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What are conditions of the equilibrium reinforce the answer with mathematical relitionship?
The conditions of the equilibrium come from the conservation of Energy. Mathematically this is the the condition where the first derivative of energy is zero.
This is described for example for gravity:
Energy W = -mGM/r + cmV = -mu/r + cP = -vh/r + cP
this is the gravitational energy. Note that I have added a vector energy to Newton's potential energy, because the mass m is moving with respect to the origin. cP is the particle momentum energy.
The Equilibrium Condition is the first derivative Force, set to zero.
Force F = [d/dr, DEL][-vh/r,cP] = [vh/r2 -cDEL.P, cdP/dr - DEL vh/r + cDELxP]
At Equilibrium this expression is zero both the scalar and the vector parts.
vh/r2 - cDEL.P =0 and
cdP/dr - DEL vh/r = 0
The equilibrium conditions require v/c=1 or v=c from , vp/r = cp/r.
so v2=GM/r = c2
What else can I help you with?
How can solving static problems help in understanding the principles of physics?
Solving static problems can help in understanding the principles of physics by providing practical applications of theoretical concepts. By working through static problems, students can apply physics principles to real-world scenarios, enhancing their understanding of how forces and objects interact in equilibrium. This hands-on approach can deepen comprehension and reinforce key concepts in physics.
When do two forces that are applied to an object reinforce each other?
Two forces applied to an object reinforce each other when they are in the same direction. This means their magnitudes add up to produce a stronger overall force acting on the object.
What do two forces that are applied to an object reinforce each other?
When two forces are applied to an object in the same direction, they reinforce each other, resulting in a stronger combined force. This can lead to increased acceleration or greater impact on the object.
What are two forces that reinforce each other?
Gravity and mass are two forces that reinforce each other. The larger an object's mass, the stronger the gravitational force it exerts. This creates a reinforcing relationship where increased mass leads to greater gravitational attraction.
What are two things about forces are important when forces are combined?
When forces are combined, one important concept is the principle of superposition, which states that the total force on an object is the vector sum of all individual forces acting on it. Another important aspect is understanding that forces can either reinforce each other (if acting in the same direction) or oppose each other (if acting in opposite directions) to determine the resulting motion or equilibrium of an object.
How do you teach variables in your classroom?
Variables are introduced as placeholders that can hold different values. I teach students how to declare variables, assign values to them, and use them in mathematical expressions or conditions. We practice using variables in various problem-solving scenarios to reinforce their understanding.
What are the four principles that apply to stability?
The four principles that apply to stability are equilibrium, feedback, resilience, and adaptability. Equilibrium refers to a state where opposing forces are balanced, while feedback involves the responses of a system to changes that can either reinforce or counteract those changes. Resilience is the ability of a system to recover from disturbances, and adaptability refers to the capacity to adjust to new conditions and challenges. Together, these principles help maintain stability in various systems, from ecological to social and economic contexts.
Plural word for reinforce?
The plural of reinforce is reinforces.
What is the sentence for reinforce?
The sandbags were used to reinforce the dike wall.
What are the example of verbal method in math?
Verbal methods in math often involve using words to describe mathematical concepts, problems, or solutions. Examples include explaining a mathematical process in a narrative form, using word problems to illustrate equations, and verbally outlining steps taken to solve a problem. Additionally, discussing mathematical reasoning and strategies in a classroom setting can also be considered a verbal method. These approaches help reinforce understanding and communication of mathematical ideas.
What is one sentence with the word reinforce?
you should reinforce that fence
Can you give me a sentence with the word reinforce in it?
she was not listening so i had to reinforce the rules
What are the differences between the words abate and reinforce?
Reinforce is the opposite of abate
What is the verb for reinforce?
The word reinforce is already a verb because it describes an action. "To reinforce something".Other verbs are reinforces, reinforcing and reinforced.Some example sentences are:"I will reinforce the doors"."He reinforces the windows in case the zombies try to break in"."We are reinforcing the defences"."We reinforced the rules".
what are the challenges of selling on credit in a small business?
You have to carefully plan, what are the conditions going to be and how are you going to reinforce customers actually paying you. Your accounting will also get a bit more complicated.
What is an interrogative sentence with the word reinforce?
must i reinforce to you the importance of telling the truth
When was Reinforce Love created?
Reinforce Love was created on 2007-12-10.
