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The equation of motion in natural coordinates is expressed using generalized coordinates that correspond to the physical configuration of a system, often simplifying the dynamics of motion. In this framework, the equation of motion can be derived from the Lagrangian or Hamiltonian formulations, focusing on the kinetic and potential energies of the system. The natural coordinates typically include parameters such as arc length, angles, or other relevant measures that directly relate to the system's physical behavior. This approach facilitates the analysis of motion by aligning the mathematical model with the system's intrinsic properties.
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How do you write an equation for the coordinate (3,1)?
The equation of coordinate is 3x+y=0.
An equation whose solutions form a straight line on a coordinate plane?
A linear equation.
Which equation represents the function where the y-coordinate is 18 times the x coordinate?
The equation that represents the function where the y-coordinate is 18 times the x-coordinate is ( y = 18x ). In this linear equation, for every unit increase in ( x ), the value of ( y ) increases by 18 times that amount. This signifies a direct proportionality between ( y ) and ( x ) with a slope of 18.
What is a sliding motion of a figure in a coordinate plane called?
a force
What is an equation of the line that is parallel to the y axis and passes through the coordinate 2 4?
An equation of a line that is parallel to the y-axis is a vertical line. For a vertical line that passes through the coordinate (2, 4), the equation is simply x = 2. This means that for any value of y, the x-coordinate remains constant at 2.
What is euler's equation of motion in spherical polar coordinate?
Euler's equation of motion in spherical polar coordinates describes the dynamics of a rigid body rotating about a fixed point. It includes terms for the inertial forces, Coriolis forces, and centrifugal forces acting on the body. The equation is a vector equation that relates the angular acceleration of the body to the external torques acting on it.
How can you determine if an ordered pair is a solution to an equation?
plug the x coordinate in the x part of the equation and plug the y coordinate in the y's part of the equation and solve
How do you write an equation for the coordinate (3,1)?
The equation of coordinate is 3x+y=0.
An equation whose solutions form a straight line on a coordinate plane?
A linear equation.
What is the y-coordinate of the vertex of a parabola with the following equation?
The y coordinate is given below:
Which equation represents the function where the y-coordinate is 18 times the x coordinate?
The equation that represents the function where the y-coordinate is 18 times the x-coordinate is ( y = 18x ). In this linear equation, for every unit increase in ( x ), the value of ( y ) increases by 18 times that amount. This signifies a direct proportionality between ( y ) and ( x ) with a slope of 18.
How would you make a equation out of coordinate Pairs?
no eye deer
Is the coordinate -2-4 a solution to the equation y3-2?
No
What is a sliding motion of a figure in a coordinate plane called?
a force
What do you mean by equations of motion?
means motion of equation
How does the equation of motion change for an object moving with uniform motion?
For an object moving with uniform motion, the equation of motion does not change. The equation remains the same as it describes the relationship between an object's position, velocity, and time regardless of whether the motion is uniform or non-uniform. Uniform motion implies constant velocity, so the acceleration term in the equation of motion is zero.
What is an equation of the line that is parallel to the y axis and passes through the coordinate 2 4?
An equation of a line that is parallel to the y-axis is a vertical line. For a vertical line that passes through the coordinate (2, 4), the equation is simply x = 2. This means that for any value of y, the x-coordinate remains constant at 2.
