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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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**Educational Content: Understanding Equilibrium Forces**

**Problem Statement:**

In this problem, you place a 100 gram mass on a string and hang it from the table at an angle of 265 degrees. Next, you hang a 200 gram mass from the table at an angle of 195 degrees.

Next, at what angle would you need to place this equilibrium force to achieve a net force of 0? Give your answer to 2 significant figures. We understand the answer means "degrees"; however, do not include "degrees" in your answer. Only type in the number.

**Diagram Explanation:**

The diagram is a circular protractor, marked with degrees from 0 to 360, representing a 360-degree coordinate system. Two vectors are depicted:

1. **Vector \( \vec{F_1} \):** 
   - Direction: Downward from the center.
   - Angle: Marked as 195 degrees on the protractor.
   - Representing the force exerted by the 200 gram mass.

2. **Vector \( \vec{F_2} \):** 
   - Direction: Angled upwards and to the left.
   - Angle: Marked as 265 degrees on the protractor.
   - Representing the force exerted by the 100 gram mass.

For equilibrium, these forces need to be balanced by a third force at a specific angle, achieving a net force of zero.
Transcribed Image Text:**Educational Content: Understanding Equilibrium Forces** **Problem Statement:** In this problem, you place a 100 gram mass on a string and hang it from the table at an angle of 265 degrees. Next, you hang a 200 gram mass from the table at an angle of 195 degrees. Next, at what angle would you need to place this equilibrium force to achieve a net force of 0? Give your answer to 2 significant figures. We understand the answer means "degrees"; however, do not include "degrees" in your answer. Only type in the number. **Diagram Explanation:** The diagram is a circular protractor, marked with degrees from 0 to 360, representing a 360-degree coordinate system. Two vectors are depicted: 1. **Vector \( \vec{F_1} \):** - Direction: Downward from the center. - Angle: Marked as 195 degrees on the protractor. - Representing the force exerted by the 200 gram mass. 2. **Vector \( \vec{F_2} \):** - Direction: Angled upwards and to the left. - Angle: Marked as 265 degrees on the protractor. - Representing the force exerted by the 100 gram mass. For equilibrium, these forces need to be balanced by a third force at a specific angle, achieving a net force of zero.
**Experiment Overview**

You are performing an experiment using the force table shown in the image.

**Experimental Details**

- **Tension Force 1 (\(F_{T1}\))**: 
  - Mass: 0.4 kg
  - Angle: 165° relative to the "x" axis or 0° marker.

- **Tension Force 2 (\(F_{T2}\))**: 
  - Mass: 1 kg
  - Angle: 240°.

**Objective**

Determine the magnitude of tension force 3 (\(F_{T3}\)) required for static equilibrium. Note that \(F_{T3}\) is not shown in the image.

**Instructions**

- Your answer should be in units of Newtons, but do not include "N" in your answer.
- Only numerical answers are accepted.

**Image Description**

The image contains a circular protractor with markings every 10 degrees from 0° to 360°. Two red arrows represent tension forces:
- \(F_{T1}\) is placed at 165°.
- \(F_{T2}\) is placed at 240°.

The forces originate from the center of the protractor, indicating the angles at which they act.
Transcribed Image Text:**Experiment Overview** You are performing an experiment using the force table shown in the image. **Experimental Details** - **Tension Force 1 (\(F_{T1}\))**: - Mass: 0.4 kg - Angle: 165° relative to the "x" axis or 0° marker. - **Tension Force 2 (\(F_{T2}\))**: - Mass: 1 kg - Angle: 240°. **Objective** Determine the magnitude of tension force 3 (\(F_{T3}\)) required for static equilibrium. Note that \(F_{T3}\) is not shown in the image. **Instructions** - Your answer should be in units of Newtons, but do not include "N" in your answer. - Only numerical answers are accepted. **Image Description** The image contains a circular protractor with markings every 10 degrees from 0° to 360°. Two red arrows represent tension forces: - \(F_{T1}\) is placed at 165°. - \(F_{T2}\) is placed at 240°. The forces originate from the center of the protractor, indicating the angles at which they act.
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