What is the net torque about the axle on the pulley in? Express your answer in newton-meters.

To solve for the net torque about the axle on the pulley, we need additional details such as the forces acting on the pulley, the radius from the axle to the point of application of these forces, and the angles at which the forces are applied. Assuming we have this information, here's a general step-by-step method to calculate the net torque:

1. ### Break Down the Problem

1. Identify the forces acting on the pulley.
2. Determine the distances from the axle to the line of action of each force (lever arms).
3. Identify the angles between the force vectors and the lever arms.

2. ### Relevant Concepts

• The torque ($\tau$) generated by a force can be calculated using the formula: $\tau = r \times F \times \sin(\theta)$ where:
  • $r$ is the lever arm (distance from the axle to where the force is applied),
  • $F$ is the force applied,
  • $\theta$ is the angle between the force vector and the lever arm.

3. ### Analysis and Detail

1. Calculate the torque for each force acting on the pulley.
   • For each force $F_i$ applied at a distance $r_i$ with angle $\theta_i$: $\tau_i = r_i \cdot F_i \cdot \sin(\theta_i)$
2. Determine the direction of each torque (clockwise or counterclockwise) and apply the appropriate sign convention (usually counterclockwise is positive).
3. Sum the torques to find the net torque: $\text{Net Torque} = \sum \tau_i$

4. ### Verify and Summarize

• After calculating each torque, check for signs (positive or negative based on direction) and ensure all values are summed correctly.
• Summarize the net torque obtained from the calculations.

Final Answer

Without specific numerical values or functions provided for the forces, lever arms, and angles, I cannot provide a specific numerical answer. Please provide these details for a complete calculation.