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A pulley system has a mechanical advantage of 10.
A. If a mover used this pulley to lift a piano with a force of 1450 N a distance of 4 m, how much force must the mover use?
B. How far will eh mover pull the rope?
C. How many ropes support the piano?

Answer :

opudodennis

Answer:

(a) 145 N

(B) 40 N

(c) 10 ropes

Explanation:

Mechanical advantage, [tex]MA=\frac {F_i}{F_o}[/tex] where [tex]F_i[/tex] and [tex]F_o[/tex] are input and output force respectively

Since MA is given as 10 and input force is 1450 N

[tex]F_o=\frac {F_i}{MA}=\frac {1450 N}{10}=145 N[/tex]

Therefore, the mover must use a force of 145 N

(b)

Since also [tex]MA= \frac {L_e}{L_r}[/tex] and the [tex]L_r[/tex] is given as 4 m then

[tex]L_e=L_r\times MA= 4 m\times 10= 40 m[/tex]

(c)

Literally, we need 10 rope segments to support the piano since we utilize the mechanical advantage

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