本题目来源于试卷: gc physics textbook chapter 6 problems，类别为 IB物理学
[问答题]
A lever such as that shown in Fig. 6-35 can h+c0 cxn2jw e*a d170kjc(gzvbe used to liff o67g7 (l)gaowv7redi1ws ,/ oksa imp4 bjects we might not otherwise be able to liff. Show that the ratio of output forcd7pi4)o 6 aea/is7vk,ro ggw 1sm7(wle, $F_{\mathrm{O}}$, to input force, $F_{\mathrm{I}}$, is related to the lengths $\iota_\mathrm{I}$ and $\iota_\mathrm{o}$ from the pivot point by $F_{\mathrm{O}}/F_{\mathrm{I}}=l_{\mathrm{I}}/l_{\mathrm{O}}$ (ignoring friction and the mass of the lever), given that the work output equals work input.
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