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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

The distance between two telephone poles is 50.0 m. When a 1.00-kg bird lands on the telephone wire midway between the poles, the wire sags 0.200 m. Draw a free-body diagram of the bird. How much tension does the bird produce in the wire? Ignore the weight of the wire.

To determine
The tension on the wire.

Explanation

Given info: The mass of the bird is 1.00 kg. The distance between the two poles is 50.0 m. The wire sags 0.200 m.

The horizontal cosine components get cancelled. The vertical sine components get added to balance the weight.

The free body diagram is given below.

From the above diagram,

2Tsinθ=mg

  • m is the mass of the car.
  • g is the acceleration due to gravity.
  • T is the tension on the wire.

On re-arranging,

T=mg2sinθ (I)

To calculate the value of θ , consider the following diagram.

From the diagram,

θ=tan1(0.2m25m)=0

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