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Question Number 31957 by Tinkutara last updated on 17/Mar/18

Commented by Tinkutara last updated on 17/Mar/18

In this question two answers are possible. Are both correct?

Answered by ajfour last updated on 19/Mar/18

If 10N force is load, ((load)/(effort))= mech. adv. effort=((load)/(mech. adv.))=((10N)/(100)) = 0.1N effort arm×effort= load arm×load ⇒ effort arm =((20cm×10N)/(0.1N))=20m if 10N = effort ((load)/(effort))= mech. adv. ⇒ load = 10N×100 = 1000N effort arm×effort= load arm×load ⇒ load arm = ((20cm×10N)/(1000N))= 2mm .

$${If}\:\mathrm{10}{N}\:{force}\:{is}\:{load}, \\ $$$$\frac{{load}}{{effort}}=\:{mech}.\:{adv}. \\ $$$${effort}=\frac{{load}}{{mech}.\:{adv}.}=\frac{\mathrm{10}{N}}{\mathrm{100}}\:=\:\mathrm{0}.\mathrm{1}{N} \\ $$$${effort}\:{arm}×{effort}=\:{load}\:{arm}×{load} \\ $$$$\Rightarrow\:{effort}\:{arm}\:=\frac{\mathrm{20}{cm}×\mathrm{10}{N}}{\mathrm{0}.\mathrm{1}{N}}=\mathrm{20}{m} \\ $$$${if}\:\mathrm{10}{N}\:=\:{effort} \\ $$$$\frac{{load}}{{effort}}=\:{mech}.\:{adv}. \\ $$$$\Rightarrow\:{load}\:=\:\mathrm{10}{N}×\mathrm{100}\:=\:\mathrm{1000}{N} \\ $$$${effort}\:{arm}×{effort}=\:{load}\:{arm}×{load} \\ $$$$\Rightarrow\:{load}\:{arm}\:=\:\frac{\mathrm{20}{cm}×\mathrm{10}{N}}{\mathrm{1000}{N}}=\:\mathrm{2}{mm}\:. \\ $$

Commented by Tinkutara last updated on 19/Mar/18

Thank you Sir! Is it always specified in these types of questions effort and load arm?

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