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Find the magnitude of the resultant forces 6N and 8N inclined at an angle 240° to each
other.​

User Alex Lang
by
3.9k points

1 Answer

2 votes

Answer:

F = 7.2N

Step-by-step explanation:

The resultant of two forces acting at some angle is given by using the vector addition as given below

F =√F1^2+F2^2+2F1F2cosθ

Where F1 = 6N and F2 = 8N

θ = 240°

Substituting the values into the equation above

F = √ 6^2+8^2+ 2(6×8)cos240

F =√ 36+64+96cos240

F = √ 100+96 ×-0.5

F = √ 100-48

F = √ 52

F = 7.211

F = 7.2N

User Vsevolod Golovanov
by
3.7k points