Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
1. The figure below shows a view from above of a large boat in the middle of the ocean. So that the crew on the ship can get exercise on long journeys, there is a circular walking/running track on the back deck. Suppose that the radius of the track is R = 6 m, and a person is running on the track at a constant speed of v = 3 m/s as measured with a stopwatch by a crew-mate on board the ship. Suppose the runner is running counter-clockwise around the track when viewed from above. Write the velocity vector of the runner in terms of basis (ĉ1, ê2) as perceived by a crew-mate on the ship. (a) What is the velocity vector when the runner is at point A? (b) What is the velocity vector when the runner is at point B? (c) What is the velocity vector when the runner is at point C? (d) What is the velocity vector when the runner is at point D? 2. Now consider the same ship passing through the Panama Canal (not Suez) at a constant speed of 8 m/s. As the ship is passing through the canal, the runner is running at the same constant rate around the track. See the figure on the next page. Suppose there is a person on firm ground, on the side of the canal, watching the runner. From this bystander's perspective, what is the velocity of the runner? Use the expression in (2) to answer the following sub-questions. Show how you obtained your answers. (a) What is the velocity vector when the runner is at point A? (b) What is the velocity vector when the runner is at point B?

1. The figure below shows a view from above of a large boat in the middle of the ocean. So that the crew on the ship can get exercise on long journeys, there is a circular walking/running track on the back deck. Suppose that the radius of the track is R = 6 m, and a person is running on the track at a constant speed of v = 3 m/s as measured with a stopwatch by a crew-mate on board the ship. Suppose the runner is running counter-clockwise around the track when viewed from above. Write the velocity vector of the runner in terms of basis (ĉ1, ê2) as perceived by a crew-mate on the ship. (a) What is the velocity vector when the runner is at point A? (b) What is the velocity vector when the runner is at point B? (c) What is the velocity vector when the runner is at point C? (d) What is the velocity vector when the runner is at point D? 2. Now consider the same ship passing through the Panama Canal (not Suez) at a constant speed of 8 m/s. As the ship is passing through the canal, the runner is running at the same constant rate around the track. See the figure on the next page. Suppose there is a person on firm ground, on the side of the canal, watching the runner. From this bystander's perspective, what is the velocity of the runner? Use the expression in (2) to answer the following sub-questions. Show how you obtained your answers. (a) What is the velocity vector when the runner is at point A? (b) What is the velocity vector when the runner is at point B?

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
See similar textbooks
icon
Related questions
Question
Tp = Fq +°P/Q• (1) Here ip/Q is the "position of point P relative to point Q." Similarly the velocities of the two points are related by õp = bq + Up/Q- (2) The quantity õp/Q is the velocity of point P relative to point Q. I want you to use these ideas to solve the following problems. 1. The figure below shows a view from above of a large boat in the middle of the ocean. So that the crew on the ship can get exercise on long journeys, there is a circular walking/running track on the back deck. CA B- -D Suppose that the radius of the track is R = 6 m, and a person is running on the track at a constant speed of v = 3m/s as measured with a stopwatch by a crew-mate on board the ship. Suppose the runner is running counter-clockwise around the track when viewed from above. Write the velocity vector of the runner in terms of basis (ê1, ê2) as perceived by a crew-mate on the ship. (a) What is the velocity vector when the runner is at point A? (b) What is the velocity vector when the runner is at point B? (c) What is the velocity vector when the runner is at point C? (d) What is the velocity vector when the runner is at point D? 2. Now consider the same ship passing through the Panama Canal (not Suez) at a constant speed of 8 m/s. As the ship is passing through the canal, the runner is running at the same constant rate around the track. See the figure on the next page. Suppose there is a person on firm ground, on the side of the canal, watching the runner. From this bystander's perspective, what is the velocity of the runner? Use the expression in (2) to answer the following sub-questions. Show how you obtained your answers. (a) What is the velocity vector when the runner is at point A? (b) What is the velocity vector when the runner is at point B?
Transcribed Image Text:Tp = Fq +°P/Q• (1) Here ip/Q is the "position of point P relative to point Q." Similarly the velocities of the two points are related by õp = bq + Up/Q- (2) The quantity õp/Q is the velocity of point P relative to point Q. I want you to use these ideas to solve the following problems. 1. The figure below shows a view from above of a large boat in the middle of the ocean. So that the crew on the ship can get exercise on long journeys, there is a circular walking/running track on the back deck. CA B- -D Suppose that the radius of the track is R = 6 m, and a person is running on the track at a constant speed of v = 3m/s as measured with a stopwatch by a crew-mate on board the ship. Suppose the runner is running counter-clockwise around the track when viewed from above. Write the velocity vector of the runner in terms of basis (ê1, ê2) as perceived by a crew-mate on the ship. (a) What is the velocity vector when the runner is at point A? (b) What is the velocity vector when the runner is at point B? (c) What is the velocity vector when the runner is at point C? (d) What is the velocity vector when the runner is at point D? 2. Now consider the same ship passing through the Panama Canal (not Suez) at a constant speed of 8 m/s. As the ship is passing through the canal, the runner is running at the same constant rate around the track. See the figure on the next page. Suppose there is a person on firm ground, on the side of the canal, watching the runner. From this bystander's perspective, what is the velocity of the runner? Use the expression in (2) to answer the following sub-questions. Show how you obtained your answers. (a) What is the velocity vector when the runner is at point A? (b) What is the velocity vector when the runner is at point B?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Basic Terminology in Mechanics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY
SEE MORE TEXTBOOKS