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

ID: 1953266 • Letter: I

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

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

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