An elderly man is picking up a Christmas gift from underneath the family tree. Use the information given in the picture and below to solve problem 3. a) Draw a free body diagram of the lower-back b) Calculate the low back muscle force
An elderly man is picking up a Christmas gift from underneath the family tree. Use the information given in the picture and below to solve problem 3. a) Draw a free body diagram of the lower-back b) Calculate the low back muscle force
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:### Educational Overview: Analyzing Lower Back Mechanics
#### Diagram Explanation
The diagram illustrates the forces and mechanics involved when an elderly man picks up a gift from beneath a tree. The man is bent over, holding a box, and several forces are acting on his body:
- **F_MUSC**: Muscle force acting along the spine.
- **F_COMP**: Compressive force acting parallel to the spine.
- **F_A**: Resultant force at an angle alpha (α) to the horizontal.
- **mg_BW**: Weight of the body acting downwards.
- **mg_L**: Weight of the load (gift) being held.
- **E**: Location of the muscle’s insertion.
- **SHEAR**: Shear force acting at the lower back.
- **a, b, h**: Geometric parameters representing moment arms and distances.
Other annotations include the cutting plane, indicating the cross-section of interest, and horizontal reference lines for angle measurements.
#### Problem Context
In this scenario, the objective is to analyze the forces at play in the lower back using given parameters:
1. **Draw a Free Body Diagram**: Illustrate and label all forces acting on the lower-back.
2. **Calculate the Low Back Muscle Force**: Use the provided data to determine the required muscle force.
#### Given Data
- Alpha (α) = 45 degrees
- Moment arm of back muscles (a) = 4 cm
- Distance to body's center of gravity (b) = 18 cm
- Height to load (h) = 34 cm
- Mass of the load = 4 kg
- Mass of the torso = 40 kg
- Acceleration due to gravity = 9.8 m/s²
This problem requires understanding of biomechanics and physics, specifically in calculating moments and considering equilibrium to solve for the forces involved.
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