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

International Edition---engineering Mechanics: Statics, 4th Edition
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Chapter7: Dry Friction
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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
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