P-10: Three forces act on the bracket. Determine the magnitude and direction \( \theta \) of \( F_{2} \) so that the resultant force is directed along the positive \( u \) axis and has a magnitude of \( 50 \mathrm{~N} \).
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Step 1
First, we need to find the components of the given forces along the u and v axes. For F1: F1u = F1 * cos(30) = 20 * cos(30) = 20 * (3/2) = 30 N F1v = F1 * sin(30) = 20 * sin(30) = 20 * (1/2) = 10 N For F3: F3u = F3 * cos(60) = 40 * cos(60) = 40 * (1/2) = 20 Show more…
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