A force of 200N acts at an angle of 140° with respect to the positive x- direction. determine the components of this force in the x- and y- direction

The components of the force in the x and y-direction are -153.21 N and 128.56 N respectively.

Explanation:

Rectangular components of a vector

Given a vector as an ordered pair (f,θ), where f is the magnitude of the vector and θ is the angle it forms with the positive x-direction, the rectangular components of the vector are given by:

The force of f=200N forms an angle of θ=140°. The components of the force are:

Calculating:

The components of the force in the x and y-direction are -153.21 N and 128.56 N respectively.

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