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Physics / College Physics 1 / Chapter 5 / Problem 40

College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs

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To consider the effect of wires hung on poles, we take

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QUESTION:

Problem 40PE

To consider the effect of wires hung on poles, we take data from Example 4.8, in which tensions in wires supporting a traffic light were calculated. The left wire made an angle 30.0º below the horizontal with the top of its pole and carried a tension of 108 N. The 12.0 m tall hollow aluminum pole is equivalent in stiffness to a 4.50 cm diameter solid cylinder. (a) How far is it bent to the side? (b) By how much is it compressed?

Example 4.8:

Consider the traffic light (mass 15.0 kg) suspended from two wires as shown in Figure 4.24. Find the tension in each wire, neglecting the masses of the wires.

Questions & Answers

QUESTION:

Problem 40PE

To consider the effect of wires hung on poles, we take data from Example 4.8, in which tensions in wires supporting a traffic light were calculated. The left wire made an angle 30.0º below the horizontal with the top of its pole and carried a tension of 108 N. The 12.0 m tall hollow aluminum pole is equivalent in stiffness to a 4.50 cm diameter solid cylinder. (a) How far is it bent to the side? (b) By how much is it compressed?

Example 4.8:

Consider the traffic light (mass 15.0 kg) suspended from two wires as shown in Figure 4.24. Find the tension in each wire, neglecting the masses of the wires.

ANSWER:

Problem 40PE

Solution 40 PE

Step 1 of 7:

In this question, we need to find how much the aluminium rod in this question bend and compresses

Data given

Mass of traffic light $m=15\ kg\$

Angle made by the wire $\$ $\theta{}=3{0}^{0}$

Tension $T=108\ N\$

Length of the pole $L=12.0\ m\$

Diameter $d=4.50\ cm=0.045\ m\$

Radius $r=0.0225\ m$

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