# (II) A lever such as that shown in Fig. 6-35 can be used

## Problem 7P Chapter 6

Physics: Principles with Applications | 6th Edition

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Physics: Principles with Applications | 6th Edition

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Problem 7P

(II) A lever such as that shown in Fig. 6-35 can be used to lift objects we might not otherwise be able to lift. Show that the ratio of output force, FO, to input force, FI, is related to the lengths 11 and IO the pivot by FO/FI =MO Ignore friction and the mass of the lever, and assume the work output equals the work input.

Step-by-Step Solution:

Step-by-step solution

Step 1 of 4:

Data:

The output force is

The input force is

The length of a load arm is

The length of a effort arm is

The displacement of the effort arm is

The displacement of the load arm is .

Step 2 of 4:

We have to use assumption from the statement of the problem that the work output equals the work input.

The work input is:

The work output is:

Since the two amount of works are equal we have:

Step 3 of 4

Step 4 of 4

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(II) A lever such as that shown in Fig. 6-35 can be used

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