The leg and cast in the figure below weigh 175 N (w1). Determine the weight w2 and the angle α needed so that no force is exerted on the hip joint by the leg plus cast.w2 = Nα= ° ### Understanding Forces in a Suspended Limb SystemIn the diagram provided, we examine a medical traction system used to maintain a patient's leg in an elevated position. This system utilizes weights and pulleys to apply controlled forces on the leg, which is wrapped in a cast. Let’s break down the components and their roles in the system:#### Components:1. **Weights**: - A weight of **110 N** is shown hanging on the left side. - Another weight, labeled as **w₂**, is hanging on the right side. - The weight of the leg itself, labeled as **w₁**, exerts a downward force.2. **Pulleys**: - There are two pulleys in the system, one on each side. These pulleys change the direction of the forces applied by the weights.3. **Angles and Directions**: - The tension in the rope that supports the leg is directed at an angle **α**. - An angle of **40 degrees** is shown between the direction of the leg and the rope connecting the left side weight.#### Forces Analysis:- **Tension Force (T)**: The rope creates a tension force that transmits the pulling effect of both hanging weights (110 N and w₂) to the leg.- **Gravitational Force (w₁)**: The weight of the leg pulls downwards due to gravity. This is denoted by the force **w₁**.#### Key Considerations:1. **Balanced Forces**: For the leg to remain stationary and in equilibrium, the sum of forces acting in the horizontal and vertical directions must be zero.2. **Calculation of Unknown Weight (w₂)**: To solve the system, the weight **w₂** can be calculated using principles of static equilibrium, considering the given weight (110 N) and the respective angles.3. **Impact of Angle (α)**: The angle **α** plays a crucial role in determining the components of the tension force in horizontal and vertical directions.#### Graphical Representation:- The diagram provides a clear visualization of how the forces and angles interact to suspend the limb. The use of pulleys alters the direction of the applied forces from vertical to angled, enabling precise control of the limb's position.Understanding the tension forces and equilibrium in this traction system is vital for medical practitioners to ensure the proper healing and comfort of patients.This diagram is a classic example used to

Name: The leg and cast in the figure below weigh 175 N (w1). Determine the w
Uploaded: 2024-03-20T06:56:46.000Z
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Description: The leg and cast in the figure below weigh 175 N (w1). Determine the weight w2 and the angle α needed so that no force is exerted on the hip joint by the leg plus cast.w2 = Nα= ° ### Understanding Forces in a Suspended Limb SystemIn the diagram pro