Can a Man Swing Across a 50m Canyon with a 30m Grapple Hook?

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A man is tasked with crossing a 50m canyon using a 30m grapple hook secured to a rock. Key considerations include the security of the rock and the attachment point of the rope. The discussion highlights that the question may be incomplete, as it lacks details on the rock's stability and the rope's configuration. Additionally, there is an emphasis on the importance of attempting the problem independently before seeking help. The overall consensus suggests that if the rock is secure and the rope is appropriately positioned, crossing the canyon could be feasible.
godofrock
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Hi guys, I am new here so be gentle please.

I have been set the following question for a problem modelling course.

Homework Statement



A man needs to traverse a canyon of width 50m, he has a grapple hook that is attached to a conveniently placed rock that is 30m long. Can he make it across? He also has a bag full of camping equipment, should he attempt to take this with him?

2. My question

I was wondering if anyone could inform me the general areas of physics/mechanics that will be useful in attempting to solve this problem.

Thanks!
 
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anyone?
 
Welcome to PF!

Hi godofrock! Welcome to PF! :smile:

7 days is a long time … don't wait more than 1 day in future, if nobody answers! :smile:

Is that the full question?

How secure is the rock? Which end is the rope attached to? How long is the rope?

If the rock is secure, and the rope is long enough, I don't see what the problem is (btw, I suspect that's why nobody answered first time round). :confused:
 
The most likely reason nobody answered you for such a long time is that the question seems incomplete as tiny-tim has mentioned. Plus you have asked for assistance without any attempt at the problem your self. See this thread:

https://www.physicsforums.com/showthread.php?t=94379
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
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