According to the figure, the vector equation is x B A vB=vA+vA/B O Option 4 OVA/B=VA-VB VA= vB+vA/B
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- The vector expressions for the position vectors for cables “AC” and “AD” are given by: rAC = -3i - j - 6k ft and rAD = 2i + 3j - 6k ft respectively. What is the length of cable “AD”?Use Cartesian vector analysisFrame {2} is rotated with respect to frame {1} about the x-axis by an angle of 600. the position of the origin of frame{2} as seen from frame {1} is 1D2=[9.0 7.0 9.0]T. Obtain the transformation matric 1T2, which describes frame {2} relative to frame {1}. Also, find the description of point P in frame {1} if 2P = [4.0 6.0 8.0]T.
- 3 points are plotted in the x, y, & z-plane as follows: A(-1,0,3); B(4, 2, 0); C(0,-1,-1). Establish a position vector from point B to point A. Please include a free-body diagram if possible. Choices are as follows: a) 0.81i + 0.32j - 0.49kb) 0.78i + 0.59j - 0.20kc) 0.24i - 0.24j - 0.94kd) 0.81i + 0.32j + 0.49ke) 0.81i - 0.32j + 0.49kf) 0.24i + 0.24j + 0.94kg) 0.78i - 0.59j - 0.20kh) 0.81i - 0.32j - 0.49ki) 0.78i + 0.59j + 0.20kj) 0.78i - 0.59j + 0.20kk) 0.24i - 0.24j + 0.94kl) 0.24i + 0.24j - 0.94kTransform the rectangular vector (-1.860, -3.987, 2) to cylindrical vector?1. Vector 1 is 30 m/s at 300° and Vector 2 is 80 m/s at 50°. Direction at CCW due East.a) Calculate the resultant vector using Pythagorean theorem and/or trigonometry.
- 1. How do we represent a vector in the Cartesian Vector form for two-dimension and for three-dimension? Show an example.a = 4 mb = 3.2 mc = 2 mF = {-7i+4j+12k} NSpecified axis: AF Find the magnitude of the moment of F about the specified axis.If the calculated answer is not whole number, express it in 4 significant figures.A bicycle rider has M. The wheels of the bicycle are at distance l apart and horizontaldistance between the seat and the rear wheel is d. Use principle of virtual work to find the normalreactions on the base of the two wheels when the rider is riding steadily.