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Chapter 6: Q.58 (page 157)

A person with compromised pinch strength in his fingers can exert a force of only6.0Nto either side of a pinched object, such as the book shown in FIGURE P6.58. What is the heaviest book he can hold vertically before it slips out of his fingers? The coefficient of static friction between his fingers and the book cover is 0.80.

FIGURE P6.58

Short Answer

Expert verified

The weight of the heaviest book is 0.979kg.

Step by step solution

01

Given.

The maximum force that fingers can exert: 6N.

Coefficient of static friction between friction and book:0.80.

02

Formula used.

F=mgFf=μN=μmg

03

Calculation

The maximum force exerted by each finger is there are two normal forces on either side of the book that is in xdirection. So

The friction force, that tries to hold the book Ff=2μsn.

The downward force, F=mmaxg.

For the heaviest book that can behold vertically before it slips out of his finger can be calculated by equating both the equations.

Ff=Fmmaxg=2μsnmmax=2μsng=2×0.8×69.8=0.979kg

The weight of the heaviest book is 0.979Kg.

04

Conclusion.

The weight of the heaviest book that can behold vertically before it slips out of his fingers is 0.979kg.

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