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Solved: A uniform aluminum beam 9.00 m long, weighing 300
Chapter 11, Problem 11.12(choose chapter or problem)
A uniform aluminum beam 9.00 m long, weighing 300 N, rests symmetrically on two supports 5.00 m apart (Fig. E11.12). A boy weighing 600 N starts at point A and walks toward the right.
(a) In the same diagram construct two graphs showing the upward forces \(F_{A} \text { and } F_{B}\) exerted on the beam at points A and B, as functions of the coordinate x of the boy. Let 1 cm = 100 N vertically, and 1 cm = 1.00 m horizontally.
(b) From your diagram, how far beyond point B can the boy walk before the beam tips?
(c) How far from the right end of the beam should support B be placed so that the boy can walk just to the end of the beam without causing it to tip?
Questions & Answers
QUESTION:
A uniform aluminum beam 9.00 m long, weighing 300 N, rests symmetrically on two supports 5.00 m apart (Fig. E11.12). A boy weighing 600 N starts at point A and walks toward the right.
(a) In the same diagram construct two graphs showing the upward forces \(F_{A} \text { and } F_{B}\) exerted on the beam at points A and B, as functions of the coordinate x of the boy. Let 1 cm = 100 N vertically, and 1 cm = 1.00 m horizontally.
(b) From your diagram, how far beyond point B can the boy walk before the beam tips?
(c) How far from the right end of the beam should support B be placed so that the boy can walk just to the end of the beam without causing it to tip?
Step 1 of 8
We have,
The length of the beam, L = 9 m
The weight of the bar, \(W_{\mathrm{bar}}=300\mathrm{\ N}\)
The weight of the boy, W = 600 N
The beam rests on two supports 5 m apart.
The boy starts at point A and walks toward the right.