A single fixed pulley and a movable pulley both are separate used to lift a load of 50 kgf to the same height . compare the efforts applied
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Explanation:
We know that in case of a single fixed pulley, the effort applied is equal to the load.
Hence,
E_f = L \\[0.5em]E
f
=L
In the case of a movable pulley the effort needed to lift a load is equal to half the load.
Em = \dfrac{L}{2} \\[0.5em] Em = \dfrac{50 kgf}{2} \\[0.5em] \Rightarrow E_m = 25kgf \\[0.5em]E
m
=
2
L
E
m
=
2
50kgf
⇒E
m
=25kgf
Hence, the ratio of efforts applied by the respective pulley is
\dfrac{Ef}{Em} = \dfrac{2}{1} \\[0.5em]
E
m
E
f
=
1
2
Therefore, Ef : Em = 2 : 1
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