You are the Grand Engineer for the Island Nation of Bthththx (pronounced as written). Each year, on the last day of summer, a new Knightship of Bthththx is awarded to the winner of the Very Serious Skipping and Clapping Race, in which participants (18 years of age and older) must skip and clap through a full lap around the island's perimeter, adhering to the rather strict regulations of the National Skipping and Clapping Federation. The race begins when the Venerable Leader of Bthththx plucks a single note on the Most Perfect Plucking Instrument, which consists of a single 1mm thick platinum wire stretched between two points on a solid gold frame, as shown in the picture. To achieve the proper note, the wire must be at a tension of 800N. On the morning of the race, you notice the temperature is a chilly 5 degrees Celcius but that the temperature is forecast to rise to 25 degrees Celcius by 2pm when the race starts. It is your duty as Grand Engineer to set the tension of the wire, so that it will play just the right note when plucked at 2pm. To what tension should you set it? Hint: Assume that the expansion of the gold is unaffected by the presence of the wire. You do not ed ow length of wire. It would be helpful if you do the Mastering Physics question with the brass rod and wires before this question.

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
icon
Related questions
Question
Question 1:
You are the Grand Engineer for the Island Nation of Bthththx (pronounced as written). Each
year, on the last day of summer, a new Knightship of Bthththx is awarded to the winner of the
Very Serious Skipping and Clapping Race, in which participants (18 years of age and older) must
skip and clap through a full lap around the island's perimeter, adhering to the rather strict
regulations of the National Skipping and Clapping Federation.
The race begins when the Venerable Leader of Bthththx plucks a single note on the Most
Perfect Plucking Instrument, which consists of a single 1mm thick platinum wire stretched
between two points on a solid gold frame, as shown in the picture. To achieve the proper note,
the wire must be at a tension of 800N. On the morning of the race, you notice the temperature
is a chilly 5 degrees Celcius but that the temperature is forecast to rise to 25 degrees Celcius by
2pm when the race starts. It is your duty as Grand Engineer to set the tension of the wire, so
that it will play just the right note when plucked at 2pm. To what tension should you set it?
Hint: Assume that the expansion of the gold is unaffected by the presence of the wire. You do
not need to know the length of the wire. It would be helpful if you do the Mastering Physics
question with the brass rod and wires before this question.
Transcribed Image Text:Question 1: You are the Grand Engineer for the Island Nation of Bthththx (pronounced as written). Each year, on the last day of summer, a new Knightship of Bthththx is awarded to the winner of the Very Serious Skipping and Clapping Race, in which participants (18 years of age and older) must skip and clap through a full lap around the island's perimeter, adhering to the rather strict regulations of the National Skipping and Clapping Federation. The race begins when the Venerable Leader of Bthththx plucks a single note on the Most Perfect Plucking Instrument, which consists of a single 1mm thick platinum wire stretched between two points on a solid gold frame, as shown in the picture. To achieve the proper note, the wire must be at a tension of 800N. On the morning of the race, you notice the temperature is a chilly 5 degrees Celcius but that the temperature is forecast to rise to 25 degrees Celcius by 2pm when the race starts. It is your duty as Grand Engineer to set the tension of the wire, so that it will play just the right note when plucked at 2pm. To what tension should you set it? Hint: Assume that the expansion of the gold is unaffected by the presence of the wire. You do not need to know the length of the wire. It would be helpful if you do the Mastering Physics question with the brass rod and wires before this question.
chocolate
Icm
marshmallow
2cm
0.2cm
←
graham cracker
Question 2
In your first assignment as Chief Dessert Engineer for the United Cookie Corporation, you design a
cookie whose interior is a layer of marshmallow surrounded by a ring of chocolate. The top and bottom
are round graham crackers, to which the marshmallow and chocolate are attached securely.
After the graham crackers are attached, and the entire cookie is in equilibrium at 10°C, there is no
stress in the marshmallow or chocolate. The chocolate will separate from the graham cracker if the
(vertical) tensile stress in the chocolate exceeds 1.3 x 10³ Pa. What is the maximum temperature
increase the cookies can withstand without the chocolate separating?
chocolate separating
ΔΤ
Marshmallow: Y = 1.0 x 104 Pa, α = 0.0025K-¹ Chocolate: Y = 1.5 x 105 Pa and a = 0.0010K-¹
Assume the graham cracker does not bend and ignore effects related to expansion in the horizontal
directions.
Transcribed Image Text:chocolate Icm marshmallow 2cm 0.2cm ← graham cracker Question 2 In your first assignment as Chief Dessert Engineer for the United Cookie Corporation, you design a cookie whose interior is a layer of marshmallow surrounded by a ring of chocolate. The top and bottom are round graham crackers, to which the marshmallow and chocolate are attached securely. After the graham crackers are attached, and the entire cookie is in equilibrium at 10°C, there is no stress in the marshmallow or chocolate. The chocolate will separate from the graham cracker if the (vertical) tensile stress in the chocolate exceeds 1.3 x 10³ Pa. What is the maximum temperature increase the cookies can withstand without the chocolate separating? chocolate separating ΔΤ Marshmallow: Y = 1.0 x 104 Pa, α = 0.0025K-¹ Chocolate: Y = 1.5 x 105 Pa and a = 0.0010K-¹ Assume the graham cracker does not bend and ignore effects related to expansion in the horizontal directions.
Expert Solution
steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Knowledge Booster
Atomic Diffusion in Solids
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