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The diagram above shows forces 4N, 6N, 10N and 8N which act at a point O in the ...


Question

The diagram above shows forces 4N, 6N, 10N and 8N which act at a point O in the directions indicated. the net horizontal force is

Options

A) 13N

B) 17N

C) √3N

D) 7√3N


The correct answer is A.

Explanation:

Component of 8N along the horizontal = 8 cos 60o = 8 x 0.5
= 4N
Similarity Component of 6N along the horizontal = 6 cos 60o = 3N
∴ Total force towards the right = 10 + 4 + 3
= 17N
Again total force toward the left = 4N
∴ Net horizontal force (towards the right) = 17-4
= 13N

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Dicussion (1)

  • Component of 8N along the horizontal = 8 cos 60o = 8 x 0.5
    = 4N
    Similarity Component of 6N along the horizontal = 6 cos 60o = 3N
    ∴ Total force towards the right = 10 + 4 + 3
    = 17N
    Again total force toward the left = 4N
    ∴ Net horizontal force (towards the right) = 17-4
    = 13N

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