3. A tight-rope walker walks across a tight rope. (a) Would the tension in the rope change depending on the sag of the rope? (b) Under what condition would the tension in the rope be the most? (c) Under what condition would the tension in the rope be the least?
Answer:
a)
As per the given statement,
Explanation:
As the rope walker walks on the rope, there will be a sag created on the rope. It depends on the weight the rope the sag changes accordingly. As sag(the curveness of the rope) increases, the angle made by the tangent to the curve at the bottom most point of the sag to the horizontal increases.
As angle made by it increases, hence least forces(tension) is required to balance the weight of the rope walker.
Thus,
Yes, As per the above explanation, The Tension in the rope changes depending on the sag of the Rope.
b)
The conditions that the tension in the rope would be the most is discussed below:
Here,
Let us take angle made by it is For , there will be no vertical components to balance the weight of the rope walker. So, therefore the tension will be the most.
Thus,
We conclude that When the rope is perfectly horizontal then the tension in the rope will be most.
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