Physics Quantities Vector Quanties Scalar Quantities Consist of.

Presentasi berjudul: "Physics Quantities Vector Quanties Scalar Quantities Consist of."— Transcript presentasi:

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2 Physics Quantities Vector Quanties Scalar Quantities Consist of

3 What is the Vector Quantities and scalar Quantities ? Vector QuantitiesScalar Quantities Have a magnitude and direction Have a magnitude without direction Example Velocity, Acceleration, Force Example Mass, Volum, Time,temperature

4 About Notation Vector Quantities Scalar Quantities A or A A Ex : r, v, F r, v, F Ex :m,T,L

5 Representation of vector Direction of line Length of line expressed by magnitude Tail Head A

6 Direction of Vector A -A B -B C -C Note : Direction of vector A,B changes since it is negative

7 Resultan is the total of two or more vector How the resultan in the same direction? 10 km 20 km

8 How the resultant in opposite direction? 5 cm 10 cm 5 cm A B R So, the resultan

9 Addition & Subtraction of vector A + B = R A – B = A + (-B)

10 The Addition & Subtraction can be Performade by Geometrical Methode Analytical Method Polygon Method Parrallelo gram Method Cossinus Method Component Method

11 A B R=A+B Polygon method

12 A B R=A+B Parallelogram method

13 How the describe in three vector A BC AB C R= A – B+C

14 Use the triangle and parallelogram methods to describe the result 5 cm 3 cm 4 cm a)A + B + Cd)A- B – C b)A + B - Ce)A – B + C c)(A – B ) + C

15 Analytical Method Cossinus Component A ά β R B Two Dimension Three Dimension 220 90BARif 

16 Component Method V x =V cos α,V y = Vsinα V = Vxi + Vyj Vx Vy V X Y α

17 Example 1.A vector velocity (v) form an angle 30 0 with positive x axis and the magnitude is 20 m/s. Determine the magnitude of vector components? 2.Two vector s of velocity have base point which coincide,those are v 1 =3m/s and v 2 =4m/s, ά=60 0,find the magnitude and direction of vector resultant

18 solution Known : v=20 m/s, =30 0 Asked:v x and v y Answered: v x =v 0 cos άv y =v 0 sinα v x =20 cos 30v y =20sin30 =20.1/2 =10 m/s

19 2. v 1 =3m/s,v 2 =4 m/s, ά=60 0 v= V= 3 2 +4 2 +2.3.4 Cos 60 0 V = 37

20 i j x y Three dimensional i=j=k=1 units z k

21 x y z A AiAi AkAk AjAj A = A x i+A y j+A z k A= A + B= (A x +B y )i+(A y +B y )j+(A z +B z )k A – B = (A x -B y )i+(A x -B y )j+(A z +B y )k

22 Vector Multiplication 1.Dot Product Vector 2.Cros Product Vector A. B = AB cosα Dot Product vector gives a scalar unuts Ex: W=F.s A x B = C=AB sin α Cross product gives a new vector result

23 Polygon Method + = A B R=A + B A B Parrallelogram + = A B A B R=A+B