**Problem 6.82**Determine the components of all forces acting on member \( ABCD \) when \( \theta = 90^\circ \).**Figure Details:**The figure demonstrates a rigid member \( ABCDEF \), pivoted at point \( A \). The member consists of several aligned segments:- A vertical segment \( AB \), measuring 8 inches, attached to a horizontal wall.- A horizontal segment \( BC \), measuring 4 inches.- A diagonal segment \( CD \), measuring 12 inches.- A horizontal segment \( DE \), measuring 4 inches.- A vertical segment \( EF \), measuring 2 inches.The system experiences a 60 lb force acting at point \( F \), directed at an angle \( \theta \).**Geometric Details:**- \( \theta \) is defined as 90 degrees.- Points are labeled sequentially along the member.- The point \( J \) is 6 inches from point \( C \).This diagram represents a typical statics problem where the objective is to resolve forces into their components at a specific angle.

Answered: Image /qna-images/answer/f09196e9-0000-4a06-8c63-29512e288b35.jpg

Answered: 2 in. Ist 8 in. ←4 in.- B A C 12 in.. J…

2 in. Ist 8 in. ←4 in.- B A C 12 in.. J - 6 in. 4 in.. = 60 lb E P F Fig. P6.81 and P6.82 6.82 Determine the components of all forces acting on member ABCD when 0 = 90°.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

**Problem 6.82**

Determine the components of all forces acting on member \( ABCD \) when \( \theta = 90^\circ \).

**Figure Details:**

The figure demonstrates a rigid member \( ABCDEF \), pivoted at point \( A \). The member consists of several aligned segments:

- A vertical segment \( AB \), measuring 8 inches, attached to a horizontal wall.
- A horizontal segment \( BC \), measuring 4 inches.
- A diagonal segment \( CD \), measuring 12 inches.
- A horizontal segment \( DE \), measuring 4 inches.
- A vertical segment \( EF \), measuring 2 inches.

The system experiences a 60 lb force acting at point \( F \), directed at an angle \( \theta \).

**Geometric Details:**

- \( \theta \) is defined as 90 degrees.
- Points are labeled sequentially along the member.
- The point \( J \) is 6 inches from point \( C \).

This diagram represents a typical statics problem where the objective is to resolve forces into their components at a specific angle.

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