If you hold your arm outstretched with your palm upward, the force to keep your arm from falling comes from your deltoid muscle. Assume that the arm with hand has mass 4.25 kg and the distances and angles shown. What is the magnitude of the torque must the deltoid muscle provide to keep the arm in this position, in N-m? Use g = 10.0 m/s². Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement. 15° Deltoid 17 cm 38 cm

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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**Educational Content: Torque and the Deltoid Muscle**

This image explains the calculation of torque exerted by the deltoid muscle to keep an outstretched arm from falling. 

**Problem Statement:**

When you hold your arm outstretched with your palm upward, your deltoid muscle provides the force needed to prevent the arm from falling. Given that the arm (including the hand) has a mass of 4.25 kg, and the distances and angles are shown in the diagram below, determine the magnitude of the torque the deltoid muscle must supply to maintain the arm's position. Use the acceleration due to gravity, \( g = 10.0 \, \text{m/s}^2 \).

**Instructions:**

- Provide your answer with three significant figures.
- Include a negative sign if necessary.
- Do not add a positive sign for positive answers.
- No need to include a unit in your answer—it is specified in the problem.

**Diagram Explanation:**

The diagram illustrates an arm extended horizontally. The deltoid muscle's force acts upwards at an angle of 15°. The center of mass of the arm is located 38 cm from the shoulder joint, and the deltoid muscle's attachment is 17 cm from the shoulder joint.

The task is to calculate the torque using this configuration, taking into account the mass of the arm, gravity, and the configuration of forces.

This educational module is designed to help students understand how to apply principles of physics to solve problems involving muscular force and torque.
Transcribed Image Text:**Educational Content: Torque and the Deltoid Muscle** This image explains the calculation of torque exerted by the deltoid muscle to keep an outstretched arm from falling. **Problem Statement:** When you hold your arm outstretched with your palm upward, your deltoid muscle provides the force needed to prevent the arm from falling. Given that the arm (including the hand) has a mass of 4.25 kg, and the distances and angles are shown in the diagram below, determine the magnitude of the torque the deltoid muscle must supply to maintain the arm's position. Use the acceleration due to gravity, \( g = 10.0 \, \text{m/s}^2 \). **Instructions:** - Provide your answer with three significant figures. - Include a negative sign if necessary. - Do not add a positive sign for positive answers. - No need to include a unit in your answer—it is specified in the problem. **Diagram Explanation:** The diagram illustrates an arm extended horizontally. The deltoid muscle's force acts upwards at an angle of 15°. The center of mass of the arm is located 38 cm from the shoulder joint, and the deltoid muscle's attachment is 17 cm from the shoulder joint. The task is to calculate the torque using this configuration, taking into account the mass of the arm, gravity, and the configuration of forces. This educational module is designed to help students understand how to apply principles of physics to solve problems involving muscular force and torque.
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