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What length of rope must the operator pull and what is the ideal mechanical advantage (MA) of the pulley system if the 15 N load is to be raised 1 m? (Assume the rope is sufficiently long to accommodate movement of the load and that all pulleys are frictionless.)

A
1.0 m, MA=3
B
3.0 m, MA=3
C
1.0 m, MA=1/3
D
3.0 m, MA=1/3

please help..

Respuesta :

onyebuchinnaji

The ideal mechanical advantage is 3 and the length of the rope the operator must pull is 3 m

"Your question is not complete, it seems to be missing the following information";

the number of pulleys = 3

The given parameters;

  • load to be raised, L = 15 N
  • distance traveled by the load, d = 1 m
  • number of pulleys = 3

In ideal machine, the efficiency of the machine is 100% and the mechanical advantage will be equal to the velocity ratio.

M.A = V.R

The velocity ratio (VR) in a pulleys system is the number of pulleys;

V.R = 3

The ideal mechanical advantage = V.R = 3

The length of the rope, the operator must pull is calculated as;

[tex]V.R = \frac{distance \ moved \ by \ effort}{distance \ moved \ by \ load} \\\\3 = \frac{e}{1 } \\\\e = 3 \ m[/tex]

Thus, the ideal mechanical advantage is 3 and the length of the rope the operator must pull is 3 m.

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