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What is a differential equation that describe a motion of a body?
Wiki User
∙ 14y ago
The answer depends on how the body is moving:
- in 2-dimensional space or 3-d,
- in a straight line or not
- at a constant velocity of not
- at a constant acceleration or not.
For example, the equation for a body moving in simple harmonic motion is
d2y/dx2 = -w2*x
Wiki User
∙ 6y ago
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Application of differential equation in temperature?
Newton's equation of cooling is a differential equation. If K is the temperature of a body at time t, then dK/dt = -r*(K - Kamb) where Kamb is the temperature of the surrounding, and r is a positive constant.
What can you say about nature of motion of a body if it's displacement time graph is a curve?
the body is in accelerated motion.
What is Rotional Motion?
Rotational motion is rotation of a body about its center of mass.
Were Aristotle's predictions of heavenly motion quantitative or qualiative?
I. Aristotle's Theory of Motion • Two basic principles: I. No motion without a mover in contact with moving body. II. Distinction between: (a) Natural motion: mover is internal to moving body (b) Forced motion: mover is external to moving body
What is meant by the amplitude of a body performing simple harmonic motion?
The absolute value of the distance "crest to trough" perpendicular to the direction of propagation of the motion.
Why you use partial differential equation?
PDEs are used in simulation of real life models like heat flow equation is used for the analysis of temperature distribution in a body, the wave equation for the motion of a waveforms, the flow equation for the fluid flow and Laplace’s equation for an electrostatic potential.
Application of differential equation in temperature?
Newton's equation of cooling is a differential equation. If K is the temperature of a body at time t, then dK/dt = -r*(K - Kamb) where Kamb is the temperature of the surrounding, and r is a positive constant.
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.
What is the term used to describe a body's resistance to a change in motion?
Inertia is the term used to describe a body's resistance to a change in motion. It is a property of matter that causes an object to remain in its current state of motion unless acted upon by an external force.
What is the euler's equation of motion?
Euler's equation of motion relates the net torque acting on a rigid body to its angular acceleration and moment of inertia. It is expressed as: Στ = Iα, where Στ is the net torque acting on the body, I is the moment of inertia, and α is the angular acceleration.
Which of following is the term used to describe a body's resistance to a change in motion?
Inertia is the term used to describe a body's resistance to a change in motion. The greater the mass of an object, the greater its inertia.
Newton's laws of motion are deterministic.?
Yes, Newton's laws of motion describe the relationship between a body and the forces acting on it, providing a deterministic way to predict its motion based on initial conditions. This means that if the forces on a body are known, its future motion can be predicted precisely.
How do you describe inertia?
Inertia is the tendency of an object to resist changes in its state of motion. An object at rest will stay at rest, and an object in motion will stay in motion, unless acted upon by an external force. This principle is described by Newton's First Law of Motion.
Which of the following is the term used to describe a bodys resistance to a change in motion a inertia b acceleration c gravity d mass?
The term used to describe a body's resistance to a change in motion is inertia.
The term used to describe the motion of a planet?
A better approach is to try to make more general the characteristic of a body to resist change in motion. The characteristic is called inertia. kinematics
What term used to describe a body's resistance to a change in motion?
Inertia. The larger the mass of the body the larger its inertia, in other words a heavy object would require a large driving force to make it initially move and a large force as well to make it stop moving or change direction.
Three ways to describe motion?
1. Translatory motion:Translatory motion is that in which all the particles of a body move through the same distance in the same time.When a body moves along a straight line, it is called Rectilinear motion.When a body moves along a curved line, it is called Curvinlinear motion.2. Rotatory motion:Rotatory motion is that in which a body moves about a fixed axis without changing its position.3. Oscillatory motion:Oscillatory motion is that in which a body moves to and fro about its mean position.4. Periodic motion:Periodic motion is that which repeats itself after regular intervals of time.5. Repetitive motion:Repetiive motion is that which occurs again and again.
