forces acting on an object. This allows for a more accurate analysis of the object's motion and the ability to solve complex dynamics problems.

3. How do you draw a FBD?

To draw a free body diagram, start by identifying the object of interest and drawing it as a dot or a box. Then, draw and label all the forces acting on the object, including gravitational force, normal force, friction, and any other relevant forces. Finally, draw arrows to represent the direction and magnitude of each force.

4. What are the key principles of dynamics that can be applied to FBDs?

The key principles of dynamics that can be applied to FBDs include Newton's laws of motion, which state that an object will remain at rest or in motion with a constant velocity unless acted upon by an external force. Additionally, the principles of equilibrium, such as the sum of all forces equaling zero, can also be applied to FBDs.

5. How can FBDs be used to solve dynamics problems?

FBDs can be used to solve dynamics problems by breaking down the forces acting on an object and applying the principles of dynamics to analyze its motion. By accurately representing and understanding all the forces acting on an object, FBDs can help scientists and engineers determine the best course of action for a given situation.

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