(II) Arlene is to walk across a "high wire" strung

Chapter 19, Problem 23P

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QUESTION:

(II) Arlene is to walk across a "high wire" strung horizontally between two buildings  apart. The sag in the rope when she is at the midpoint is , as shown in Fig. . If her mass is , what is the tension in the rope at this point?

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QUESTION:

(II) Arlene is to walk across a "high wire" strung horizontally between two buildings  apart. The sag in the rope when she is at the midpoint is , as shown in Fig. . If her mass is , what is the tension in the rope at this point?

ANSWER:

Solution 23P: When a force is applied at any point on the string, internal force developed inside the wire which is known as tension, and this we have to calculate in this particular situation. Step 1 of 4 Concept: A body is said to be in equilibrium, if summation of all the forces is equal to zero. Figure below shows the free body diagram of the string under tension as per problem. When a force is applied at any point on the string, internal force developed inside the wire which is known as tension which always acts along the rope. At middle point of the string the string is under the action of three forces,as shown in the figure above, 1)Weight of the Arlene mg, acting vertically downward 2) Tension T in the string towards the left point 1 3) Tension T in2the string towards the right point

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