Question

Determine the resultant R of the two forces applied to the bracket.

Write R in terms of unit vectors along the x- and y-axes shown.

Answer 1

The written form of R in terms of unit vectors along the x- and y-axes shown are; R Cos θ and R sin θ respectively.

Resolving forces along the x- and y-axes

Given that the force R, which is the resultant of the unit vectors given has magnitude R;

It follows that the resolved form of unit vector, R along the x- and y- axes is;

• R(x) = R Cos θ

• R(y) = R sin θ.

Where, angle measure, θ = angle subtended by the resultant force with the horizontal.

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