# components of a force

## 004 Components of a 3D force with given angles

**Problem 004**

Referring to Fig. 1.4, determine the angle between vector A and the y-axis.

A. 65.7°

B. 73.1°

C. 67.5°

D. 71.3°

## 003 Components of a 3D force with given distances

**Problem 003**

Which of the following correctly defines the 500 N force that passes from A(4, 0, 3) to B(0, 6, 0)?

A. 256**i** - 384**j** + 192**k** N

B. -256**i** + 384**j** - 192**k** N

C. -384**i** + 192**j** - 256**k** N

D. 384**i** - 192**j** + 256**k** N

## 002 Components of forces with given slope

**Problem 002**

Compute the x and y components of each of the four forces shown in Fig. P-002.

## 001 Horizontal and vertical componets of planar forces

**Problem 001**

Problem Determine the x and y components of the forces shown below in Fig P-001.

## Components of a Force

Forces acting at some angle from the the coordinate axes can be resolved into mutually perpendicular forces called *components*. The component of a force parallel to the x-axis is called the x-component, parallel to y-axis the y-component, and so on.

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## Resultant of Concurrent Force System

Resultant of a force system is a force or a couple that will have the same effect to the body, both in translation and rotation, if all the forces are removed and replaced by the resultant.

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