3. Vectors
Vector Composition & Decomposition
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4PRACTICE PROBLEM
A car has a position vector of 3.0 m with a direction of 45° clockwise from the north. Determine the components of the position vector along the x and y axes in the normal and tilted coordinate systems shown below.
A car has a position vector of 3.0 m with a direction of 45° clockwise from the north. Determine the components of the position vector along the x and y axes in the normal and tilted coordinate systems shown below.
ANSWERS OPTIONS
A
Normal coordinate system
Rx = +2.1 m ; Ry = +2.1 m
Tilted coordinate system
Rx = +2.1 m ; Ry = +2.1 m
Rx = +2.1 m ; Ry = +2.1 m
Tilted coordinate system
Rx = +2.1 m ; Ry = +2.1 m
B
Normal coordinate system
Rx = +2.5 m ; Ry = 0 m
Tilted coordinate system
Rx = +2.5 m ; Ry = 0 m
Rx = +2.5 m ; Ry = 0 m
Tilted coordinate system
Rx = +2.5 m ; Ry = 0 m
C
Normal coordinate system
Rx = +2.1 m ; Ry = +2.1 m
Tilted coordinate system
Rx =+2.6 m ; Ry = +1.5 m
Rx = +2.1 m ; Ry = +2.1 m
Tilted coordinate system
Rx =+2.6 m ; Ry = +1.5 m
D
Normal coordinate system
Rx = 0 m ; Ry = +2.5 m
Tilted coordinate system
Rx = +1.5 m ; Ry = +2.6 m
Rx = 0 m ; Ry = +2.5 m
Tilted coordinate system
Rx = +1.5 m ; Ry = +2.6 m