Math Interesting Questions

The Lewis Carroll monkey climbing Rope Fun problem
The mechanics strange question at first glance is very simple, but it is said that it makes Lewis Carroll feel sleepy
Confused As to whether this strange question is the number of Oxford universities known for the Alice in Wonderland
The experts brought it up, it's not clear.
In short, at an unfortunate moment, he consulted people on the following questions:
A rope passes through the frictionless pulley and hangs a 10-pound code at one end,
There was a monkey on the other end of the rope, and the silicon code just struck a balance. When the monkeys start climbing, weights
How it will act.
"It's strange," Carroll wrote, "that many of the best mathematicians give a very different answer."
Price thinks the weights will go up, and the speed is getting faster. Clifton (and Harcourt)
Think, the code will be the same speed as the monkey up, but Sampson said, weight will be to
Fall. ”
An outstanding mechanical engineer said, "It's not going to work better than a fly on a rope," and a
Scientists believe that "the rise or fall of weights will depend on the countdown of the monkeys to eat apples",
And you have to find out the square root of the monkey's tail. Seriously, the subject is very interesting and worthy of recognition.
Really deliberate. It can explain the close connection between the interesting problem and the mechanics question.
(To make the formulation of the question more accurate, it can be assumed that the rope and pulley itself has no weight and
There is no friction. --Martin Gardner)

Sam Lloyd's Math puzzle electronic version

Lewis Carroll (Lewiscarroll), The real name C.L Dodge (c.l.dodgson,1832~1898), a mathematics lecturer at Oxford University College in the United Kingdom, had no noticeable achievement in mathematics, but his outstanding talent in children's literature and in the fields of fun and intellectual games made him famous.