A 30-kg disk with a radius of 0.7 m is pushed against a spring (k=900N/m). At the instant show where the spring is deformed by 0.2 m, the disk is released from rest. Adx Assume that the disk will roll without sliding after release. The coefficient of non-sliding friction between the floor and the disk is 0.3. 1. Which of the following kinematic relationships relating the acceleration of the mass center of the disk a, and its angular acceleration a is correct? a. a, = 0.7a b. 1.4a, = a c. 0.7a, = a d. a, = 1.4 2. Given the force diagram of the package, which of the following is the most ideally constructed diagram? 8 17W (0.7) +0.2k=fg#t+ma(0.7)² 3. Which of the following equations summing of moments about A is correct and can be used to solve for the angular acceleration of the disk? 8 W(0.7)+0.2k(0.7) = lça + m²(0.7)² 17 8 W(0.7) +0.2k(0.7) = ₂#+m(0.7) 17 15 W(0.7)+02k(87)-Ig+ma(0.7) 17 4. What is the total acceleration of the mass center of the disk? 5. What is the magnitude and direction of the frictional force between the disk and the floor? A B C

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
A 30-kg disk with a radius of 0.7 m is
pushed against a spring (k=900N/m). At
the instant show where the spring is
deformed by 0.2 m, the disk is released
from rest.
kAx
Assume that the disk will roll without
sliding after release. The coefficient of
non-sliding friction between the floor and the disk is 0.3.
1. Which of the following kinematic relationships relating the acceleration of the mass
center of the disk a, and its angular acceleration a is correct?
a. a, = 0.7a
b. 1.4a, = a
c. 0.7a, = a
d. a,=1.4
ma
ma,
2. Given the force diagram of the
package, which of the following is
the most ideally constructed
diagram?
lect
U
www
B
W(0.7) +0.2kg+ma(0.7)²
17
3. Which of the following equations
summing of moments about A is
correct and can be used to solve for
the angular acceleration of the disk?
8
W(0.7)+0.2k(0.7) = Iga+ma(0.7)²
17
8
C
W (0.7) +0.2k(0.7) = fg+ma(0.7)
17
15
0.
17W (0.7) +02k(0.7)-Ig+ma(0.7)
4. What is the total acceleration of the mass center of the disk?
5. What is the magnitude and direction of the frictional force between the disk and the floor?
LA
A
B
ma
Transcribed Image Text:A 30-kg disk with a radius of 0.7 m is pushed against a spring (k=900N/m). At the instant show where the spring is deformed by 0.2 m, the disk is released from rest. kAx Assume that the disk will roll without sliding after release. The coefficient of non-sliding friction between the floor and the disk is 0.3. 1. Which of the following kinematic relationships relating the acceleration of the mass center of the disk a, and its angular acceleration a is correct? a. a, = 0.7a b. 1.4a, = a c. 0.7a, = a d. a,=1.4 ma ma, 2. Given the force diagram of the package, which of the following is the most ideally constructed diagram? lect U www B W(0.7) +0.2kg+ma(0.7)² 17 3. Which of the following equations summing of moments about A is correct and can be used to solve for the angular acceleration of the disk? 8 W(0.7)+0.2k(0.7) = Iga+ma(0.7)² 17 8 C W (0.7) +0.2k(0.7) = fg+ma(0.7) 17 15 0. 17W (0.7) +02k(0.7)-Ig+ma(0.7) 4. What is the total acceleration of the mass center of the disk? 5. What is the magnitude and direction of the frictional force between the disk and the floor? LA A B ma
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Design of Mechanical Springs
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
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