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Solved: A 75.0-kg wrecking ball hangs from a uniform,
Chapter 5, Problem 3E(choose chapter or problem)
Problem 3E
A 75.0-kg wrecking ball hangs from a uniform, heavy-duty chain of mass 26.0 kg. (a) Find the maximum and minimum tensions in the chain. (b) What is the tension at a point three-fourths of the way up from the bottom of the chain?
Questions & Answers
QUESTION:
Problem 3E
A 75.0-kg wrecking ball hangs from a uniform, heavy-duty chain of mass 26.0 kg. (a) Find the maximum and minimum tensions in the chain. (b) What is the tension at a point three-fourths of the way up from the bottom of the chain?
ANSWER:
Solution 3E
Step 1
(a) The tension on a chain due to its own weight, at a point is given by
Here is measured from the top of the string, is the mass and is the length of the string.
So the total tension will be
Here is the mass of ball.
So the maximum tension will be at , hence the maximum tension is
And the minimum tension will be at , and the minimum tension is