Solved: A 75.0-kg wrecking ball hangs from a uniform,

Chapter 5, Problem 3E

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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?

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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

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