Dr. Rico DuBuque PhD
Nov 17, 2024
you set up a pulley to help you left something. You anchor the rope at one end and arrange a moveable pulley?
You set up a pulley to assist in lifting a heavy object. One end of the rope is anchored, and you use a movable pulley to achieve a mechanical advantage of 2. If you lift the object 5 meters off the ground, how much rope have you pulled through the pulley?
A. 2 m
B. 5 m
C. 7 m
D. 10 m
7 Answers
Assuming only one pulley, on the object being lifted, then you will have pulled 5 m of rope through that one pulley.
It is interesting that you posted your question in boating. Did you do this to get a sailor's opinion? We use pulleys all the time for rigging sails, etc..., sometimes with multi part pulleys with 6 or even 8 to one ratios.
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RE:
you set up a pulley to help you left something. You anchor the rope at one end and arrange a moveable pulley?
to achieve a mechanical advantage of 2. By the time you have lifted the object 5m off the ground, how much rope have you pulled through the pulley?
A. 2m
B.5m
C.7m
D.10m
I'm not sure which pulley you are referring to. If its the lower pulley the rope has travelled through it 5cm and if its the upper pulley 10cm. That's because the lower pulley is supported by rope on both sides so the rope has to travel 10cm through the upper pulley to lift the lower pulley 5cm.
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Mechanical advantage, distance moved and length of line required with pulleys is a simple mathematical equation. Simply multiply the distance you need to cover with the mechanical advantage factor and you will get the length of line required. In this case, 5m x 2=10m of line required (not including enough to go around the pulleys and to hang on to).
To achieve a mechanical advantage of 2, you need to pull twice as much rope through the pulley as you have lifted the object.
So the correct answer is "D", 10m.
Just remember, you don't get something for nothing. To lift twice as much, you have to lift the same twice as far.
Regards,
Dan
Feb 09, 2025
Don't know but it's called a anchor (rode) not a rope when it's on a boat>
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