Question

Determine the x and y components of the following three vectors in the xy plane.


1) (a) A 14-m displacement vector that makes an angle of 22° clockwise from the +y direction.
x:


2) y:


3) (b) A 19-m/s velocity vector that makes an angle of 40° counterclockwise from the -x direction.
x:


4) y:


5) (c) A 48-lb. force vector that makes an angle of 169° counterclockwise from the -y direction.
x:


6) y:

Answer 1

1. 14m[22o] CW from +Y-axis.
X = 14*sin22 = 5.24 m.

2. Y = 14*Cos22 = 12.98 m.

3. 19m[40o] CCW from +X-axis.
X = 19*Cos40.

4. Y = 19*sin40

5. 48Lb[169o] CCW from -Y-axis = 48Lb[79o] N. of E.
X = 48*Cos79

6. Y = 48*sin79