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Pulling the rope A rope with mass density σ kg/m lies in a heap at the edge of a table. One end of the rope initially sticks out an infinitesimal distance from the heap. You grab this end and...

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Pulling the rope

A rope with mass density σ kg/m lies in a heap at the edge of a table. One end of the rope initially sticks out an infinitesimal distance from the heap. You grab this end and accelerate it downward with acceleration a. Assume that there is no friction of the rope with itself as it unravels. As a function of time, what force does your hand apply to the rope? Find the value of a that makes your force always equal to zero.

 

Answered Same Day Dec 25, 2021

Solution

David answered on Dec 25 2021
113 Votes
Solution:-
Consider the length l unravels from heap.
Acceleration of chain=a (given)
So, Consider time to unravels the length is t.
2
2
2
2 2
2
1
2
( )
1
2
2
, [ . ]
2 2
1
( )
2
0,
l at
mass per unit length given
Total mass in length l m l at
at g
Weight of this length...
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