Chapter 7, Problem 16T

### Elementary Technical Mathematics

12th Edition
Dale Ewen
ISBN: 9781337630580

Chapter
Section

### Elementary Technical Mathematics

12th Edition
Dale Ewen
ISBN: 9781337630580
Textbook Problem

# A man who weighs 200 lb is to be raised by a lever ex- tending under the man 15 in. from the fulcrum. How much force must be applied at a distance of 24 in. from the fulcrum in order to lift him?

To determine

To Calculate: The amount of force required at a distance 24 in from the fulcrum to lift a man who weights 200 lb and the lever used to lift the man is extended 15 in from the fulcrum.

Explanation

Given Information:

The applied force is applied at a distance 24Â in from the fulcrum. The weight of man is 200Â â€‹lb and the lever used to lift the man is extended 15Â in from the fulcrum.

Formula Used:

According to the lever principal relationship:

F1d1=F2d2

Here F1 is force on lever and weight of object situated at d1 from fulcrum, F2 is another force and lever and weight of another object situated at d2 from fulcrum.

Calculation:

Consider weight of the man, distance from the fulcrum to lift a man and the lever used to lift the man is extended 15Â in from the fulcrum.

200Â â€‹lb and 24Â in

Consider F1 is force applied at d1 from fulcrum and F2 is weight of man situated at d2 from fulcrum.

The lever principal relationship is as,

F1d1=F2d2

Substitute d1=24Â in, F1=200Â lb and d2=15Â in in the expression F1d1=F2d2

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