Find the net torque (magnitude and direction) produced by the forces F1 (F1 = 17.3 N) and F2 (F2 = 26.1 N) about the rotational axis shown in the drawing. The forces are acting on a thin rigid rod, and the axis is perpendicular to the page. (x = 0.323 m, y = 1.021 m, = 28.6°)

To find the net torque produced by the forces F1 and F2, we need to calculate the torque produced by each force individually and then add them together.

The torque produced by a force can be calculated using the formula:
τ = r * F * sin(θ)

Where:
- τ is the torque
- r is the distance from the axis of rotation to the line of action of the force
- F is the magnitude of the force
- θ is the angle between the force vector and the line connecting the axis of rotation and the point where the force is applied

Let's calculate the torque produced by F1 first:
- r1 = distance from the axis of rotation to the line of action of F1 = √((x1 - x)^2 + (y1 - y)^2)
Here, x1 = 0.323 m, y1 = 1.021 m, x = 0 m, y = 0 m (since the axis of rotation is at the origin)
Therefore, r1 = √((0.323 m - 0 m)^2 + (1.021 m - 0 m)^2)

- θ1 = angle between the force F1 and the line connecting the axis of rotation and the point where the force is applied = 90° - 28.6° (since the force is perpendicular to the page)
Therefore, θ1 = 61.4°

Now we can calculate the torque produced by F1:
τ1 = r1 * F1 * sin(θ1)

Similarly, we can calculate the torque produced by F2:
- r2 = distance from the axis of rotation to the line of action of F2 = √((x2 - x)^2 + (y2 - y)^2)
Here, x2 = 0.323 m, y2 = 1.021 m, x = 0 m, y = 0 m
Therefore, r2 = √((0.323 m - 0 m)^2 + (1.021 m - 0 m)^2)

- θ2 = angle between the force F2 and the line connecting the axis of rotation and the point where the force is applied = 90° - 28.6°
Therefore, θ2 = 61.4°

Now we can calculate the torque produced by F2:
τ2 = r2 * F2 * sin(θ2)

Finally, we can find the net torque by adding the torques produced by F1 and F2:
Net torque = τ1 + τ2

To get the magnitude and direction of the net torque, you can substitute the given values into the formulas and calculate the result.