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Chapter 12: Q. 59 (page 333)

In Figure P12.59, an 80 kg construction worker sits down 2.0 m from the end of a 1450 kg
steel beam to eat his lunch. What is the tension in the cable?

Short Answer

Expert verified

The tension in the cable is 1.53 x 104 N

Step by step solution

01

Given Information

Mass of worker = 80 kg

worker sits 2.0 m from the end

Mass of steel beam = 1450 kg

02

Explanation

First draw the diagram as below to understand and solve the problem

And then equate the clockwise and anti-clock wise torque about the origin

We, get

Wb脳3m+Ww脳4m=Tsin30掳脳6m

Substitute the given value and solve for T

use weight as mg .. so multiply mass with g.

T=1450kg脳9.8m/s2脳3m+80kg脳9.8m/s2脳4m6m脳sin30掳T=15,255.3333NT=1.525脳104N

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