Explanation Given data: A person is suspended by ropes tied to two trees. One rope makes an angle of 45 ° with the ground and the other makes an angle of 30 ° . Consider the rope that makes an angle of 30 ° with the ground is tied to the left side tree and the rope that makes an angle of 45 ° with the ground is tied to the right side tree. Weight of the person ( w ) is 560 N. Formula used: Write the expression for equilibrium equation of tension force for the x -component as follows. ∑ F x = 0 (1) Here, ∑ F x is the sum of the forces in the x -component. Write the expression for equilibrium equation of tension force for the y -component as follows. ∑ F y = 0 (2) Here, ∑ F y is the sum of the forces in the y -component. Explanation: From the given data, draw the figure as shown in Figure 1. From Figure 1, writ the values of angles made by the rope with the ground (horizontal) as follows. θ left = 30 ° θ right = 45 ° From the Newton’s first law, the sum of the forces acts on the riders towards each component ( x -component and y -component) is zero. Modify the expression in equation (1) for the forces in the x -component as follows. ( T left ) x + ( T right ) x = 0 (3) Here, ( T left ) x is the tension force T left (tension force in the left side rope) in the x -component, and ( T right ) x is the tension force T right (tension force in the right side rope) in the x -component. From the given figure, write the tension force ( T left ) x as follows. ( T left ) x = − T left cos ( θ left ) From the figure, write the tension force ( T right ) x as follows. ( T right ) x = T right cos ( θ right ) Substitute [ − T left cos ( θ left ) ] for ( T left ) x , and T right cos ( θ right ) for ( T right ) x in equation (4), [ − T left cos ( θ left ) ] + [ T right cos ( θ right ) ] = 0 T left cos ( θ left ) = T right cos ( θ right ) Write the expression for tension in the right side rope as follows. T right = T left [ cos ( θ left ) cos ( θ right ) ] Substitute 30 ° for θ left , and 45 ° for θ right , T right = T left [ cos ( 30 ° ) cos ( 45 ° ) ] = T left ( 0.8660 0.7071 ) T right = 1.2247 T left (4) Modify the expression in equation (2) for the forces in the y -component as follows. ( T left ) y + ( T right ) y − w = 0 (5) Here, ( T left ) y is the tension force T left in the y -component, ( T right ) y is the tension force T right in the y -component, and w is the weight of the person

16th Edition

ISBN: 9781323515303

Author: Knight

Publisher: PEARSON C

See similar textbooks

Question

Chapter 5, Problem 7P

To determine

To find: The tension in each of the ropes.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 5, Problem 6P

Chapter 5, Problem 8P

Students have asked these similar questions

220 V is supplied to 800 primary turns of an autotransformer. What will the outputvoltage be across 200 secondary turns? 2. A filament transformer has a turns ratio of 1:20. What current must be supplied to theprimary windings if 5 A is required by the filament? 3. The filament transformer in the previous question is supplied with 150 V to theprimary side. What is the secondary voltage? 4. 440 V is supplied to 1000 primary turns of an autotransformer. If the desired outputvoltage is 100 V how many secondary turns must be tapped?

Please solve and answer thw question correctly please. Thank you!!

Please solve and answer the question correctly. Thank you!!

Chapter 5 Solutions

COLLEGE PHY2053 W/MODIFIED ACCESS>BI<

Ch. 5 - An object is subject to two forces that do not...Ch. 5 - Are the objects described here in static...Ch. 5 - Prob. 3CQ Ch. 5 - Prob. 4CQ Ch. 5 - An astronaut takes his bathroom scale to the moon...Ch. 5 - A light block of mass m and a heavy block of mass...Ch. 5 - a. Can the normal force on an object be directed...Ch. 5 - A ball is thrown straight up. Taking the drag...Ch. 5 - You are going sledding with your friends, sliding...Ch. 5 - Suppose you are holding a box in front of you and...

Ch. 5 - You are walking up an icy slope. Suddenly your...Ch. 5 - Three objects move through the air as shown in...Ch. 5 - Prob. 13CQ Ch. 5 - Raindrops can fall at different speeds; some fall...Ch. 5 - An airplane moves through the air at a constant...Ch. 5 - Is it possible for an object to travel in air...Ch. 5 - For Questions 17 through 20, determine the tension...Ch. 5 - For Questions 17 through 20, determine the tension...Ch. 5 - For Questions 17 through 20, determine the tension...Ch. 5 - For Questions 17 through 20, determine the tension...Ch. 5 - In Figure Q5.21, block 2 is moving to the right....Ch. 5 - The wood block in Figure Q5.22 is at rest on a...Ch. 5 - Prob. 23MCQ Ch. 5 - Prob. 24MCQ Ch. 5 - Prob. 25MCQ Ch. 5 - While standing in a low tunnel, you raise your...Ch. 5 - A 5.0 kg dog sits on the floor of an elevator that...Ch. 5 - A 3.0 kg puck slides due east on a horizontal...Ch. 5 - Eric has a mass of 60 kg. He is standing on a...Ch. 5 - Prob. 30MCQ Ch. 5 - A football player at practice pushes a 60 kg...Ch. 5 - Two football players are pushing a 60 kg blocking...Ch. 5 - Land Rover ads used to claim that their vehicles...Ch. 5 - A truck is traveling at 30 m/s on a slippery road....Ch. 5 - The three ropes in Figure P5.1 are tied to a...Ch. 5 - Prob. 2P Ch. 5 - Prob. 3P Ch. 5 - A construction crew would like to support a 1000...Ch. 5 - When you bend your knee, the quadriceps muscle is...Ch. 5 - An early submersible craft for deep-sea...Ch. 5 - Prob. 7P Ch. 5 - A 65 kg student is walking on a slackline, a...Ch. 5 - Prob. 9P Ch. 5 - The forces in Figure P5.10 are acting on a 2.0 kg...Ch. 5 - The forces in Figure P5.11 are acting on a 2.0 kg...Ch. 5 - A horizontal rope is tied to a 50 kg box on...Ch. 5 - Prob. 13P Ch. 5 - In a head-on collision, a car stops in 0.10 s from...Ch. 5 - An astronauts weight on earth is 800 N. What is...Ch. 5 - A woman has a mass of 55.0 kg. a. What is her...Ch. 5 - Prob. 17P Ch. 5 - a. How much force does an 80 kg astronaut exert on...Ch. 5 - It takes the elevator in a skyscraper 4.0 s to...Ch. 5 - Riders on the Power Tower are launched skyward...Ch. 5 - Zach, whose mass is 80 kg, is in an elevator...Ch. 5 - Prob. 22P Ch. 5 - Figure P5.23 shows the velocity graph of a 75 kg...Ch. 5 - Prob. 24P Ch. 5 - A 23 kg child goes down a straight slide inclined...Ch. 5 - Prob. 26P Ch. 5 - Two workers are sliding a 300 kg crate across the...Ch. 5 - A 4000 kg truck is parked on a 7.0 slope. How big...Ch. 5 - A 1000 kg car traveling at a speed of 40 m/s skids...Ch. 5 - It is friction that provides the force for a car...Ch. 5 - The rolling resistance for steel on steel is quite...Ch. 5 - Prob. 34P Ch. 5 - Prob. 35P Ch. 5 - Prob. 36P Ch. 5 - Prob. 38P Ch. 5 - Prob. 40P Ch. 5 - A 1000 kg car pushes a 2000 kg truck that has a...Ch. 5 - A 2200 kg truck has put its front bumper against...Ch. 5 - Blocks with masses of 1.0 kg, 2.0 kg, and 3.0 kg...Ch. 5 - Prob. 44P Ch. 5 - Prob. 45P Ch. 5 - Prob. 46P Ch. 5 - Each of 100 identical blocks sitting on a...Ch. 5 - A 500 kg piano is being lowered into position by a...Ch. 5 - Dana has a sports medal suspended by a long ribbon...Ch. 5 - Prob. 51GP Ch. 5 - Your forehead can withstand a force of about 6.0...Ch. 5 - A 50 kg box hangs from a rope. What is the tension...Ch. 5 - Prob. 54GP Ch. 5 - A 50 kg box hangs from a rope. What is the tension...Ch. 5 - A fisherman has caught a very large, 5.0 kg fish...Ch. 5 - Riders on the Tower of Doom, an amusement park...Ch. 5 - Prob. 58GP Ch. 5 - Seat belts and air bags save lives by reducing the...Ch. 5 - Prob. 60GP Ch. 5 - A 20,000 kg rocket has a rocket motor that...Ch. 5 - Youve always wondered about the acceleration of...Ch. 5 - Prob. 63GP Ch. 5 - An impala is an African antelope capable of a...Ch. 5 - Josh starts his sled at the top of a 3.0-m-high...Ch. 5 - Prob. 67GP Ch. 5 - Prob. 68GP Ch. 5 - Prob. 69GP Ch. 5 - Prob. 70GP Ch. 5 - Prob. 71GP Ch. 5 - Prob. 72GP Ch. 5 - Prob. 73GP Ch. 5 - Its possible for a determined group of people to...Ch. 5 - Prob. 75GP Ch. 5 - Prob. 77GP Ch. 5 - Prob. 79GP Ch. 5 - Prob. 80GP Ch. 5 - Prob. 82GP Ch. 5 - Prob. 83GP Ch. 5 - Prob. 84GP Ch. 5 - MCAT-Style Passage Problems Sliding on the Ice In...Ch. 5 - MCAT-Style Passage Problems Sliding on the Ice In...Ch. 5 - MCAT-Style Passage Problems Sliding on the Ice In...Ch. 5 - MCAT-Style Passage Problems Sliding on the Ice In...

Knowledge Booster