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Chapter 12: Q. 60 (page 333)

A 40 kg, 5.0-m-long beam is supported by, but not attached to, the two posts in Figure P12.60. A 20 kg boy starts walking along the beam. How close can he get to the right end of the beam without it falling over?

Short Answer

Expert verified

He can walk up to 1 meter from the end without it falling over .

Step by step solution

01

Given information

Mass of beam = 40 kg,

length of beam = 5.0-m

supported by, but not attached to, the two posts as shown in figure

mass of boy = 20 kg

02

Explanation

First create the diagram as below

Then equate the clockwise and anti-clockwise torque.

Lets assume it can walk upto x m from right end , then solve for x.

Wb×0.5m=W×(2m-xm)40kg×g×0.5m=20kg×g×(2m-xm)x=1m

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