**Problem 4:**A traffic light hangs from a pole as shown. The uniform aluminum pole AB is 7.50 m long and has a mass of 12.0 kg. The mass of the traffic light is 21.5 kg. Determine A) the tension in the horizontal massless cable CD, and B) the magnitude of the force exerted by the pivot on the aluminum pole at point A.**Diagram Explanation:**The diagram illustrates a traffic light system where:- The pole AB is inclined and of length 7.50 m.- The mass of the pole AB is 12.0 kg.- The traffic light has a mass of 21.5 kg and hangs from point B.- CD is a horizontal massless cable, with point C being vertically above point A at a height of 3.80 m.- The pole AB makes an angle of 37° with the horizontal plane and is supported at point A.Points:- A is the pivot point on the ground.- B is the endpoint of the pole AB holding the traffic light.- C is the point on a vertical structure directly above A.- D is the point on the pole AB where the horizontal cable CD is attached.This system involves analyzing the balance of forces and torques acting on the pole AB due to the masses and tension.

given that,l=7.50 mm=12 kgM=21.5 kgh=3.80 mθ=37°

4an A traffic light hangs from a pole as shown. The uniform aluminum pole AB is 7.50 m long and has a mass of 12.0 kg. The mass of the traffic light is 21.5 kg. Determine A) the tension in the horizontal massless cable CD, and B) the magnitude of the force exerted by the pivot on the aluminum pole at point A. B C 37° 3.80 m A CARMERING 000

4an A traffic light hangs from a pole as shown. The uniform aluminum pole AB is 7.50 m long and has a mass of 12.0 kg. The mass of the traffic light is 21.5 kg. Determine A) the tension in the horizontal massless cable CD, and B) the magnitude of the force exerted by the pivot on the aluminum pole at point A. B C 37° 3.80 m A CARMERING 000

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).

Question

**Problem 4:**

A traffic light hangs from a pole as shown. The uniform aluminum pole AB is 7.50 m long and has a mass of 12.0 kg. The mass of the traffic light is 21.5 kg. Determine

A) the tension in the horizontal massless cable CD, and

B) the magnitude of the force exerted by the pivot on the aluminum pole at point A.

**Diagram Explanation:**

The diagram illustrates a traffic light system where:

- The pole AB is inclined and of length 7.50 m.
- The mass of the pole AB is 12.0 kg.
- The traffic light has a mass of 21.5 kg and hangs from point B.
- CD is a horizontal massless cable, with point C being vertically above point A at a height of 3.80 m.
- The pole AB makes an angle of 37° with the horizontal plane and is supported at point A.

Points:
- A is the pivot point on the ground.
- B is the endpoint of the pole AB holding the traffic light.
- C is the point on a vertical structure directly above A.
- D is the point on the pole AB where the horizontal cable CD is attached.

This system involves analyzing the balance of forces and torques acting on the pole AB due to the masses and tension.

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