# Violin String Tension and Angle-Dependent Force

Chapter 6, Problem 94GP

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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.

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.

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 $$\theta=4.1^{\circ}$$

##### 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.