In the figure below (the link below) , a vector a with a magnitude of 12.0 m is

Question

In the figure below (the link below) , a vector a with a magnitude of 12.0 m is directed at an angle ? = 56.0° counterclockwise from the +x axis.

http://www.webassign.net/hrw/hrw7_3-31.gif

(a) What is the component ax of the vector?


What is the component ay of the vector?



(b) A second coordinate system is inclined by ?' = 17.0° with respect to the first. What is the component a'x in this primed coordinate system?


What is the component a'y in this primed coordinate system?



I Did part (a) but i need help with part (b) please .

Explanation / Answer

Magnitude A = 12 m Angle = 56 o (a). x component of vector A = A cos 56                                              = 6.71 m y component of vector A = A sin 56                                               = 9.948 m (b). x component in primed coordinate system = A cos ( - ')                                                                       = 12 cos (56-17)                                                                       = 9.325 m y component in primed coordinate system = A sin ( - ')                                                                 = 7.551 m

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---