(1) Replace the three forces acting on the bar by theresultant force and resultant moment at point A. Thendetermine the x- and y-intercepts of the line of action ofthe single equivalent resultant force.Ans: R=400-3010ŷ lb, M₁ = 18190 lb-ft CW,Xint 6.05 ft, yint=45.5 ft2500 lb1200 lb•AB⚫30°2.800 lb2.3'E

The problem asks us to replace three forces acting on a bar by a single equivalent resultant force…

Answered: (1) Replace the three forces acting on…

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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(1) Determine the two components Fa and Fb of the 4 kN force along the oblique a- and b-axes. Also determine the two projections Pa and Pb of the 4 kN force onto both a- and b-axes. Ans: Fa 1.935 kN, Fb = 2.39 kN, Pa = 3.63 kN, Pb = 3.76 kN 15° 40° F= 4 kN x
Calculate the magnitude of the tension T and the angle 0 for which the eye bolt will be under a resultant downward force of 17.1 kN. Assume F = 6.1 kN, P = 9.9 kN, = 23° P T Answers: T= 0= H kN F
(3) The gusset plate is subjected to two forces F₁ = 0.8 KN and F2 = 0.9 kN at point A as shown. If they are replaced with Fa and Fb and the resultant forces from the two pairs are identical, determine the magnitudes of Fa and Fb. Ans: Fa=1.199 kN, Fb = 0.433 kN F₂ 30°-40° x
(2) For the two oblique axes shown, determine the component of F along the b-axis F, if the projection of force F onto the a-axis is Pa = 250 N. Ans: Fb = 612 N 60° 45°
A basket of flowers of mass 3 kg is placed on a flat grassy slope that makes an angle θ with the horizontal. The coefficient of static friction between the basket and the slope is 0.45 and the basket is on the point of slipping down the slope. Model the basket of flowers as a particle and the grassy slope as a plane. Take the magnitude of the acceleration due to gravity, g, to be 9.8 m s−2 Express the forces in component form, in terms of θ and unknown magnitudes where appropriate. Write down the equilibrium condition for the basket and hence show that tan θ = 0.45. Determine the angle, in degrees, that the slope makes with the horizontal.
18. The line with equation y 5x+bwhere bis a constant, passes through the point (1, 7). What is b? 19. The graphs of the lines y= 4-x and x= -9intersect at a point. What is the y-coordinate of the point? - 5 intersect at a point. What is the y-coordinate of the point? 20. The graphs of the lines y = 9-x and x= eng noint

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