(1) For the tension T = 575 N in cable DE, (a) use vector cross product determine the moment of the tension force about O, and (b) calculate the moment of the tension force about line OF. Ans: (a) M=-2220i +1666j -714k N'm (b) MoF -2620 N·m 3 m 4 m 3 ml 2 m 3 m B 30° D BC = CD = 2.5 m

A force of P₂ = 850 N is exerted on control arm BC, which is securely attached to the solid 25 mm diameter shaft. Dimensions of the assembly are a = 200 mm and b = 130 mm. Determine the absolute maximum shear stress in the shaft at (a) point Hand (b) point K. Answer: A (a) (Tabs max) H = (b) (Tabs max)K = P₂ i K i b a B X ! MPa MPa

Part E: Vectors MindBook decides to diversify their portfolio and invest in the "RoboMap" technology which is a robot that maps different types of territories. The new CEO is trying to make some drastic changes to some of the software and hardware systems in the new version of the robot. You have been hired by the opposing faction in the board to lead an investigation on how the performance of the robot is affected by the new proposed changes. a) The first system that you will test is the navigation system. The robot maps the territory by calculating distances and angles whilst moving between various locations. It then stores on its system the shortest direct path from initial location to the intended target. During the test the robot navigates around a muddy surface in the following path: 55cm [NW] and then moves 45cm [S30°W]. The robot sends back to the server the following overall shortest path: 70cm [W10°S]. Use triangle or parallelogram method to verify the precision of the…

A wrench 1m long lies along the positive y-axis and grips a bolt at the origin (i.e. the wrench can be represented by vector <0,1,0>). A force is applied in the direction of the unit vector <0, 1/sqrt(2), 1/sqrt(2)> at the end of the wrench. Find the magnitude of the force in Newtons (N) needed to supply 5sqrt(2) N*m of torque to the bolt.  torque = | r x F |  if r = <0,1,0> and F = <0, 1/sqrt(2), 1/sqrt(2)> so the torque is equal to the magnitude of the cross product of these two vectors but I don't understand how to get incorporate the 5sqrt(2) N*m I know that the magnitude of the cross product must be equal to 5sqrt(2) but I am not sure how to work backwards to that answer, please help!.