What is the IMA of the following pulley system?

Answer: [tex]IMA= \frac {F_r}{F_e}[/tex]
Explanation:
IMA stands for Ideal Mechanical advantage.
The IMA of pulley system can be defined as the ratio of output force to input force.
From the given pulley system,
The input force = [tex]F_e[/tex]
The output force = [tex]F_r[/tex]
Hence, IMA of the given pulley system,
[tex]IMA= \frac {F_r}{F_e}[/tex]
IMA of the following pulley system, in the absence of friction force is the ratio of force applied by block F(r) to force required to pull rope as,
IMA=F(r)/F(e).
The IMA (Ideal mechanical advantage) is the ratio between the output force to the input force of a mechanical system. The friction force is not considered in the IMA (Ideal mechanical advantage).
Given information-
The force applied by the block is F(r) in the downward direction.
The force by which the rope is pulled is F(e).
The force applied by the block is F(r) in the downward direction. This block is pulled up by the rope in the shown pulley system. Thus this is the output force we get in this mechanical system of pulley and block.
The force by which the rope is pulled is F(e). As this force is required to lift the block. Thus this is the input force of the pulley system.
As, the IMA (Ideal mechanical advantage) is the ratio between the output force to the input force of a mechanical system.
Therefore the IMA of the given pulley system is,
IMA=F(r)/F(e).
Hence, the IMA of the following pulley system, in the absence of friction force is the ratio of force applied by block F(r) to the force required to pull rope as,
IMA=F(r)/F(e).
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