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 experienced by the crooked tooth.
Answer to Problem 1P
The magnitude of the net force experienced by the crooked tooth is
Explanation of Solution
The tension in the wire is
From the figure, the horizontal components of tension are equal and opposite and cancel each other. Thus the net force in the x- direction is zero.
The vertical components of tension are acting in the inward direction
Write the expression for net force in the y-direction.
Here,
Write the expression for the net force on the tooth.
Here,
Conclusion:
Substitute
Therefore, the magnitude of the net force exerted by the wire on the crooked tooth is
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