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Chapter 7: Q. 22 (page 178)

A 2.0kg rope hangs from the ceiling. What is the tension at the midpoint of the rope?

Short Answer

Expert verified

The tension in the midpoint of the rope is9.8N.

Step by step solution

01

Given information

Mass of the rope m=2kg.

02

Explanation

At the midpoint, the tension in the rope is supporting half the weight of the rope. For this, evaluateF and T

F=mg鈥�鈥�1

The tension at the midpoint localid="1649059361867" T=F2鈥�鈥�2

Substituting the values in the equation 1

localid="1649613472744" F=2kg9.8m/s2=19.6N

Substituting the values in the equation 2

localid="1649613456661" T=19.6N2=9.8N

The tension in the midpoint of the rope T=9.8N.

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