Basic understanding of mechanics
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This document provides an overview of mechanics, which is divided into static bodies (bodies at rest) and moving bodies. Static body mechanics analyzes rigid bodies at rest using equations of equilibrium. Moving body mechanics, also called kinematics or kinetics, can analyze motion using equations of displacement, velocity, acceleration derived from basic physics definitions. Kinetics specifically analyzes motion using Newton's laws of motion and the concept of conservation of energy. Mechanics principles can be applied to analyze machines and different types of motion.
Basic understanding of mechanics
- 1. BASIC UNDERSTANDING OF MECHANICS-SHIVAHARSH POTHULA
- 2. MECHANICS IS EVERYWHERE WHICH IS ANALYZED IN THE ABOVE FIGURE ALSO
- 3. MECHANICS IS UNDERSTOOD UNDER TWO CATOGERIESBodies under rest (static bodies)Bodies under motion
- 4. Generally the body under rest is considered as static bodyBy the Newton's first law body is said to be rest when the resultant force is zeroThe forces are analyzed in required plane depending on the type of forces are acting on itStatic body mechanics
- 5. The body is considered as rigid bodyThe forces are said to act at the sharp point on the bodyThe deformation on the body due to force is neglectedAssumptions :
- 6. If the forces are acting respective X,Y,Z axes the equilibrium equation of forces are ∑Fx=0 ∑Fy=0 ∑Fz=0 the turning effect about any axes is absorbed by the moment equations ∑Mx=0 ∑My=0 ∑Mz=0 Equations of equilibrium:
- 7. The static equation concept is very much useful for the analyze of structuresThis concept is lead to specialized subject for the civil,mechanical,aeronautical engineersThe complex structures are analyzed by the virtual displacement method which mainly depend on these static equationsUses:
- 8. These also called as kinematics or kineticsIf the subject is dealt with the force considered in the motion of body its called as kinetics of bodyIf the subject is dealt without considering forces then its called as kinematicsMechanics of motion bodies
- 9. The kinematics of the body deals with motion of body with out observing the force acting on it It is the base for the kinetics of the bodyThe equations mainly derived from the basic physics definitions eg., displacement ,velocity,acceleration etckinematics
- 10. The equation of motion are analyzed as follows let v,u,s,a,t represent the finalvelocity,initial velocity,displacement,acceleration,time V=u+at s=ut+0.5at² v²-u²=2as
- 11. The above equations are basic equations depend on uniform motionIf the motion is non uniform then the differential forms are usedThe calculus is very much used to understand the motion
- 12. THE MAJOR ERROR I HAVE OBSERVED IS ON BY USING THE DIFFERENTIAL FORMS. ITS BETTER TO ANALYZE THE KINEMATICS OF THE MOTION IN TERMS OF GRAPHS. ITS ADVISABLE TO USE VELOCITY-TIME,DISPLACEMENT –TIME,ACCELERATION-TIME GRAPH FOR FIDING THE SOLUTIONSNote
- 13. It deals with observing the body in motion of the body with respect to the force acting on it.The Newton's second law of motion is major source for the equations F=Ma F net force acting on the body M mass of the body a acceleration of the bodyKinetics of the body
- 14. It also deals with the energy of the bodyThe main concept is conservation of the energy i.e., the energy cannot be created or destroyed its converted from one form to other E=constant E net mechanical energyIt also leads to other concept i.e., conservation of momentum depending on the friction losses and type of motion
- 15. There is wide range of practical analyzing of machines with the help of above conceptThe accurate results are made with the kinetics motion analysesMotion type is analyzed by the mechanics conceptUSES:
- 16. The body is running due to the friction force between the leg face and groundThe red scrap is on to the body because of force due to the air and friction between the body and scarpThe body raises its hands due to internal energy which is doing opposing work on gravityThe body is running with the certain speed which also dealt under mechanicsANALYZING THE FIGURE SHOWN AT THE START
- 17. -Mechanics is all around us when we observe when observe the every situation of the world it all resembles mathematics, general physics , chemistry……………..---- thank you