Question

A fulcrum moving a resistance of 200 g has a distance to the fulcrum of 20 cm, the effort mass of 50 g has a distance to the fulcrum of 80 cm. The resistance moves 10 cm, the effort moves 40 cm. Calculate the IMA.

0.25
1
4
not enough information given

Answer 1

AMA=4

IMA=4

100% efficient

Answer 2

The ideal mechanical advantage (IMA) is
`4`.

Explanation:

The ideal mechanical advantage is the ratio of length of longer lever
`L_e` to that of shorter lever
`L_r`

IMA
`(L_e)/(L_r)`

Please refer to the image attached.

We could see that the the resistance load moves
`10\ cm` cm towards the fulcrum so the distance of resistance load from fulcrum
`= (20-10) =10\ cm`

Now the as the effort force moves
`40\ cm` towards the fulcrum overall distance from the fulcrum to the effort force (load)
`=(80-40)=40\ cm`

Plugging the values of the distances in IMA formula we can have.

IMA
`=((80-40))/((20-10)) =(40)/(10)  =4`.

So the IMA of the fulcrum (simple machine)
`= 4`