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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.
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What is nweton first equation of motion?
Newton's first equation of motion states that an object will remain at rest or in uniform motion in a straight line unless acted upon by an external force. In other words, an object will maintain its velocity unless a net external force is applied to change it.
Who has discovered equation of motion?
The equation of motion was originally discovered by Sir Isaac Newton in his laws of motion. These laws describe the relationship between the motion of an object and the forces acting on it.
Will equation of motion be valid for non uniform motion?
Newton's first law of motion states that momentum is a property of a mass system that is conserved as long as no net force is applied on it. If the question refers to Newton's second law of motion, the answer is yes.
What is the mass equation from the second law of motion?
F=ma or m=F/a
Which law is a summarized by the equation force mass x acceleration?
Newton's 2nd law of motion
How do you derive navier stokes equation in spherical coordinates?
To derive the Navier-Stokes equations in spherical coordinates, we start with the general form of the Navier-Stokes equations in Cartesian coordinates and apply the transformation rules for spherical coordinates ((r, \theta, \phi)). This involves expressing the velocity field, pressure, and viscous terms in terms of the spherical coordinate components. The continuity equation is also transformed accordingly to account for the divergence in spherical coordinates. Finally, we reorganize the resulting equations to isolate terms and ensure they reflect the physical properties of fluid motion in a spherical geometry.
What will be the motion of water in the tank when small hole is created at the bottom?
The motion of water will be spherical.
Equation of motion in natural coordinate?
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.
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 the difference between Lagrange's equation of motion and Euler-Lagrange's equation of motion?
Both are same..just the names are different.
What is nweton first equation of motion?
Newton's first equation of motion states that an object will remain at rest or in uniform motion in a straight line unless acted upon by an external force. In other words, an object will maintain its velocity unless a net external force is applied to change it.
Who has discovered equation of motion?
The equation of motion was originally discovered by Sir Isaac Newton in his laws of motion. These laws describe the relationship between the motion of an object and the forces acting on it.
How do you describe the motion of an object that is by an equation?
The motion of an object described by an equation will depend on the specific equation used. Common equations to describe motion include position, velocity, and acceleration functions. By analyzing these equations, you can determine how the object moves over time, its speed, and its direction of motion.
What equation connects force and motion?
The equation that connects force and motion is Newton's second law: F = ma, where F is the force applied to an object, m is its mass, and a is its acceleration. This equation quantifies how the force acting on an object influences its motion.
What is the equation to determine an object in motion?
The equation to determine an object in motion is the equation of motion, which is typically represented as: ( s = ut + \frac{1}{2}at^2 ), where ( s ) is the displacement of the object, ( u ) is the initial velocity, ( a ) is the acceleration, and ( t ) is the time.
