## Kinematics Particle kinematics . The location of a

Kinematics

Kinematics is the branch of physics that studies motion or the

movement of systems of bodies without considering or analysing forces and the

causes of the motion. Kinematics is often known as the “geometry of

motion” and is often seen as a branch of mathematics and sometime as the

branch of mechanics. Using contretemps from geometry, the velocity, acceleration

and speed of any section of the system that are unknown for us can be firmly

determined by not changing it. Kinetics is the study of how bodies fall within it.

Kinematics

is used in astrophysics which is the branch of astronomy that is

concerned with the celestial bodies. In biomechanics kinematics, mechanical

engineering, and robotics describes the motion of systems made of linked

components (multi-link systems) such as the human skeleton, an engine or

the robotic arm.

Geometric

transformations, are also called rigid transformation (a transformation

that doesn’t change its shape or its size), which are used for describing, in

a mechanical system, the movement of components, making it to obtain something

from a source of the equations of motion making it simpler or easier to

understand. Furthermore, they are central to dynamic analysis too.

Kinematic

analysis process the measuring of the kinematic quantities that is

used to describe motion. In engineering, for example, kinematic analysis can be

used finding the range of movement for a specified mechanism, and working

in the opposite way, using kinematic synthesis to design a mechanism

for a wanted range of motion. Furthermore, kinematics applies algebraic

geometry to the study of the mechanical advantage of a mechanism

or mechanical system.

Kinematics of a particle trajectory in a non-rotating frame of

reference

Mass is also expressed m, position

is also expressed r, velocity is also expressed v,

acceleration is also expressed a are classical particles of kinematic quantities.

The

study of the trajectory of a piece of matter is called Particle kinematics .

The location of a piece is determined as the coordinate vector from the place

where the coordinate frame begins, to the particle. For instance, imagine a

building that is 60 m South from your own house, which at your house is found

the coordinate frame, in a such way East is the x-direction and North is the

y-direction, then the coordinate vector to the base of the building is r =

(0, ?50, 0). If the building is 60 m high, then the coordinate vector to

the top of the palace is r = (0, ?60, 60).

Often,

a three-dimensional coordinate system is used to determine the location of a molecule.

Anyways, if the molecule is compelled to move in a place, a two-dimensional

coordinate system is enough. All examinations in physics are not completed

without those examinations being reported with respect to a reference frame.

The

location of a vector of a molecule is a vector drawn from the place where it

begins of the reference frame to the molecule. It shows both, the distance of

the location from the origin and its way from the from the beginning place.

The direction cosines (any of the cosines of

the three corners between a controlled line in an area) of the location of

the vector make available for use a quantitative measure of way. It is

important to see that the location of the vector of a particle isn’t special.

The position vector of a given molecule is unlikely relative to unlikely frames

of reference.

Velocity and speed

The velocity of

a molecule is a vector quantity that reports the way of the motion and the

magnitude of the motion of molecule. More mathematically, the rate of transformation

of the position vector of a point, with respect to time is the velocity of the

point. Think the ratio of the contrast of two positions of a molecule splitted by

the time interval, which is the average velocity over that time interval.

Velocity

is the time rate of alteration of the location of a point, and the dot indicates

the derivative of those functions x, y, and z with respect to time. Also, the

velocity is tangent to the trajectory of the molecule at every position the

particle settles along its path. See that in a non-rotating frame of reference,

the derivatives of the coordinate ways aren’t examined as their locations and

magnitudes are constants.

The

speed of a thing is the magnitude |V| of its velocity.

Acceleration

The

velocity vector can alter in direction and in magnitude or both at the same

tome. Thus, the acceleration is the rate of alteration of the magnitude of the

velocity vector plus the rate of alteration of way of that vector. The same

reasoning used with respect to the location of a molecule to determine

velocity, can be applied to the velocity to determine acceleration. The acceleration of

a molecule is the vector determined by the rate of alteration of the velocity

vector. The average acceleration of a molecule over a time interval is determined

as the ratio.

Uniform Motion and Non-Uniform Motion

Uniform Motion and Non-Uniform Motion

Uniform Motion and Non-Uniform Motion

Uniform Motion and Non-Uniform Motion

Uniform Motion and Non-Uniform Motion

Uniform Motion and Non-Uniform Motion

Uniform Motion and Non-Uniform Motion

Uniform Motion and Non-Uniform Motion

Uniform Motion and Non-Uniform Motion

Uniform Motion and Non-Uniform Motion

Uniform Motion and Non-Uniform Motion

Uniform Motion and Non-Uniform Motion

Uniform Motion and Non-Uniform Motion

Uniform Motion and Non-Uniform Motion

Uniform Motion:

Definition: Uniform motion is determined as the movement of a thing in

which the object travels in a straight line and its velocity is left

constant along that line as it encloses equivalent distances same intervals of

time, regardless of the length of the time.

Example:

1.If

the speed of a bus is 20m/s so the bus will do 20 meters is one second. The

speed is uniform after every second.

2.The

motion of the blades in a fan.

Non-Uniform

Motion:

Definition: Non

Uniform motion is determined as the movement of a thing in which the object

travels with varied speed and it doesn’t enclose same distance in equal time

intervals, irrespective of the time interval length.

Example:

1.A bus moving 16 meters in first two second and 26

meters in the next two seconds.

2.The motion of an airplane.