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VIDEO 6 WWW.JEEPHYSICSGURU.COM
BASIC MATHEMATICS
Till now covered  Units and dimensions
Till now covered  Units and dimensions Dimensional  analysis
Till now covered  Units and dimensions Dimensional  analysis Significant figures
Till now covered  Units and dimensions Dimensional  analysis Significant figures Least count
Till now covered  Units and dimensions Dimensional  analysis Significant figures Least count Error analysis
Important concepts
Important concepts Knowledge of same basic graphs , like      equation of line y = m.x + c ,  quadratic equations etc.
Important concepts Knowledge of same basic graphs , like      equation of line y = m.x + c ,  quadratic equations etc. Basic knowledge of trigonometry.
Important concepts Knowledge of same basic graphs , like      equation of line y = m.x + c ,  quadratic equations etc. Basic knowledge of trigonometry. Vectors
Important concepts Knowledge of same basic graphs , like      equation of line y = m.x + c ,  quadratic equations etc. Basic knowledge of trigonometry. Vectors  Calculus basics
Cover  two  topics We cover two topics for now  First : VECTORS
Cover  two  topics We cover two topics for now  First : VECTORS Then Later: CALCULUS
Vectors (type of physical quantity)
DEFINITION  SCALARS    Quantities in physics  which are determined uniquely by one number are called scalars. Example: Mass , temperature , distance , speed , time , work , energy.
DEFINITION VECTORS Quantities in physics which are determined completely by two things  1st -> Magnitude 2nd ->Direction  are called vectors. Example:  weight , force ,acceleration ,velocity, displacement .
Don’t  Get Confused   Physics  and English Dictionary are Different. Mass , Weight  ho ya speed ,velocity   Both means same in English dictionary. BUT In PHYSICS both have completely DIFFERENT      Meanings.
To  Understand  Vectors To  understand  vectors   we  will  consider examples of vectors for easy understanding. Pehla  concept haiDistance/Displacement ka. Doosra  concept  haispeed/velocity.
Easiest  thing  to  measure in  a  body : “ ITS   POSITION   WITH   TIME “ Position  is  calculated  with  some  reference point  always . Reference  point   is  called  ORIGIN.
3  Types  of  motion 1-dimensional  motion.  2-dimensional motion.  3-dimensional motion.
1-D Motion   1-Dimensional motion  means: body only moves along a line.   only one number good enough to represent a position uniquely.   one single axes used to represent it. Simplest  Example:    “ Motion Of a Freely Falling Ball “
Motion of  ball
Three   positions during fall
Reference point dependence  If  top  is  reference  point  then      initial value of position is   0      final  value  of position is  -H
Reference point dependence  If  middle is  reference  point  then      initial value of position is   H/2      final  value  of position is   -H/2
Reference point dependence  If  ground   is  reference  point  then initial value of position is    H      final value of position  is     0
THREE  CASES
2-D Motion 2 –dimensional motion means: Body moves on a plane. There are 2 numbers needed to specify a unique position. 2 perpendicular axes used to represent it. 2²=4 quadrants made by axes
Representation of positions on 2D
3-D Motion   3 dimensional motion means : Body moves in space. There are 3 numbers needed to specify a      unique  position. 3-perpendicular axes used to represent it. 2³ = 8 octants made by axes.
3 axes, 3 numbers used  to represent
Example  of a CUBE
SAY A FLY MOVES IN CUBE THEN Fly’s  position  will  always  be (at any time) determined uniquely  by  3   numbers ( x,y,z). WHERE      0<x<1 ,  0<y<1,  0<z<1  So here motion of fly is 3 dimensional
SO THESE WERE 3 TYPES OF POSSIBLE MOTION: NEXT: We  further  understand   vectors. Taking  distance /displacement ,speed /velocity as  examples in next video
Abhikeliye good bye…..

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Vectors1 ppt6

  • 3. Till now covered Units and dimensions
  • 4. Till now covered Units and dimensions Dimensional analysis
  • 5. Till now covered Units and dimensions Dimensional analysis Significant figures
  • 6. Till now covered Units and dimensions Dimensional analysis Significant figures Least count
  • 7. Till now covered Units and dimensions Dimensional analysis Significant figures Least count Error analysis
  • 9. Important concepts Knowledge of same basic graphs , like equation of line y = m.x + c , quadratic equations etc.
  • 10. Important concepts Knowledge of same basic graphs , like equation of line y = m.x + c , quadratic equations etc. Basic knowledge of trigonometry.
  • 11. Important concepts Knowledge of same basic graphs , like equation of line y = m.x + c , quadratic equations etc. Basic knowledge of trigonometry. Vectors
  • 12. Important concepts Knowledge of same basic graphs , like equation of line y = m.x + c , quadratic equations etc. Basic knowledge of trigonometry. Vectors Calculus basics
  • 13. Cover two topics We cover two topics for now First : VECTORS
  • 14. Cover two topics We cover two topics for now First : VECTORS Then Later: CALCULUS
  • 15. Vectors (type of physical quantity)
  • 16. DEFINITION SCALARS Quantities in physics which are determined uniquely by one number are called scalars. Example: Mass , temperature , distance , speed , time , work , energy.
  • 17. DEFINITION VECTORS Quantities in physics which are determined completely by two things 1st -> Magnitude 2nd ->Direction are called vectors. Example: weight , force ,acceleration ,velocity, displacement .
  • 18. Don’t Get Confused Physics and English Dictionary are Different. Mass , Weight ho ya speed ,velocity Both means same in English dictionary. BUT In PHYSICS both have completely DIFFERENT Meanings.
  • 19. To Understand Vectors To understand vectors we will consider examples of vectors for easy understanding. Pehla concept haiDistance/Displacement ka. Doosra concept haispeed/velocity.
  • 20. Easiest thing to measure in a body : “ ITS POSITION WITH TIME “ Position is calculated with some reference point always . Reference point is called ORIGIN.
  • 21. 3 Types of motion 1-dimensional motion. 2-dimensional motion. 3-dimensional motion.
  • 22. 1-D Motion 1-Dimensional motion means: body only moves along a line. only one number good enough to represent a position uniquely. one single axes used to represent it. Simplest Example: “ Motion Of a Freely Falling Ball “
  • 23. Motion of ball
  • 24. Three positions during fall
  • 25. Reference point dependence If top is reference point then initial value of position is 0 final value of position is -H
  • 26. Reference point dependence If middle is reference point then initial value of position is H/2 final value of position is -H/2
  • 27. Reference point dependence If ground is reference point then initial value of position is H final value of position is 0
  • 29. 2-D Motion 2 –dimensional motion means: Body moves on a plane. There are 2 numbers needed to specify a unique position. 2 perpendicular axes used to represent it. 2²=4 quadrants made by axes
  • 31. 3-D Motion 3 dimensional motion means : Body moves in space. There are 3 numbers needed to specify a unique position. 3-perpendicular axes used to represent it. 2³ = 8 octants made by axes.
  • 32. 3 axes, 3 numbers used to represent
  • 33. Example of a CUBE
  • 34. SAY A FLY MOVES IN CUBE THEN Fly’s position will always be (at any time) determined uniquely by 3 numbers ( x,y,z). WHERE 0<x<1 , 0<y<1, 0<z<1 So here motion of fly is 3 dimensional
  • 35. SO THESE WERE 3 TYPES OF POSSIBLE MOTION: NEXT: We further understand vectors. Taking distance /displacement ,speed /velocity as examples in next video