Summary Vectors in 2 dimensions

Physics
Vectors in 2 dimensions

Vector : a physical quantity that has direction and magnitude



Resultant : vector sum



 Change all vectors into x and y components (don’t round only up to 4 decimals)
 Find resultants of x and y (don’t round up to 4 decimals)
 Draw resultants using HEAD TO TAIL
 Find rusultnat R using pythag
 Find ϴ using pythag (tan)



“*” – mean degree’s

The components of a vector have the same

Units as that vector




VECTOR B VECTOR A

VB- vector B VA-vector A

X- component Y-component



VBX=VBcosϴ VAX=VBcosϴ

VBX=50cos(30) VAX=75cos(30) (ϴ=x angle therefore 90-60=30)

VBX=43.3N (+/right) (25ROOT3) VAX=64.95N (+/right) (75ROOT3/2)

, VBY=VBsinϴ VAY=VBsinϴ

VBY=50sin(30) VAY=75sin(30)

VBY=25N (+/up) VAY=37.5N (-/down) (75/2)



RX=25ROOT3+75Root3/2

RX=64.95+43.3

RX=108.5N (right)



RY=25+(-75/2)

RY=25+(-37.5)

RY=-12.5N(down)




R=12.5^2+108.5^2

R=108.97

R=109



RX=tan(108/12.5)

RX=6.59*