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*
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*
