**Example 8.6 A Weighted Forearm****Goal:** Apply the equilibrium conditions to the human body.**Problem:** A weight \( W = 47.3 \, \text{N} \) (11 lb) is held in a person's hand with the forearm horizontal, as shown in Figure 8.11. The biceps muscle is attached \( d = 0.0302 \, \text{m} \) from the joint, and the weight is \( l = 0.351 \, \text{m} \) from the joint. Find the upward force \( \vec{F} \) exerted by the biceps on the forearm (the ulna) and the downward force \( \vec{R} \) exerted by the humerus on the forearm, acting at the joint. Neglect the weight of the forearm.**Figure 8.11:**- *(a)* A diagram showing a weight held with the forearm horizontal.- *(b)* The mechanical model for the system. This includes a lever representing the forearm, with distances \( d \) and \( l \) marked. The forces \( \vec{F} \) and \( \vec{R} \) are shown at the appropriate points.**Strategy:** The forces acting on the forearm are equivalent to those acting on a bar of length 0.351 m, as shown in Figure 8.11b. Choose the usual x- and y-coordinates as shown and the axis \( O \) on the left end. Use the conditions of equilibrium to generate equations for the unknowns and solve.**Solution:**1. **Apply the second condition for equilibrium (step 3).** \[ \sum \tau_i = \tau_R + \tau_F + \tau_{BB} = 0 \] \[ R(0) + F(0.0302 \, \text{m}) - (47.3 \, \text{N})(0.351 \, \text{m}) = 0 \] \[ F = \_\_\_\_ \, \text{N} \] **Guidance:** Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. \[ F = \_\_\_\

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Goal Apply the equilibrium conditions to the human body. Humerus Problem A W = 47.3 N (11 lb) weight is held in a person's hand with the forearm horizontal, as in Figure 8.11. The biceps muscle is attached d = 0.0302 m from the joint, and the weight is / = 0.351 m from the joint. Find the upward force F exerted by the biceps on the forearm (the ulna) and the downward force R exerted by the humerus on the forearm, acting at the joint. Neglect the weight of the forearm. W - Biceps Ulna (a) (ь) Figure 8.11 (a) A weight held with the forearm horizontal. (b) The mechanical model for the system.

Goal Apply the equilibrium conditions to the human body. Humerus Problem A W = 47.3 N (11 lb) weight is held in a person's hand with the forearm horizontal, as in Figure 8.11. The biceps muscle is attached d = 0.0302 m from the joint, and the weight is / = 0.351 m from the joint. Find the upward force F exerted by the biceps on the forearm (the ulna) and the downward force R exerted by the humerus on the forearm, acting at the joint. Neglect the weight of the forearm. W - Biceps Ulna (a) (ь) Figure 8.11 (a) A weight held with the forearm horizontal. (b) The mechanical model for the system.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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