(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 1 of 4:
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: