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°

Force with given angle from z-axis


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. 256i - 384j + 192k N
B. -256i + 384j - 192k N
C. -384i + 192j - 256k N
D. 384i - 192j + 256k 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 Forces in XY Plane


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.

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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