Question 2.97: The circular bar has a 4-m radius and lies in the x-y plane.......
The circular bar has a 4-m radius and lies in the x-y plane. Express the position vector from point B to the collar at A in terms of components.
From the figure, the point B is at (0, 4, 3) m. The coordinates of point A are determined by the radius of the circular bar and the angle shown in the figure. The vector from the origin to A is r_{OA} = 4 cos(20°)i + 4 sin(20°)j m. Thus, the coordinates of point A are (3.76, 1.37, 0) m. The vector from B to A is given by r_{BA} = (x_A – x_{B})i + (y_A – y_B)j + (z_A – z_B)k = 3.76i – 2.63j – 3k m. Finally, the scalar components of the vector from B to A are (3.76, -2.63, -3) m.
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