A meter stick with a mass of 0.57 kg is held perpendicular to a vertical wall by a cord of length d= 1.8 m attached to the end of the meter stick and also to the wall above the other end of the meter stick. (a) Determine the tension in the cord. x Where is a good point about which to take the torques? Which condition of equilibrium will allow us to write an expression that will allow us to determine the tension in the cord? See if you can obtain an expression for the tension T in the cord in terms of the mass m of the meter stick, the acceleration due to gravity g, and the angle 8 between the direction of the force and displacement vector. Be careful which angle you use when writing an expression for the torque due to the tension in the cord. N (b) Will the tension in the cord will be greater than, less than, or the same as that found in part (a) if the string is shortened? To clarify, when the string is shortened, the location where the string is attached to the wall is lowered so that the meter stick remains horizontal. greater than less than the same as X In part (a) we obtained an expression for the tension 7 in the cord in terms of the mass m of the meter stick, the acceleration due to gravity g, and the angle 8 between the direction of the force and displacement vector. What happens to the angle as the string is shortened? See if you can examine this expression for the tension in order to determine what happens to the tension as the angle is changed due to changing the length of the cord.
A meter stick with a mass of 0.57 kg is held perpendicular to a vertical wall by a cord of length d= 1.8 m attached to the end of the meter stick and also to the wall above the other end of the meter stick. (a) Determine the tension in the cord. x Where is a good point about which to take the torques? Which condition of equilibrium will allow us to write an expression that will allow us to determine the tension in the cord? See if you can obtain an expression for the tension T in the cord in terms of the mass m of the meter stick, the acceleration due to gravity g, and the angle 8 between the direction of the force and displacement vector. Be careful which angle you use when writing an expression for the torque due to the tension in the cord. N (b) Will the tension in the cord will be greater than, less than, or the same as that found in part (a) if the string is shortened? To clarify, when the string is shortened, the location where the string is attached to the wall is lowered so that the meter stick remains horizontal. greater than less than the same as X In part (a) we obtained an expression for the tension 7 in the cord in terms of the mass m of the meter stick, the acceleration due to gravity g, and the angle 8 between the direction of the force and displacement vector. What happens to the angle as the string is shortened? See if you can examine this expression for the tension in order to determine what happens to the tension as the angle is changed due to changing the length of the cord.
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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![**Problem:**
A meter stick with a mass of 0.57 kg is held perpendicular to a vertical wall by a cord of length \( d = 1.8 \, \text{m} \) attached to the end of the meter stick and also to the wall above the other end of the meter stick.
**(a) Determine the tension in the cord.**
- Where is a good point about which to take the torques?
- Which condition of equilibrium will allow us to write an expression that will allow us to determine the tension in the cord?
- See if you can obtain an expression for the tension \( T \) in the cord in terms of the mass \( m \) of the meter stick, the acceleration due to gravity \( g \), and the angle \( \theta \) between the direction of the force and displacement vector.
- Be careful which angle you use when writing an expression for the torque due to the tension in the cord.
- **N**
**(b) Will the tension in the cord be greater than, less than, or the same as that found in part (a) if the string is shortened?**
- To clarify, when the string is shortened, the location where the string is attached to the wall is lowered so that the meter stick remains horizontal.
- [ ] greater than
- [x] less than
- [ ] the same as
**Explanation:**
- In part (a) we obtained an expression for the tension \( T \) in the cord in terms of the mass \( m \) of the meter stick, the acceleration due to gravity \( g \), and the angle \( \theta \) between the direction of the force and displacement vector.
- What happens to the angle \( \theta \) as the string is shortened? See if you can examine this expression for the tension in order to determine what happens to the tension as the angle \( \theta \) is changed due to changing the length of the cord.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd1eeb19b-bc03-422a-9621-10baa4d8ba0f%2F5685df5a-6d47-49ea-8093-221d444e1a29%2Ffh7ely8_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem:**
A meter stick with a mass of 0.57 kg is held perpendicular to a vertical wall by a cord of length \( d = 1.8 \, \text{m} \) attached to the end of the meter stick and also to the wall above the other end of the meter stick.
**(a) Determine the tension in the cord.**
- Where is a good point about which to take the torques?
- Which condition of equilibrium will allow us to write an expression that will allow us to determine the tension in the cord?
- See if you can obtain an expression for the tension \( T \) in the cord in terms of the mass \( m \) of the meter stick, the acceleration due to gravity \( g \), and the angle \( \theta \) between the direction of the force and displacement vector.
- Be careful which angle you use when writing an expression for the torque due to the tension in the cord.
- **N**
**(b) Will the tension in the cord be greater than, less than, or the same as that found in part (a) if the string is shortened?**
- To clarify, when the string is shortened, the location where the string is attached to the wall is lowered so that the meter stick remains horizontal.
- [ ] greater than
- [x] less than
- [ ] the same as
**Explanation:**
- In part (a) we obtained an expression for the tension \( T \) in the cord in terms of the mass \( m \) of the meter stick, the acceleration due to gravity \( g \), and the angle \( \theta \) between the direction of the force and displacement vector.
- What happens to the angle \( \theta \) as the string is shortened? See if you can examine this expression for the tension in order to determine what happens to the tension as the angle \( \theta \) is changed due to changing the length of the cord.
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