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16Kinematics 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 the distance travelled in unit time in a stated direction 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 time 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 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

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