Suppose a rope that is hanging by one end from the ceiling has a large inertia.

Question

Suppose a rope that is hanging by one end from the ceiling has a large inertia.

Part A) Is the tension in the rope uniform throughout the length?

No. The tension in the upper portion of the rope will be much higher than the tension in the lower part. No. The tension in the middle portion of the rope will be much higher than the tension in the upper and lower parts. No. The tension in the lower portion of the rope will be much higher than the tension in the upper part. Yes. The tension in the rope is uniform throughout the length.

Explanation / Answer

Answer is Option A - Tension in the Upper portion of the rope is much higher than that in the lower portion.

This is because it is given in the question that the rope has a large Inertia which means its mass per unit length is high. So the upper portion of the rope has to pull the weight of the rope of the lower potion. As a result tension will be much more in the upper half.

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