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In each of five scenarios, a 1 kg1 kg mass is attached to the end of a massless stick by a massless string. Each stick is motionless. Rank the torques acting on each stick due to the tension in the attached string. Take the axis of rotation in each case to be the end of the stick opposite the string. Select the ranking order of the torques

In each of five scenarios, a 1 kg1 kg mass is attached to the end of a massless stick by a massless string. Each stick is motionless. Rank the torques acting on each stick due to the tension in the attached string. Take the axis of rotation in each case to be the end of the stick opposite the string. Select the ranking order of the torques

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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In each of five scenarios, a 1 kg1 kg mass is attached to the end of a massless stick by a massless string. Each stick is motionless. Rank the torques acting on each stick due to the tension in the attached string. Take the axis of rotation in each case to be the end of the stick opposite the string. 

Select the ranking order of the torques

1)B=E=D=A=CB=E=D=A=C

2)D=A>E=B>CD=A>E=B>C

3)B>E>D>A>CB>E>D>A>C

4)D>A>E=B>CD>A>E=B>C

5)E=B>D>A>CE=B>D>A>C

6)B>E=C>D=AB>E=C>D=A

7)C=B=E>D=A

### Understanding Torque in Different Scenarios The image illustrates three scenarios (A, B, and C) involving a lever and a weight, each depicting a different angle of force application, which is essential for understanding the concept of torque. **Scenario A:** - The lever is at an angle to the horizontal, with the weight suspended below. - This demonstrates how the angle affects the rotational force or torque applied to the pivot point. **Scenario B:** - The lever is horizontal, extending straight out from the pivot. - This scenario shows the maximum torque effect as the perpendicular distance between the line of force and the pivot is greatest. **Scenario C:** - The lever is vertical, positioned directly above the pivot point. - In this setup, the lever has no perpendicular component to the pivot, showing minimal or zero torque effect on the rotation at this angle. ### Key Concepts - **Torque** is the measure of the force that can cause an object to rotate about an axis. It is dependent on the force applied, the distance from the pivot, and the angle of application. - The diagrams highlight how the orientation of the lever affects the torque experienced by an object.
Transcribed Image Text:### Understanding Torque in Different Scenarios The image illustrates three scenarios (A, B, and C) involving a lever and a weight, each depicting a different angle of force application, which is essential for understanding the concept of torque. **Scenario A:** - The lever is at an angle to the horizontal, with the weight suspended below. - This demonstrates how the angle affects the rotational force or torque applied to the pivot point. **Scenario B:** - The lever is horizontal, extending straight out from the pivot. - This scenario shows the maximum torque effect as the perpendicular distance between the line of force and the pivot is greatest. **Scenario C:** - The lever is vertical, positioned directly above the pivot point. - In this setup, the lever has no perpendicular component to the pivot, showing minimal or zero torque effect on the rotation at this angle. ### Key Concepts - **Torque** is the measure of the force that can cause an object to rotate about an axis. It is dependent on the force applied, the distance from the pivot, and the angle of application. - The diagrams highlight how the orientation of the lever affects the torque experienced by an object.
### Transcription and Explanation #### Image Description The image contains two scenarios labeled "Scenario D" and "Scenario E." - **Scenario D**: - This illustration shows a lever with a short horizontal arm on the left side attached to a vertical arm. There is a weight hanging from the end of the vertical arm. - **Scenario E**: - This illustration shows a lever similar to Scenario D, but the horizontal arm is longer. The vertical arm is attached in a similar fashion, with a weight hanging from the end of the vertical arm. #### Analysis Both scenarios demonstrate the basic operation of a lever. - In **Scenario D**, the shorter horizontal arm means that less torque is generated when weight is applied. This scenario might require more effort to lift the weight compared to Scenario E. - In **Scenario E**, the longer horizontal arm increases the distance from the pivot point, thus increasing the torque available to lift the weight with lesser effort compared to Scenario D. #### Educational Context This illustration is useful for teaching students about levers, a simple type of machine that operates on the principle of moments (torque). Students can learn how the length of the lever arm influences the effort needed to lift a load, illustrating the concept of mechanical advantage in levers.
Transcribed Image Text:### Transcription and Explanation #### Image Description The image contains two scenarios labeled "Scenario D" and "Scenario E." - **Scenario D**: - This illustration shows a lever with a short horizontal arm on the left side attached to a vertical arm. There is a weight hanging from the end of the vertical arm. - **Scenario E**: - This illustration shows a lever similar to Scenario D, but the horizontal arm is longer. The vertical arm is attached in a similar fashion, with a weight hanging from the end of the vertical arm. #### Analysis Both scenarios demonstrate the basic operation of a lever. - In **Scenario D**, the shorter horizontal arm means that less torque is generated when weight is applied. This scenario might require more effort to lift the weight compared to Scenario E. - In **Scenario E**, the longer horizontal arm increases the distance from the pivot point, thus increasing the torque available to lift the weight with lesser effort compared to Scenario D. #### Educational Context This illustration is useful for teaching students about levers, a simple type of machine that operates on the principle of moments (torque). Students can learn how the length of the lever arm influences the effort needed to lift a load, illustrating the concept of mechanical advantage in levers.
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