Kinematics

Kinematics is the branch of physics that studies motion of bodies

without considering or analyzing 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.

In

many situations, kinematics is used in astrophysics. Astrophysics is

the branch of astronomy that deals with the stars and other celestial bodies.

In biomechanics kinematics and robotics is described the movement of

systems that made of connected parts which is called multi-linked-systems such

as the human skeleton, a machine that it’s part are moving 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 operates the rate of the kinematic amount that is used to report

motion. In engineering, for example, kinematic analysis can be used finding the

range of motion for a specified mechanism, and working in the opposite way,

using kinematic synthesis to create a mechanism for a wanted range of

movement. Furthermore, kinematics uses algebraic geometry to study

the mechanical superiority 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).

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 splat by the

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

Velocity

is ratio of the path that a body does in the time that it completes the path. 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. Acceleration is the change of the speed in a rate of time. 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. To find acceleration we use this formulae:

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.