Question - Determining the Resultant Force in Various Configurations
Solution:
For Prob. F2-1:
\( R_x = 6\cos(45^\circ) + 2\sin(45^\circ) \)
\( R_y = 6\sin(45^\circ) - 2\cos(45^\circ) \)
\( R = \sqrt{R_x^2 + R_y^2} \)
\( \theta = \arctan\left(\frac{R_y}{R_x}\right) \)
For Prob. F2-2:\( R_x = 500\cos(30^\circ) - 200\sin(60^\circ) \)
\( R_y = 500\sin(30^\circ) + 200\cos(60^\circ) \)
\( R = \sqrt{R_x^2 + R_y^2} \)
For Prob. F2-3:\( R_x = 800\cos(30^\circ) - 600\sin(45^\circ) \)
\( R_y = 800\sin(30^\circ) + 600\cos(45^\circ) \)
\( R = \sqrt{R_x^2 + R_y^2} \)
\( \theta = \arctan\left(\frac{R_y}{R_x}\right) \)
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