Example Question - force analysis

Determining the Resultant Force in Various Configurations

For Prob. F2-1: <p>\( R_x = 6\cos(45^\circ) + 2\sin(45^\circ) \)</p> <p>\( R_y = 6\sin(45^\circ) - 2\cos(45^\circ) \)</p> <p>\( R = \sqrt{R_x^2 + R_y^2} \)</p> <p>\( \theta = \arctan\left(\frac{R_y}{R_x}\right) \)</p> For Prob. F2-2: <p>\( R_x = 500\cos(30^\circ) - 200\sin(60^\circ) \)</p> <p>\( R_y = 500\sin(30^\circ) + 200\cos(60^\circ) \)</p> <p>\( R = \sqrt{R_x^2 + R_y^2} \)</p> For Prob. F2-3: <p>\( R_x = 800\cos(30^\circ) - 600\sin(45^\circ) \)</p> <p>\( R_y = 800\sin(30^\circ) + 600\cos(45^\circ) \)</p> <p>\( R = \sqrt{R_x^2 + R_y^2} \)</p> <p>\( \theta = \arctan\left(\frac{R_y}{R_x}\right) \)</p>