Resolve horizontally and vertically a force f =8 N which makes an angle of 45^@ with the horizontal.
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horizontal component = 4√2 N and vertical component= 4√2 N
we have to resolve force horizontally and vertically.
see figure, here force of magnitude F = 8N is inclined at an angle 45° with the horizontal (x - axis).
horizontal component of Force = Fcos45°
= 8 × 1/√2 = 4√2 N
vertical component of force = Fsin45°
= 8 × 1/√2 = 4√2 N
also vector form of force, F = (4√2)i + (4√2)j
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