A certain orthodontist uses a wire brace to align a patient’s crooked tooth as in Figure P5.1. The tension in the wire is adjusted to have a magnitude of 18.0 N. Find the magnitude of the net force exerted by the wire on the crooked tooth.
Figure P5.1
The magnitude of the net force exerted by the wire on the crooked tooth.
Answer to Problem 1P
The magnitude of the net force exerted by the wire on the crooked tooth is
Explanation of Solution
Given info: The tension in the wire is
From the Figure, the vertical components of tension are acted inward direction in the wire brace and a normal force just acts upward to align the patient’s crooked tooth. Hence, this normal force represents the net force exerted by the wire on the crooked tooth.
The summation of the forces along
Here,
Substitute
Conclusion:
Therefore, the magnitude of the net force exerted by the wire on the crooked tooth is
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