Equations of Equilibrium Learning Goal: To be able to solve for unknown forces a
ID: 1437776 • Letter: E
Question
Equations of Equilibrium Learning Goal: To be able to solve for unknown forces and moments in rigid-body problems using the equations of equilibrium For a rigid body to be in equilibrium, both the sum of the forces and the sum of the moments about an arbitrary point O be of 1 Figure 1 Part A As shown, a uniform beam that has a mass 42.0 kg is attached to a wall at point A. The beam is subjected to three forces, F 19.0 N. F 6.70 N, and F3 18.0 N (Figure 1) The line of action of F2 passes through point A. If the wall can sustain a maximum moment of 825 N.m about point A, what is the largest value for d, the beam's length, that preserves static equilibrium? The beam's width is negligible. Express your answer numerically in meters to three significant figures Submit Hints My Answers Give Up Review Part Part B This question will be shown after you complete previous question(s) Part C This question will be shown after you complete previous question(s)Explanation / Answer
A)
maximum moment about A = F1*(d/2)sin(theta) + F3*d*sin(90) + F2*d*sin(0)
825 = 19*(d/2)*(4/5) + 18*d
825 = d*(19*2/5 + 18)
d = 825/(19*2/5 + 18)
= 32.22 m
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