(c) What is the algebraic expression for the angle ? that the vector makes with

Question

(c) What is the algebraic expression for the angle ? that the vector makes with respect to the positive x axis? Express your answer in terms of an inverse trigonometric function (e.g., atan) and the components Ax and Ay. (Answer using A_x for Ax and A_y for Ay)
? = _____________


(d) The components of vector are Ax = 11 m and Ay = 11 m. Find ?.
? = __________________

(e) The components of vector are Ax = 2 m and Ay = 11 m. Find ?.
? = ________________°

(f) The components of vector are Ax = 11 m and Ay = 21 m. Find ?.
? = ________________°

Explanation / Answer

(c) Angle = Tan^-1[A_y/A_x] Counter Clockwise from the +ve X axis. (d) = Tan^-1[11/11] = Tan^-1[1] = 450 Counter Clockwise from the +ve X axis (e) = Tan^-1[11/2] = Tan^-1[5.5] = 79.690 Counter Clockwise from the +ve X axis (f) = Tan^-1[21/11] = Tan^-1[1.9] = 62.350 Counter Clockwise from the +ve X axis

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