   Chapter 8, Problem 6P

Chapter
Section
Textbook Problem

A dental bracket exerts a horizontal force of 80.0 N on a tooth at point B in Figure P8.6. What is the torque on the root of the tooth about point A? To determine
The torque on the root of the tooth about point A .

Explanation
For torque on the beam about the point A , the perpendicular component of force on the beam is multiplied with their corresponding location.

Given info: The length of the root of the teeth is 1.20cm , the force on the root is 80.0N , and the orientation of the root from vertical line is 48.0° .

The formula for the net torque on the beam is,

τ=rFcosθ

• r is length of the root.
• F is the force on the tooth due to dental bracket.
• b is length of the beam.
• θ is the angle of the force.

Substitute 80.0N for F , 48.0° for θ , and 1.20cm for r to find τ

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