Lesson: Resolution of Forces Mathematics

In this lesson, we will learn how to solve problems about the resolution of a force into two directions.

Lesson Plan

Objectives

Students will be able to

understand the definition of the resolution of a force into two given directions,
resolve a force into two components in given directions,
resolve the force created by the weight of a body on an inclined plane into two components that are parallel and perpendicular to the plane,
resolve forces in a real-life context.

Prerequisites

Students should already be familiar with

the sine rule.

Exclusions

Students will not cover

finding the resultant of two or more forces.

Lesson Video

Lesson Explainer

Sample Question Videos

03:23
03:55
03:09

Lesson Worksheet

Q1:

A force of magnitude 190 N acts at the origin making an angle of above the -axis. Find and , its components in the and directions.

Q2:

Resolve a force of 81 N into two perpendicular components and as shown in the figure. Give your answer correct to two decimal places.

Q3:

A body weighing 72 N is placed on a plane that is inclined at to the horizontal. Resolve its weight into two components and , where is the component in the direction of the plane and is the component normal to the plane.