A man is lifting a 25[kg] dumbbell in his right hand while working out at the gym. Use the information given to: a) Draw and label the free body diagram of all forces on the elbow b) Calculate the force of the bicep using the sum of the moments The following information is given: m = 4[cm] S = 25[kg] s = 35[cm] Beta = 2[degrees] Weight of the arm = 5[kg] Acceleration from gravity, g = 9.8 [m/s^2] |

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### Analysis of Bicep Force During Weightlifting

#### Problem Statement:
A man is lifting a 25 kg dumbbell in his right hand while working out at the gym. Use the following instructions to solve the problem:

1. **Draw and label the free body diagram of all forces on the elbow.**
2. **Calculate the force of the bicep using the sum of the moments.**

#### Given Information:

- Distance `m` = 4 cm
- Weight of the dumbbell `S` = 25 kg
- Distance `s` = 35 cm
- Angle `Beta` = 2 degrees
- Weight of the arm = 5 kg
- Acceleration due to gravity, `g` = 9.8 m/s²

#### Diagrams:
- **Figure 5-1:** Shows how the lever arm of the force vector M' changes with varying elbow angles. This depiction is essential for understanding how position affects force.
  
- **Figure 5-2:** Illustrates the interaction between the external force S (weight of the dumbbell) and muscle force M. It likely indicates the relationship between muscle contraction and force exertion required to lift the weight.

The goal is to assess how these various forces and dimensions influence the mechanical advantage in lifting a dumbbell, which relies on concepts of lever arms and torque.
Transcribed Image Text:### Analysis of Bicep Force During Weightlifting #### Problem Statement: A man is lifting a 25 kg dumbbell in his right hand while working out at the gym. Use the following instructions to solve the problem: 1. **Draw and label the free body diagram of all forces on the elbow.** 2. **Calculate the force of the bicep using the sum of the moments.** #### Given Information: - Distance `m` = 4 cm - Weight of the dumbbell `S` = 25 kg - Distance `s` = 35 cm - Angle `Beta` = 2 degrees - Weight of the arm = 5 kg - Acceleration due to gravity, `g` = 9.8 m/s² #### Diagrams: - **Figure 5-1:** Shows how the lever arm of the force vector M' changes with varying elbow angles. This depiction is essential for understanding how position affects force. - **Figure 5-2:** Illustrates the interaction between the external force S (weight of the dumbbell) and muscle force M. It likely indicates the relationship between muscle contraction and force exertion required to lift the weight. The goal is to assess how these various forces and dimensions influence the mechanical advantage in lifting a dumbbell, which relies on concepts of lever arms and torque.
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