Position Loop Equation (Kinematics)

In summary, the conversation discusses the position loop equation for a solar panel deployment system attached to a satellite body. The equations for the x and y coordinates in a rectangular coordinate system are being sought, but the y loop equation is not achievable. The possibility of using different coordinate systems is also mentioned. Two files are attached, one being a drawing of the system and the other being a reference document for similar mechanisms.
  • #1
kashoo
41
0
What will be the position loop equation of the attached file. The system is of Solar Panel Deployment attached to Satellite Body .
The lengths are
AB = Yoke = a
BC=CD=DE = Solar Panles = b

I have been trying to fine position loop equations (i.e x & y ) in rectangular coordinate system but y loop equation is not achievable.
Should I try something in Loacal /Global/ Natural coordinate system.

Two files are attached ...one is of my system's drawing
Other one is a reference document of analysis of this kind of mechanism which is at

http://iris.sid.inpe.br:1916/col/sid.inpe.br/marciana/2004/12.23.11.00/doc/Brasilian ijar.pdf
 

Attachments

  • drawing.doc
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Last edited by a moderator:
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  • #2
No Reply :frown: :frown:
 
  • #3
:( :( :( :(
 

1. What is the position loop equation?

The position loop equation, also known as the kinematics equation, is a mathematical representation of the relationship between an object's position, velocity, and time. It is commonly used in physics and engineering to calculate the position of an object at a specific time, given its initial position, velocity, and acceleration.

2. How is the position loop equation derived?

The position loop equation is derived from the fundamental principles of kinematics, which describe the motion of objects without considering the forces that cause it. It is based on the formula x = x0 + v0t + ½at2, where x is the position, x0 is the initial position, v0 is the initial velocity, t is the time, and a is the acceleration.

3. What are the three variables in the position loop equation?

The three variables in the position loop equation are position, velocity, and time. These variables are related through the equation x = x0 + v0t + ½at2, where x is the final position, x0 is the initial position, v0 is the initial velocity, t is the time, and a is the acceleration.

4. How is the position loop equation used in real-world applications?

The position loop equation is used in a variety of real-world applications, such as predicting the trajectory of a projectile, calculating the position of a moving object in space, and designing motion control systems in engineering. It is also used in physics experiments to analyze the motion of objects and verify theoretical predictions.

5. Can the position loop equation be used for objects moving at a constant velocity?

Yes, the position loop equation can be used for objects moving at a constant velocity. In this case, the acceleration a is equal to zero, and the equation reduces to x = x0 + v0t, where x is the final position, x0 is the initial position, v0 is the initial velocity, and t is the time. This equation is known as the constant velocity equation.

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