58. The horizontal component of vector ā is equal to
the vertical component of vector 6. If 30° is the
angle made by ä with its vertical axis and that made
by b with its horizontal axis, then calculate the value
of b in terms of a
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58. The horizontal component of vector ā is equal to
the vertical component of vector 6. If 30° is the
angle made by ä with its vertical axis and that made
by b with its horizontal axis, then calculate the value
of b in terms of a
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Let Vector is R,
∴ Vertical Component V=Rsin(θ) .......1
Horizontal Component H=Rcos(θ) .......2
Given that V=H,
Divide the equations 1 by 2,
⇒
cos(θ)
sinθ)
=
H
V
⇒tan(θ)=1,
∴θ=45