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

Answer:

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

Step-by-step explanation:

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

IMA $\frac{L_e}{L_r}$

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 $=\frac{(80-40)}{(20-10)} =\frac{40}{10} =4$.

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