Learning Goal: Use the general equations of motion for plane motion to determine the initial acceleration of a spool. A spool has an outer radius R = 380 mm, an inner radius r = 210 mm , a mass m = 90 kg, and a radius of gyration kg = 320 mm. A rope is wrapped around the inner radius and pulled to the right as shown in ( Figure 1). The coefficient of static friction. between the spool and the ground is μ = 0.2. The coefficient of kinetic friction is μ = 0.15. Figure R < 1 of 1 P Determine the largest magnitude for the frictional force at the point of contact. Express your answer to three significant figures and include the appropriate units. ▸ View Available Hint(s) |FAlmax= Value Submit Part C X Incorrect; Try Again ax = Submit Part D a = Assuming the spool does not slip, write the equation giving the acceleration of the center of mass to the right, a, in terms of the clockwise angular acceleration of the spool about its center of mass, a. Express your answer in terms of one or more of the variables R, r, m, kG, and a. View Available Hint(s) Previous Answers xa Submit Part E μÅ 17 ΑΣΦ Xb μA Value ↓↑ vec Units √x √√x ? Units input for part B IXI T20 (X)* Determine the horizontal acceleration of the spool if the force is P = 200 N. Let a positive acceleration be to the right. Express your answer to three significant figures and include the appropriate units. View Available Hint(s) Units ? ? X.10n X Review Calculate the actual friction force at the point of contact based on the assumption that the spool does not slip. Let a positive force act to the right. Express your answer to three significant figures and include the appropriate units.

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
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Learning Goal:
Use the general equations of motion for plane motion to
determine the initial acceleration of a spool.
A spool has an outer radius R = 380 mm, an inner radius r =
210 mm, a mass m = 90 kg, and a radius of gyration KG =
320 mm. A rope is wrapped around the inner radius and pulled
to the right as shown in (Figure 1). The coefficient of static
friction between the spool and the ground is us = 0.2. The
coefficient of kinetic friction is k = 0.15.
Figure
R
A
P
1 of 1
Part A
Draw the free-body diagram for the spool, assuming the friction force acts to the right.
Draw the vectors, starting at the black dots. The location and orientation of the vectors will be graded. The length of the vectors will not be graded.
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Transcribed Image Text:Learning Goal: Use the general equations of motion for plane motion to determine the initial acceleration of a spool. A spool has an outer radius R = 380 mm, an inner radius r = 210 mm, a mass m = 90 kg, and a radius of gyration KG = 320 mm. A rope is wrapped around the inner radius and pulled to the right as shown in (Figure 1). The coefficient of static friction between the spool and the ground is us = 0.2. The coefficient of kinetic friction is k = 0.15. Figure R A P 1 of 1 Part A Draw the free-body diagram for the spool, assuming the friction force acts to the right. Draw the vectors, starting at the black dots. The location and orientation of the vectors will be graded. The length of the vectors will not be graded. + 0 No elements selected Select the elements from the list and add them to the canvas setting the appropriate attributes. Submit Request Answer
Learning Goal:
Use the general equations of motion for
plane motion to determine the initial
acceleration of a spool.
A spool has an outer radius R = 380 mm,
an inner radius r = 210 mm, a mass m =
90 kg, and a radius of gyration KG = 320
mm. A rope is wrapped around the inner
radius and pulled to the right as shown in (
Figure 1). The coefficient of static friction
between the spool and the ground is μs =
0.2. The coefficient of kinetic friction is uk =
0.15.
Figure
R
1 of 1
P
Determine the largest magnitude for the frictional force at the point of contact.
Express your answer to three significant figures and include the appropriate units.
► View Available Hint(s)
|FA max = Value
Submit
Part C
X Incorrect; Try Again
ax =
Submit
Part D
ax =
Assuming the spool does not slip, write the equation giving the acceleration of the center of mass to the right, a, in
terms of the clockwise angular acceleration of the spool about its center of mass, a.
Express your answer in terms of one or more of the variables R, r, m, kG, and a.
► View Available Hint(s)
xa
D>
Submit
Part E
Previous Answers
HA
ΑΣΦ ↓↑ vec
Xb
μA
Value
Units
Gº
P
Units input for part B
Determine the horizontal acceleration of the spool if the force is P = 200 N. Let a positive acceleration be to the
right.
Express your answer to three significant figures and include the appropriate units.
► View Available Hint(s)
Units
P
√x √√x IX 120 (X)* x.10n
?
?
Review
Calculate the actual friction force at the point of contact based on the assumption that the spool does not slip. Let a
positive force act to the right.
Express your answer to three significant figures and include the appropriate units.
Transcribed Image Text:Learning Goal: Use the general equations of motion for plane motion to determine the initial acceleration of a spool. A spool has an outer radius R = 380 mm, an inner radius r = 210 mm, a mass m = 90 kg, and a radius of gyration KG = 320 mm. A rope is wrapped around the inner radius and pulled to the right as shown in ( Figure 1). The coefficient of static friction between the spool and the ground is μs = 0.2. The coefficient of kinetic friction is uk = 0.15. Figure R 1 of 1 P Determine the largest magnitude for the frictional force at the point of contact. Express your answer to three significant figures and include the appropriate units. ► View Available Hint(s) |FA max = Value Submit Part C X Incorrect; Try Again ax = Submit Part D ax = Assuming the spool does not slip, write the equation giving the acceleration of the center of mass to the right, a, in terms of the clockwise angular acceleration of the spool about its center of mass, a. Express your answer in terms of one or more of the variables R, r, m, kG, and a. ► View Available Hint(s) xa D> Submit Part E Previous Answers HA ΑΣΦ ↓↑ vec Xb μA Value Units Gº P Units input for part B Determine the horizontal acceleration of the spool if the force is P = 200 N. Let a positive acceleration be to the right. Express your answer to three significant figures and include the appropriate units. ► View Available Hint(s) Units P √x √√x IX 120 (X)* x.10n ? ? Review Calculate the actual friction force at the point of contact based on the assumption that the spool does not slip. Let a positive force act to the right. Express your answer to three significant figures and include the appropriate units.
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