Mechanical Technology Grade 10 Chapter 8 forces

Key Words ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Overview This chapter helps us to understand what forces are and helps us to apply this knowledge to understand how forces act in engineering components. To master this chapter, work step by step and practise as many examples as possible.

Definition of a force ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Pushing or Pulling Forces ,[object Object],[object Object],[object Object]

Representing Forces ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Describing Forces ,[object Object],[object Object],[object Object],6N 5N 4N 7N 135 0 45 0 30 0 30 0 240 0

Describing the Directions in which Forces Act. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],6N 5N 4N 7N 45 0 30 0 60 0 E N W S

Describing the Directions in which Forces Act. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],6N 5N 4N 7N 90 0 210 0 315 0 0 0 60 0

System of Forces ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Parallelogram of Forces ,[object Object],[object Object],resultant Force 2 Force 1 at a point If two forces whose lines of action meet are represented in magnitude and direction by the sides of a parallelogram drawn from one of its angular points,

Working Examples 1 ,[object Object],[object Object],Scale 1 cm = 1 N 6 N R 60° 4 N 36,5° 8,75 N Resultant= 8,75N 36,5 0 north of east

Working Examples 2 ,[object Object],[object Object],[object Object]

Example 2 ,[object Object],[object Object],[object Object],60 N 40 N Scale 1 cm = 10 N 60° 79° 53 N Resultant = 53N 79° south of east Equilibrant = 53N 79° N orth of west

Example 3 ,[object Object],[object Object],[object Object],Scale 1 cm = 50 N 200 N 150 N 135° 48,5° 200 N 150 N R=142 N Resultant = 142N 48,5° south of west

Components of a force ,[object Object],[object Object],P R Q

Components of a force ,[object Object],[object Object],[object Object]

Example ,[object Object],[object Object],[object Object]

Introduction to triangle of forces ,[object Object],[object Object],[object Object]

Definition of triangle of forces ,[object Object],[object Object]

Bow’s notation ,[object Object],[object Object],[object Object],[object Object],[object Object]

Construct a space diagram ,[object Object],[object Object],120° 120° 120° 10N 10N 10N B A C

Construct a force diagram ,[object Object],[object Object],[object Object],[object Object]

Space Diagram to Force Diagram ,[object Object],[object Object],a 120° 120° 120° 10N 10N 10N B A C b c

Example 1 ,[object Object],[object Object],Scale 1cm = 50 N B A C 30° 45° 200N 45° 30° a b c

Example 1 ,[object Object],[object Object],[object Object]

Example 2 ,[object Object],[object Object],[object Object],[object Object],[object Object]

Example 2 ,[object Object],[object Object],800N 1000N 60° N L M

Example 2 ,[object Object],[object Object],800N 1000N 60° N L M m l n

Example 3 ,[object Object],[object Object],[object Object],50N 25N B A C 45° 30° O X

Step 1 ,[object Object],[object Object],[object Object],50N 25N B A C 45° 30° O X c a b

Step 1 ,[object Object],[object Object],c a b It is measured to be 49 N in a direction 78° north of east.

Step 2 ,[object Object],[object Object],[object Object],c a b c a 9.7N 47.8N

Step 2 ,[object Object],[object Object],[object Object],[object Object],[object Object]

Introduction to Polygon of Forces ,[object Object],[object Object],[object Object],[object Object]

Example 1 ,[object Object],[object Object],[object Object],B C A D 45° 90° 75° 50N 100N

Step 1 ,[object Object],B C A D 45° 90° 75° 50N 100N

Step 2 ,[object Object],[object Object],[object Object],B C A D 45° 90° 75° 50N 100N a b c

Step 3 ,[object Object],[object Object],B C A D 45° 90° 75° 50N 100N a b c d

Step 4 ,[object Object],[object Object],[object Object],a b c d

HINTS ,[object Object],[object Object]

Example 2 ,[object Object],90° 60° 75° 100N 90N 75N 150N A C B E D a b c d e Scale 1 cm = 25 N By measuring ea, we find the equilibrant = 116 N , 75° north of east. (As a point of interest, the resultant of the four forces is 116 N in a direction 75° south of west.)

Example 3 ,[object Object],[object Object],[object Object],200N P 90° 45° 75° Q

Example 3 ,[object Object],[object Object],200N P 90° 45° 75° Q E F G H g f h e

Mechanical Technology Grade 10 Chapter 8 forces

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Mechanical Technology Grade 10 Chapter 8 forces