College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Related questions
Concept explainers
Topic Video
Question
![### Understanding Equilibrium in Physics
#### Problem Description
A 400-N weight hangs from two cables attached to the ceiling, and the system is in static equilibrium. This means the sum of the force vectors acting on the weight is zero. [Note: The figure is not drawn to scale.]
#### Diagram Analysis
- **Cable 1**: Forms an angle \( \theta_1 \) with the ceiling.
- **Cable 2**: Forms an angle \( \theta_2 \) with the ceiling.
- The forces from both cables counteract the weight's downward force, maintaining equilibrium.
#### Angles:
- Cable 1 makes a \( 55^\circ \) angle with the ceiling.
- Cable 2 makes a \( 30^\circ \) angle with the ceiling.
#### Task:
Calculate the magnitude of the force in each cable.
#### Calculation:
- **Variables:**
- Weight (downward force) = 400 N
- Angle \( \theta_1 \) = 55°
- Angle \( \theta_2 \) = 30°
The magnitudes of the forces are calculated based on the equilibrium condition:
- The vertical components of the tension in both cables together balance the weight.
- The horizontal components of the tension must be equal in magnitude but opposite in direction.
#### Solution:
1. **Force in Cable 1**:
\[
\text{Insert formula or solution steps here.}
\]
The magnitude of the force in Cable 1 is: \(\_\_\_\) N
2. **Force in Cable 2**:
\[
\text{Insert formula or solution steps here.}
\]
The magnitude of the force in Cable 2 is: \(\_\_\_\) N
This analysis demonstrates the application of vector components to solve equilibrium problems in physics.](https://content.bartleby.com/qna-images/question/18608e9e-bffe-4b38-84b4-3b337a037743/2c260791-5198-4701-b518-869abab22965/3cn4ygd_processed.jpeg)
Transcribed Image Text:### Understanding Equilibrium in Physics
#### Problem Description
A 400-N weight hangs from two cables attached to the ceiling, and the system is in static equilibrium. This means the sum of the force vectors acting on the weight is zero. [Note: The figure is not drawn to scale.]
#### Diagram Analysis
- **Cable 1**: Forms an angle \( \theta_1 \) with the ceiling.
- **Cable 2**: Forms an angle \( \theta_2 \) with the ceiling.
- The forces from both cables counteract the weight's downward force, maintaining equilibrium.
#### Angles:
- Cable 1 makes a \( 55^\circ \) angle with the ceiling.
- Cable 2 makes a \( 30^\circ \) angle with the ceiling.
#### Task:
Calculate the magnitude of the force in each cable.
#### Calculation:
- **Variables:**
- Weight (downward force) = 400 N
- Angle \( \theta_1 \) = 55°
- Angle \( \theta_2 \) = 30°
The magnitudes of the forces are calculated based on the equilibrium condition:
- The vertical components of the tension in both cables together balance the weight.
- The horizontal components of the tension must be equal in magnitude but opposite in direction.
#### Solution:
1. **Force in Cable 1**:
\[
\text{Insert formula or solution steps here.}
\]
The magnitude of the force in Cable 1 is: \(\_\_\_\) N
2. **Force in Cable 2**:
\[
\text{Insert formula or solution steps here.}
\]
The magnitude of the force in Cable 2 is: \(\_\_\_\) N
This analysis demonstrates the application of vector components to solve equilibrium problems in physics.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- 1 This loudspeaker has a weight of 70 Newtons and is being held up by two cables. Both cables are at an angle of 25 degrees. This means that they both have the same tension, T. What is the vertical component of the tension in each cable? Ty %D unit What is the horizontal component of the tension in each cable? Tx unit What is the total tension in each cable? T = unit %3Darrow_forwardA block having a mass of m = 10.5 kg is suspended via two cables as shown in the figure. The angles shown in the figure are as follows: a = 11° and ẞ=25°. We will label the tension in Cable 1 as 7, and the tension in Cable 2 as T2. What is T2 Cable 1 Cable 2- B marrow_forwardA shop sign weighing 210 N hangs from the end of a uniform 180-N beam as shown in (Figure 1). Figure 35.0% -1.35 m 1.70 m Part A Find the tension in the supporting wire (at 35.0°). Express your answer to three significant figures and include the appropriate units. FT = 395 Submit Part B μA X Incorrect; Try Again FHz = Previous Answers Request Answer N Find the horizontal force exerted by the hinge on the beam at the wall. Express your answer to three significant figures and include the appropriate units. Enter positive value if the direction of the force is to the right and negative value if the direction of the force is to the left. μA Value ? Units P Pearson ?arrow_forward
- Two cables T1 and T2 are used to support a 55kg picture frame. Determine the tension in each cable. e = 30° 9 = 60° B Equation for Forces along x-axis [ Choose] Equation for Forces along y-axis [ Choose ] Value of Weight [Choose ] Value of Tension A [ Choose ] Value of Tension B [ Choose )arrow_forwardPROBLEM SET 06: Interacting Objects, Tension, Pulleys OPEN a T₁= B Find the magnitude of the tension in each of the three cables supporting the traffic light if it weights w=335 N and a = 20°, 8=83. You may click the image to enlarge. Help on how to format answers: units. T₁= T- Turned in automatically when due Instructions Aarrow_forwardsonia- m pject Pool partment... 7 1 1329 2 S X 7. A 7.50 kg block is pressed against a vertical wall by a force (F), as shown in the figure below. The coefficient of static friction between the block and the wall is 0.41 and the directional angle 8 for the force is 50.0°. Determine the magnitude of the force (F) when the block is about to slide down the wall. N 3 E D 80 F C $ 4 R F % 5 V T G (2991109 911 6 ccito coi16 MacBook Air 6: B S Y H & 7 S 63 91129 911539115 91109 91103 911931 92 U N 6 ceiloo cc 16 ecil6 ceiló ccrl6 cc 16. c 8 J ció ecil6 ceil D-Il ER 1 M ( 9 K MOSISO O O 4 19 Parrow_forward
- Question 1-a, Numerical: The next figure shows an 80.0 kg cat burglar at static equilibrium. Assume the angle 8 of the inclined cable is 48.0°, find the tension in the inclined cable (T₁) measured in N. Ꮎ l Larrow_forwardProblem 1: A block having a mass of m is suspended via two cables as shown in the figure. 1 label the tension in Cable 1 as T, and the tension in Cable 2 as T, at respective angles of a Cable 1 Amria - n.amria00@gmail.com Cable 2 → ©the: ertta.com - tracking id: 4N89-D5-49-42-B60E-22939. In accordance with Expert TA's Terms of Service. copying mation to any solutions sharing website is strictly forbidden. Doing so may result in termination of your Expert TA Please use the interactive area below to draw the Free Body Diagram for the block. Grade Add Force Deduct Potenti O Reset All Submi Attemp (3% pe detaile 1 2 3 m F total,x: Ftotal, y:arrow_forwardProblem 4 The upper leg muscle (quadriceps) exerts a force of 1250 N, which is carried by a tendon over the kneecap (the patella) at the angles shown in the figure. Find the direction and magnitude of the force exerted by the kneecap on the femur. Fo = 1250 N 55° 75 Foarrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSON
Introduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press 
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Lecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON