(5) The turnbuckle is tightened to produce a 1.2 kN tensionforce in cable AB acting at point A of the arm. Use vectorcross product to determine the moment vector of the tensionabout point O and then calculate its magnitude.Ans: Mo=-1.371 +2.19j+1.097 kN·m,Mo 2.81 kN·m1.6 m2 m1.5 m0.8 mB

Step 1: Step 2: Step 3: Step 4:

Answered: (5) The turnbuckle is tightened to…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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#4
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!.
For the stress tensor shown in question 3, find the traction vector, normal and shearing stress on a plane whos normal vector has 1 directional cosines / = 0, m = ½, n 9 FS
(5) The force F=80 N is applied to the crank OA through rod AB at point A as shown, with OA= 0.05 m, 0 = 55°, and ẞ= 15°. (a) Determine from geometry the moment arm d for the force about point O, and then (b) determine the moment of the force F about point O. Ans: (a) 0.0383 m (b) 3.06 N·m CCW F B
(5) The 16 N force is applied to the foot valve AC at point A as shown with a = 28°. Determine (a) the force component perpendicular to line BA and (b) then calculate the moment produced by the force about point B. Ans: (a) 7.51 N (b) MB = 1.277 N·m CCW 20° 16 N 170 mm 80 mm
(8) Replace the two forces and a couple acting on the beam by an equivalent resultant force Ŕ and resultant moment MA at point A. Ans: R=1.644 +1.159 kN, M₁ = 2.22 kNm CCW A 2 kN 0.5 m 1.5 m 70° 0.15 m 0.15 m 500 N·m -x 1.2 kN

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(5) The turnbuckle is tightened to produce a 1.2 kN tension force in cable AB acting at point A of the arm. Use vector cross product to determine the moment vector of the tension about point O and then calculate its magnitude. Ans: Mo=-1.371 +2.19j+1.097 kN·m, Mo 2.81 kN·m 1.6 m 2 m 1.5 m 0.8 m B