In a pulley system, a 5-newton weight is to be lifted 2 meters. The rope is pulled 10 meters. The input force is two newtons.

The IMA = .

The AMA = .

The efficiency = %.

Respuesta :

The answers to the problem are as follows:

MA= 5 

IMA= input distance/ output distance, 5 

AMA= output force/ input force, 5/2


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Explanation:

It is given that,

Input force, [tex]F_i=2\ N[/tex]

Output force, [tex]F_o=5\ N[/tex]

Input distance, [tex]d_i=10\ N[/tex]

Output distance, [tex]d_o=2\ N[/tex]

1. IMA of a machine is the ratio of input distance to the output distance. It is given by :

[tex]IMA=\dfrac{d_i}{d_o}=\dfrac{10}{2}=5[/tex]

2. AMA is the actual mechanical advantage of the machine. It is the ratio of output force to the input force. It is given by :

[tex]AMA=\dfrac{F_o}{F_i}=\dfrac{5}{2}[/tex]

3. The efficiency of the machine is the percentage of output work to the input work.

[tex]\eta=\dfrac{W_o}{W_i}\times 100[/tex]

[tex]\eta=\dfrac{F_o\times d_o}{F_i\times d_i}\times 100[/tex]

[tex]\eta=\dfrac{5\times 2}{2\times 10}\times 100[/tex]

[tex]\eta=50\%[/tex]

Hence, this is the required solution.

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