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Order the torques exerted on the bolts in the illustrated scenarios, from largest to smallest. Assume that ?=45°θ=45° , and that the wrench and the magnitude of the force ?F are the same in each case.

Order the torques exerted on the bolts in the illustrated scenarios, from largest to smallest. Assume that ?=45°θ=45° , and that the wrench and the magnitude of the force ?F are the same in each case.

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
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Order the torques exerted on the bolts in the illustrated scenarios, from largest to smallest. Assume that ?=45°θ=45° , and that the wrench and the magnitude of the force ?F are the same in each case.

The image displays an "Answer Bank" consisting of four diagrams, each showing a wrench with a force \( F \) applied at an angle \( \theta \). The diagrams illustrate different angles of force application, impacting the torque exerted by the wrench: 1. **First Diagram**: The force vector \( F \) is perpendicular to the wrench, illustrating maximum torque production as the angle \( \theta = 90^\circ \). 2. **Second Diagram**: The force vector \( F \) is applied at an angle \( \theta \) less than \( 90^\circ \) relative to the wrench, showing a scenario with reduced torque as the perpendicular component of the force is lessened. 3. **Third Diagram**: Similar to the second, the force vector \( F \) is at an angle \( \theta \) less than \( 90^\circ \), but different from the previous one, providing variation in the angle to explore its effect on torque. 4. **Fourth Diagram**: The force vector \( F \) is applied parallel to the wrench, at an angle \( \theta = 0^\circ \), resulting in no torque since the line of action passes through the pivot point. This section of the educational material emphasizes understanding how the angle of force application impacts the resulting torque. The examples illustrate the relationship between angle and torque efficiency, suitable for studies on rotational dynamics.
Transcribed Image Text:The image displays an "Answer Bank" consisting of four diagrams, each showing a wrench with a force \( F \) applied at an angle \( \theta \). The diagrams illustrate different angles of force application, impacting the torque exerted by the wrench: 1. **First Diagram**: The force vector \( F \) is perpendicular to the wrench, illustrating maximum torque production as the angle \( \theta = 90^\circ \). 2. **Second Diagram**: The force vector \( F \) is applied at an angle \( \theta \) less than \( 90^\circ \) relative to the wrench, showing a scenario with reduced torque as the perpendicular component of the force is lessened. 3. **Third Diagram**: Similar to the second, the force vector \( F \) is at an angle \( \theta \) less than \( 90^\circ \), but different from the previous one, providing variation in the angle to explore its effect on torque. 4. **Fourth Diagram**: The force vector \( F \) is applied parallel to the wrench, at an angle \( \theta = 0^\circ \), resulting in no torque since the line of action passes through the pivot point. This section of the educational material emphasizes understanding how the angle of force application impacts the resulting torque. The examples illustrate the relationship between angle and torque efficiency, suitable for studies on rotational dynamics.
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