# The largest weight required to balance the plank. ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.6, Problem 76E
To determine

## To find: The largest weight required to balance the plank.

Expert Solution

The largest weight required to balance the plank is 1200 lb.

### Explanation of Solution

Given:

The length of plank is 30 ft with 5 ft of the plank projection over the edge.

The weight of worker is 240 lb sits at the end of the plank.

Formula used: Law of the lever

The product of the weight and its distance from the fulcrum must be same on each side,

w1x1=w2x2

Calculation:

Let the largest weight required to balance the plank be x.

Tabulate the given information into the language of algebra.

 In words In algebra Required weight x Product of weight and distance 5x

Model the equation for the above information.

w1x1=w2x2x×5=240×25

Simplify the above equation for x.

5x=6000x=60005x=1200

Thus, the largest weight required to balance the plank is 1200 lb.

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