### Problem 2.11A laborer is hoisting a weight \( W = 200 \, \text{lb} \) by pulling on a rope as shown. Determine the force \( F \) required to hold the weight in the position shown if the resultant of \( F \) and \( W \) acts along the axis of the boom.#### Diagram ExplanationThe diagram shows a lever system attached to a truck. A worker is pulling on a rope that is connected to a boom, which holds a weight of \( W = 200 \, \text{lb} \). The boom forms an angle marked as \( 30^\circ \) with the horizontal plane. Another angle marked as \( 30^\circ \) is between the rope and the boom. The point where the force \( F \) is applied is labeled as point A, and the direction of \( F \) is shown as being along the line of action of the rope.

Given Weight, W = 200 N Find Pulling force, F

Answered: 2.11 A laborer is hois- on a rope as…

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Mechanical Engineering

2.11 A laborer is hois- on a rope as shown. hold the weight in the and W acts along the ax

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Author:Kreith, Frank; Manglik, Raj M.

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Chapter4: Numerical Analysis Of Heat Conduction

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

### Problem 2.11

A laborer is hoisting a weight \( W = 200 \, \text{lb} \) by pulling on a rope as shown. Determine the force \( F \) required to hold the weight in the position shown if the resultant of \( F \) and \( W \) acts along the axis of the boom.

#### Diagram Explanation

The diagram shows a lever system attached to a truck. A worker is pulling on a rope that is connected to a boom, which holds a weight of \( W = 200 \, \text{lb} \). The boom forms an angle marked as \( 30^\circ \) with the horizontal plane. Another angle marked as \( 30^\circ \) is between the rope and the boom. The point where the force \( F \) is applied is labeled as point A, and the direction of \( F \) is shown as being along the line of action of the rope.

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