Chapter 8, Problem 33P

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# The chewing muscle, the masseter, is one of the strongest in the human body. It is attached to the mandible (lower jawbone) as shown in Figure P8.33a. The jawbone is pivoted about a socket just in front of the auditory canal. The forces acting on the jawbone are equivalent to those acting on the curved bar in Figure P8.33b. F → C is the force exerted by the food being chewed against the jawbone, T → is the force of tension in the masseter, and R → is the force exerted by the socket on the mandible. Find T → and R → for a person who bites down on a piece of steak with a force of 50.0 N.Figure P8.32Figure P8.33

To determine
The force of tension and the forced exerted by the socket on the mandible.

Explanation

Given info: The force exerted by the food being chewed against jaw is 50.0â€‰N , the distance between the forces Fâ†’C and Tâ†’ is 7.50â€‰cm , distance between the force Tâ†’ and the force Râ†’ is 3.50â€‰cm and the force Râ†’ is 107â€‰N .

Explanation: The torque about an axis that perpendicular to the page through the point where the tension force acts is âˆ‘Ï„=0=l1FCâˆ’l2R . The sum of normal forces on the system is âˆ‘Fy=0=âˆ’Fcâˆ’l2R and from which the force of tension is calculated.

The formula for the force Râ†’ is,

R=l1FCl2

• l1 is distance between the forces Fâ†’C and Tâ†’ .
• l2 is distance between the force Tâ†’ and the force Râ†’ .
• Fâ†’C is force exerted by the food being chewed against jaw

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