Solved: A uniform, 8.0-m, 1150-kg beam is hinged to a wall

Chapter 11, Problem 50P

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QUESTION:

A uniform, \(8.0-\mathrm{m}, 1500-\mathrm{kg}\) beam is hinged to a wall and supported by a thin cable attached \(2.0 \mathrm{~m}\) from the free end of the beam, (Fig. P11.50). The beam is supported at an angle of \(30.0^{\circ}\) above the horizontal. (a) Draw a freebody diagram of the beam. (b) Find the tension in the cable. (c) How hard does the beam push inward on the wall?

Equation Transcription:

°

°

°

Text Transcription:

8.0-m, 1500-kg

2.0 m

30.0^circ

40.0^circ

30.0^circ

Questions & Answers

QUESTION:

A uniform, \(8.0-\mathrm{m}, 1500-\mathrm{kg}\) beam is hinged to a wall and supported by a thin cable attached \(2.0 \mathrm{~m}\) from the free end of the beam, (Fig. P11.50). The beam is supported at an angle of \(30.0^{\circ}\) above the horizontal. (a) Draw a freebody diagram of the beam. (b) Find the tension in the cable. (c) How hard does the beam push inward on the wall?

Equation Transcription:

°

°

°

Text Transcription:

8.0-m, 1500-kg

2.0 m

30.0^circ

40.0^circ

30.0^circ

ANSWER:

Solution 50P

Step 1:

Introduction

We need to find the tension, force on the wall due to the beam using the free body diagram.

(a)Free body diagram is as follows:

asjd.JPG

a=3.46m

W=1150x9.8=11270N

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