Place the tail of the vector at the origin and see which quadrant the head of the vector resides. If the head resides in quad 2 and 3, then Fx would be negative, otherwise Fx is positive. In this case, if we slide the two inclined vectors so that their tails end up at the origin, their heads are going to be in quads 1 and 4, hence the x components of both forces are positive.
Use the first equation to express Fcd in terms of Fce,. That would give: Fcd = Fce. Then, substitute Fce for Fcd in the second equation, simplify the equation and solve it for Fce.
A particle is the point/place where the forces of interest intersect. So, once you identify the forces in play, draw their lines of action, the particle is at the intersection of those lines.
In a nutshell, in dynamics the fundamental equilibrium condition that we deal with is: The sum of the force vectors = (mass)(acceleration) In statics, we deal with problems in which acceleration is zero. So, the equilibrium condition is: The sum of the force vectors = 0
It depends on the angle that you are using. If you pick the angle between the force vector and the horizontal (x) axis, then you should use the cosine of the angle for calculating the x component of the force, and use sine for the y component of the force. On the other hand, if you pick the angle that the force makes with the y axis, then use sine for finding the x component of the force and use cosine for determining the y component of the force.
Yes, you should be able to see a small TH-cam generated (i) in the upper right corner of the video screen. Click on it for the links to the solutions for the exercise problems. We've added the links in the video description field as well, in case the small (i) icon does not show on your device.
The big problem with all the solutions showed this way, is that as a new beginner calculating this, you almost already need to know how everything works. Setting up a equation out of no understanding of example % of force applied at a point relative to the other is not easy when you dont know how to think. i get NO help from these videos what so ever, they tell me the exact same as everything else, setting up a equation (knowing already how it works, not how it works and not how to think.
At its core, engineering mechanics is applied physics, an essential prerequisite for all these lectures. If you are struggling with the concept of particle and particle equilibrium, then these refresher lectures are not going to be helpful; Your learning journey needs to have its beginning in introductory physics.
@@DrStructure just started mechanic statics at mechatronic study. i would think the university has concluded that us students should be ready to start mechanics at this point, i would also think that as i have only top grades in R2 mathematics. but i find this very difficult, adn the cause is that there is not intruduced a proper way of analysing it visualy whilst crunching the numbers, which i think is a very important step towards understanding and applying this. am i right?
@@gizmakedoinduct8152 Yes, being able to visualize concepts and make sense of them in one’s mind is essential for deep learning. Equally important is the realization that learning is a personal experience and cannot be formalized through lectures. Different people learn differently, and respond differently to a specific content/lecture. Ideally, you want to view learning as a rather messy interactive process in which you use the resources available to you to gradually build a functional mental model of the related concepts and learn how to apply them to solve problems. This process is not one-directional (from professor/lecture to student); it should be centered around a persistent interactive engagement between you and the professor having various dialogues with the aim of guiding you through the process. Although this online forum is no substitute for in-person interaction, you are more than welcome to pose specific questions geared toward addressing any ambiguity that you may have pertaining the topics covered in these lectures.
@@DrStructure i actually just this monday (yesterday) gained understanding of this analytic mechanic, by asking a friend of me to do a task, while explaining her thoughts on solving it + drawing the thoughts on the figure in the task step by step, was as easy as that.
Love it!
Upload video for rigid body equilibrium.
There are tons of vidoes for that on youtube
At 3:30, why dont the Fx components have a negative sign? , since in the 2nd and 3rd quadrant Fx is negative.
Place the tail of the vector at the origin and see which quadrant the head of the vector resides. If the head resides in quad 2 and 3, then Fx would be negative, otherwise Fx is positive. In this case, if we slide the two inclined vectors so that their tails end up at the origin, their heads are going to be in quads 1 and 4, hence the x components of both forces are positive.
How did you solve the equations at 8:40?
Use the first equation to express Fcd in terms of Fce,. That would give: Fcd = Fce. Then, substitute Fce for Fcd in the second equation, simplify the equation and solve it for Fce.
Is there a method to picking a particle for the analysis?
A particle is the point/place where the forces of interest intersect. So, once you identify the forces in play, draw their lines of action, the particle is at the intersection of those lines.
What is the difference between static and dynamic equilibrium?
In a nutshell, in dynamics the fundamental equilibrium condition that we deal with is:
The sum of the force vectors = (mass)(acceleration)
In statics, we deal with problems in which acceleration is zero. So, the equilibrium condition is:
The sum of the force vectors = 0
Why the arrows are pointing away from the particle?
When a force acting on the particle is unknown, we show/draw it that way. It generally signifies a tension force.
Thank you so much
How do you know if it is sine or cosine?
It depends on the angle that you are using. If you pick the angle between the force vector and the horizontal (x) axis, then you should use the cosine of the angle for calculating the x component of the force, and use sine for the y component of the force. On the other hand, if you pick the angle that the force makes with the y axis, then use sine for finding the x component of the force and use cosine for determining the y component of the force.
Excuse me, there are solutions?
Yes, you should be able to see a small TH-cam generated (i) in the upper right corner of the video screen. Click on it for the links to the solutions for the exercise problems. We've added the links in the video description field as well, in case the small (i) icon does not show on your device.
how to get Fcd and Fce?
The two equilibrium equations need to be solved simultaneously.
Can you upload solution to exercise problems?
They have been uploaded. Click on the circled i in the upper right corner of the video.
Thank you so much Dr. Structure
A) CA=0,329 kn; AB=5,095 kn.
The big problem with all the solutions showed this way, is that as a new beginner calculating this, you almost already need to know how everything works. Setting up a equation out of no understanding of example % of force applied at a point relative to the other is not easy when you dont know how to think. i get NO help from these videos what so ever, they tell me the exact same as everything else, setting up a equation (knowing already how it works, not how it works and not how to think.
At its core, engineering mechanics is applied physics, an essential prerequisite for all these lectures. If you are struggling with the concept of particle and particle equilibrium, then these refresher lectures are not going to be helpful; Your learning journey needs to have its beginning in introductory physics.
@@DrStructure just started mechanic statics at mechatronic study. i would think the university has concluded that us students should be ready to start mechanics at this point, i would also think that as i have only top grades in R2 mathematics. but i find this very difficult, adn the cause is that there is not intruduced a proper way of analysing it visualy whilst crunching the numbers, which i think is a very important step towards understanding and applying this. am i right?
@@gizmakedoinduct8152 Yes, being able to visualize concepts and make sense of them in one’s mind is essential for deep learning. Equally important is the realization that learning is a personal experience and cannot be formalized through lectures. Different people learn differently, and respond differently to a specific content/lecture. Ideally, you want to view learning as a rather messy interactive process in which you use the resources available to you to gradually build a functional mental model of the related concepts and learn how to apply them to solve problems. This process is not one-directional (from professor/lecture to student); it should be centered around a persistent interactive engagement between you and the professor having various dialogues with the aim of guiding you through the process. Although this online forum is no substitute for in-person interaction, you are more than welcome to pose specific questions geared toward addressing any ambiguity that you may have pertaining the topics covered in these lectures.
@@DrStructure i actually just this monday (yesterday) gained understanding of this analytic mechanic, by asking a friend of me to do a task, while explaining her thoughts on solving it + drawing the thoughts on the figure in the task step by step, was as easy as that.
Perfect!