Answer: A uniform aluminum beam 9.00 m long, weighing 300

Chapter 11, Problem 12E

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QUESTION:

A uniform aluminum beam \(9.00 \mathrm{~m}\) long, weighing \(300 \mathrm{~N}\), rests symmetrically on two supports \(5.00 \mathrm{~m}\) apart (Fig. E11.12). A boy weighing

\(600 \mathrm{~N}\)starts at point A and walks toward the right. (a) In the same diagram construct two graphs showing the upward forces and exerted on the beam at points A and B, as functions of the coordinate x of the boy. Let vertically, and \(1 \mathrm{~cm}=1.00 \mathrm{~m}\) 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?

Equation Transcription:

Text Transcription:

9.00 m

300 N

5.00 m

600 N

1cm=1.00 m

Questions & Answers

QUESTION:

A uniform aluminum beam \(9.00 \mathrm{~m}\) long, weighing \(300 \mathrm{~N}\), rests symmetrically on two supports \(5.00 \mathrm{~m}\) apart (Fig. E11.12). A boy weighing

\(600 \mathrm{~N}\)starts at point A and walks toward the right. (a) In the same diagram construct two graphs showing the upward forces and exerted on the beam at points A and B, as functions of the coordinate x of the boy. Let vertically, and \(1 \mathrm{~cm}=1.00 \mathrm{~m}\) 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?

Equation Transcription:

Text Transcription:

9.00 m

300 N

5.00 m

600 N

1cm=1.00 m

ANSWER:

Solution 12 E

Step 1:

In the question,we need to construct a graph showing force on the beam at point A and B

From this graph we need find how far beyond the point B can the boy before the beam can tip

In the third part we need to find the the distance at which the support B has to be placed such that the boy can walk tipping

Data given

Length of the beam

Force exerted by the boy on the beam

Weight of the beam

Distance between the supports

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