Pakistan study notes for Matric, Intermediate, B.A, B.COM BSC, M.A, BCS. Free Pakistani Urdu educational school, colleges and University notes.

Methods of Resolving a Vector into Rectangular Components

Methods of Resolving a Vector into Rectangular Components

Consider a vector V acting at a point making an angle ø with positive x-axis. Vector V is represented by a line OA. From point A draw a perpendicular AB on X-axis. Suppose OB and BA represents two vectors. Vector OA is parallel to X-axis and vector BA is parallel to Y-axis. Magnitude of these vectors is V   and Vy respectively. By the method of head to tail we notice that the sum of these vectors is equal to vector V. thus Vx and Vy are the rectangular components of vector V.

Vx = Horizontal component of V

 

Vy = Vertical component of V

 

Magnitude of Horizontal Component:
Consider right angled triangle ABO
 

Cos ø =

OB

 

OA

 
 

 

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