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 thato:b 9 gd k+ds+0 kn51mu5jmsup-ua3np ;6xdzstv d) z37ya8n f shown in Fig. 6-35 can be used to liff objects we might not oth 3;ay)vf dn7t68d zzxserwise be able to liff. Show that the ratio of output force, $F_{\mathrm{O}}$, 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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