The screw eye is subjected to two forces, $\mathbf{F}_1 = 100$ N and $\mathbf{F}_2 = 200$ N. Determine the magnitude and direction of the resultant force. To find the magnitude of the resultant force, we use the formula: $R = \sqrt{F_{1x}^2 + F_{1y}^2 + F_{2x}^2 + F_{2y}^2}$ However, since we do not have the components, we will first find the components of each force. Step 2: Find the components of each force Assuming $\mathbf{F}_1$ acts at an angle of $30^\circ$ from the positive x-axis and $\mathbf{F}_2$ acts at an angle of $60^\circ$ from the positive x-axis.
The final answer is: $\boxed{-10}$
The cable and pulley system is used to lift a weight $W$. Determine the tension $T$ in the cable. Draw a free-body diagram of the pulley system. 2: Write the equations of equilibrium Since the system is in equilibrium, we can write: $\sum F_x = 0$ $\sum F_y = 0$ 3: Solve for T Assuming the tension in the cable is $T$ and there are 3 pulleys, $W = 3T$ $T = \frac{W}{3}$ The screw eye is subjected to two forces,
To get the full solution, better provide one problem at a time with full givens.
The assembly is supported by a journal bearing at $A$, a thrust bearing at $B$, and a short link $CD$. Determine the reaction at the bearings. Draw a free-body diagram of the assembly. 2: Write the equations of equilibrium $\sum F_x = 0$ $\sum F_y = 0$ $\sum F_z = 0$ $\sum M_x = 0$ $\sum M_y = 0$ $\sum M_z = 0$ 3: Solve for reactions Solve the equations simultaneously. Step 2: Find the components of each force
The final answer is: $\boxed{\frac{W}{3}}$
However, without specific values of external forces and distances, a numerical solution is not feasible here. Draw a free-body diagram of the pulley system
The final answer for some of these would require more information.