EXAMPLE 1.6.3 A block shown in Figure 1.6.2 is resting on an incline of slope \( 5: 12 \). It is subjected to a force \( \mathrm{F}=200 \mathrm{kN} \) on a slope 3:4. Determine the rectangular components of the force in (a) the horizontal and vertical directions, and (b) in the direction parallel and perpendicular to the incline.
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The slope 3:4 corresponds to a triangle with sides 3 and 4, so the angle can be found using the tangent function: tan(θ) = 3/4 θ = arctan(3/4) = 36.87 degrees (a) The horizontal and vertical components of the force can be found using the sine and cosine Show more…
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