To be able to solve for unknown forces and moments in rigid-body problems using

Question

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 must be zero: As shown, a roller at point A and a pin at point B support a uniform beam that has a mass 18.0kg . The beam is subjected to the forces F1=41 .ON and F2 = 80.0N . The dimensions are l1 = 0.800m and l2 = 2.40m . (Figure 2) What are the magnitudes Fa and FB of the reaction forces Fa and FB at points A and B, respectively? The beam's height and width are negligible. Express your answers numerically in newtons to three significant figures separated by a comma.

Explanation / Answer

Balancing moment about point A for equilibrium:

F1l1+F2(l1+l1)sin(90-15)+FBY(l1+l2)=0  

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