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Two identical springs, A and B, each with spring constant k = 30.7 N/m, support an object with a weight W = 15 N. Each spring makes an angle of θ = 34.8 degrees to vertical, as shown in the diagram.   (a) Write an expression for the tension in spring A (which is equal to the tension in spring B) in terms of W and θ.   (b) By how much is spring A stretched, in meters?

Two identical springs, A and B, each with spring constant k = 30.7 N/m, support an object with a weight W = 15 N. Each spring makes an angle of θ = 34.8 degrees to vertical, as shown in the diagram.   (a) Write an expression for the tension in spring A (which is equal to the tension in spring B) in terms of W and θ.   (b) By how much is spring A stretched, in meters?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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 Two identical springs, A and B, each with spring constant k = 30.7 N/m, support an object with a weight W = 15 N. Each spring makes an angle of θ = 34.8 degrees to vertical, as shown in the diagram.  

(a) Write an expression for the tension in spring A (which is equal to the tension in spring B) in terms of W and θ.  

(b) By how much is spring A stretched, in meters? 

The image shows a physical setup involving two springs labeled A and B. Both springs are attached to a central weight at their bottom ends. The springs are symmetrically positioned, forming an angle with the vertical axis represented by a dashed line running down the center of the image. Each spring is slightly stretched, indicating tension. The setup suggests that this might be part of an experiment or demonstration involving forces and equilibrium in physics. Key elements in the diagram: - **Springs A and B**: Illustrated with coiled lines, indicating their spring-like nature. - **Central Weight**: A gray, rectangular object hanging from the springs, representing a mass (W). - **Dashed Vertical Line**: Indicates the center of symmetry and the perpendicular axis to the surface where the weight is hanging. - **Angle Markings**: Small circular arcs near the top of the springs, likely representing angles (θ) between the springs and the vertical axis. The image might be utilized to explain equilibrium conditions, forces in physics, or how changing angles affect tension in springs. The task likely involves calculating forces or equilibrium conditions using the variables W and θ.
Transcribed Image Text:The image shows a physical setup involving two springs labeled A and B. Both springs are attached to a central weight at their bottom ends. The springs are symmetrically positioned, forming an angle with the vertical axis represented by a dashed line running down the center of the image. Each spring is slightly stretched, indicating tension. The setup suggests that this might be part of an experiment or demonstration involving forces and equilibrium in physics. Key elements in the diagram: - **Springs A and B**: Illustrated with coiled lines, indicating their spring-like nature. - **Central Weight**: A gray, rectangular object hanging from the springs, representing a mass (W). - **Dashed Vertical Line**: Indicates the center of symmetry and the perpendicular axis to the surface where the weight is hanging. - **Angle Markings**: Small circular arcs near the top of the springs, likely representing angles (θ) between the springs and the vertical axis. The image might be utilized to explain equilibrium conditions, forces in physics, or how changing angles affect tension in springs. The task likely involves calculating forces or equilibrium conditions using the variables W and θ.
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