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A force vector with magnitude R and making an angle α with the x-axis is having its component along x-axis and y-axis as:

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+2 votes
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in Engineering Mechanics by (701k points)
A force vector with magnitude R and making an angle α with the x-axis is having its component along x-axis and y-axis as:

(a) Rcosine (α) and Rsine(α)

(b) Rcosine (180-α) and Rsine(α)

(c) Rcosine (180-α) and Rsine(180+α)

(d) Rcosine (α) and Rsine(180+α)

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I'm obligated to ask this question of Addition of a System of Coplanar Forces in portion Force Vectors of Engineering Mechanics

1 Answer

+1 vote
by (1.1m points)
The correct option is (a) Rcosine (α) and Rsine(α)

To explain: The component along the x-axis is the cosine component of the vector. And the y-axis component of the vector is sine component, if the angle is being made with the x-axis. And 180- α for some of the trigonometric function may change their sign.

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