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Violin String Tension and Angle-Dependent Force
Chapter 6, Problem 94GP(choose chapter or problem)
The tension in a violin string is 2.7 N. When pushed down against the neck of the violin, the string makes an angle of \(4.1^{\circ}\) with the horizontal. (a) With what force must you push down on the string to bring it into contact with the neck? (b) If the angle were less than \(4.1^{\circ}\), would the required force be greater than, less than, or the same as in part (a)? Explain.
Questions & Answers
QUESTION:
The tension in a violin string is 2.7 N. When pushed down against the neck of the violin, the string makes an angle of \(4.1^{\circ}\) with the horizontal. (a) With what force must you push down on the string to bring it into contact with the neck? (b) If the angle were less than \(4.1^{\circ}\), would the required force be greater than, less than, or the same as in part (a)? Explain.
ANSWER:
Step 1 of 3:
Part (a)
A violin string is pushed down against the neck of the violin with a force. \(\theta\) is the angle below the horizontal. We are going to find the force applied to push the string.
The tension in the string \(T = 2.7 N\)
The angle \(\theta=4.1^{\circ}\)
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Violin String Tension and Angle-Dependent Force
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Discover the physics behind violin string tension and the angle-dependent force required when pushing it against the neck. Explore how the angle affects the force needed.