In a Salvador Dali painting, a silver dinner tray has grown legs and starts running with a bowling pin on top of the tray. The coefficients of static and kinetic friction between the pin and the tray/legs are μs = 0.3 µk = 0.22, respectively. The dimensions and masses of the tray/legs and bowling pin are shown in the figure. a) Find the maximum acceleration of the legs 1₁5 cm 12 = 5 cm so that the bowling pin does not slip on the tray. b) c) Find the maximum acceleration of the legs so that the bowling pin does not tip over. Assume that the pin tips before it slips, and that the value of the acceleration at which tipping occurs is 2.1 m/s² (It isn't). For this acceleration, i. find the value of the force the ground exerts on the foot (both normal and friction), and ii. find the value of the frictional force between the tray and the bowling pin. mpin= 1.6 kg mlegs = 40 kg h1 = 15 cm h₂ = 12 cm h3 = 30 cm Ans: a) 2 m/s² < |ax| ≤ 3.5 m/s² b) 32 ≤|ax| ≤ 472 m
In a Salvador Dali painting, a silver dinner tray has grown legs and starts running with a bowling pin on top of the tray. The coefficients of static and kinetic friction between the pin and the tray/legs are μs = 0.3 µk = 0.22, respectively. The dimensions and masses of the tray/legs and bowling pin are shown in the figure. a) Find the maximum acceleration of the legs 1₁5 cm 12 = 5 cm so that the bowling pin does not slip on the tray. b) c) Find the maximum acceleration of the legs so that the bowling pin does not tip over. Assume that the pin tips before it slips, and that the value of the acceleration at which tipping occurs is 2.1 m/s² (It isn't). For this acceleration, i. find the value of the force the ground exerts on the foot (both normal and friction), and ii. find the value of the frictional force between the tray and the bowling pin. mpin= 1.6 kg mlegs = 40 kg h1 = 15 cm h₂ = 12 cm h3 = 30 cm Ans: a) 2 m/s² < |ax| ≤ 3.5 m/s² b) 32 ≤|ax| ≤ 472 m
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
Related questions
Question
![Problem 20.2
In a Salvador Dali painting, a silver dinner tray has grown legs and starts running with a bowling pin on top
of the tray. The coefficients of static and kinetic friction between the pin and the tray/legs are μs = 0.3
Mk = 0.22, respectively. The dimensions and masses of the tray/legs and bowling pin are shown in the
figure.
1₁5 cm 12 = 5 cm
a) Find the maximum acceleration of the legs
so that the bowling pin does not slip on the
tray.
b)
c)
Find the maximum acceleration of the legs
so that the bowling pin does not tip over.
Assume that the pin tips before it slips, and
that the value of the acceleration at which
tipping occurs is 2.1 m/s² (It isn't). For this
acceleration,
i. find the value of the force the ground
exerts on the foot (both normal and
friction), and
ii. find the value of the frictional force
between the tray and the bowling pin.
mpin = 1.6 kg
mlegs = 40 kg
h1 = 15 cm
h2 = 12 cm
h3 = 30 cm
Ans: a) 2 m/s² ≤|ax| ≤ 3.5 m/s²
b) 37 1/2 ≤|ax| ≤ 47/7/22](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6abec00c-0df5-4c95-bf6e-fd605cb914b4%2F480fb45e-d6a4-4ab7-85d2-5900e3555f17%2Fh0a9rg_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 20.2
In a Salvador Dali painting, a silver dinner tray has grown legs and starts running with a bowling pin on top
of the tray. The coefficients of static and kinetic friction between the pin and the tray/legs are μs = 0.3
Mk = 0.22, respectively. The dimensions and masses of the tray/legs and bowling pin are shown in the
figure.
1₁5 cm 12 = 5 cm
a) Find the maximum acceleration of the legs
so that the bowling pin does not slip on the
tray.
b)
c)
Find the maximum acceleration of the legs
so that the bowling pin does not tip over.
Assume that the pin tips before it slips, and
that the value of the acceleration at which
tipping occurs is 2.1 m/s² (It isn't). For this
acceleration,
i. find the value of the force the ground
exerts on the foot (both normal and
friction), and
ii. find the value of the frictional force
between the tray and the bowling pin.
mpin = 1.6 kg
mlegs = 40 kg
h1 = 15 cm
h2 = 12 cm
h3 = 30 cm
Ans: a) 2 m/s² ≤|ax| ≤ 3.5 m/s²
b) 37 1/2 ≤|ax| ≤ 47/7/22
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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 now
This is a popular solution!
Step by step
Solved in 5 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
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.Recommended textbooks for you
![Elements Of Electromagnetics](https://www.bartleby.com/isbn_cover_images/9780190698614/9780190698614_smallCoverImage.gif)
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
![Mechanics of Materials (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134319650/9780134319650_smallCoverImage.gif)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Thermodynamics: An Engineering Approach](https://www.bartleby.com/isbn_cover_images/9781259822674/9781259822674_smallCoverImage.gif)
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
![Elements Of Electromagnetics](https://www.bartleby.com/isbn_cover_images/9780190698614/9780190698614_smallCoverImage.gif)
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
![Mechanics of Materials (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134319650/9780134319650_smallCoverImage.gif)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Thermodynamics: An Engineering Approach](https://www.bartleby.com/isbn_cover_images/9781259822674/9781259822674_smallCoverImage.gif)
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
![Control Systems Engineering](https://www.bartleby.com/isbn_cover_images/9781118170519/9781118170519_smallCoverImage.gif)
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
![Mechanics of Materials (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337093347/9781337093347_smallCoverImage.gif)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
![Engineering Mechanics: Statics](https://www.bartleby.com/isbn_cover_images/9781118807330/9781118807330_smallCoverImage.gif)
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY