Learning Goal:Use the general equations of motion for planemotion to determine the initial acceleration of aspool.A spool has an outer radius R = 380 mm, an innerradius r = 220 mm, a mass m = 90 kg, and aradius of gyration kg = 300 mm. A rope iswrapped around the inner radius and pulled to theright as shown in (Figure 1). The coefficient of staticfriction between the spool and the ground is s =0.2. The coefficient of kinetic friction is μ = 0.15.FigureR1 of 1PPart DDetermine 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)az =SubmitPart EFA=FμÅPart FValueCalculate the actual friction force at the point of contact based on the assumption that the spool does not slip. Let apositive force act to the right.Express your answer to three significant figures and include the appropriate units.μÀValueSubmit Request AnswerUnits?Units?Calculate the angular acceleration of the spool. Let a positive acceleration be clockwise.Express your answer to three significant figures and include the appropriate units. Part ADraw 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.+ ΣΠNo elements selected?

Answered: Image /qna-images/answer/5e798033-572f-4cd3-961d-44eb1cf49561.jpgThe forces acting on the spool are-(i) weight of spool (mg),(ii) friction force (FA), and(iii) applied force (P).Draw the Free-body diagram of the spool.From FBD and kinetic diagram, balance forces along x-direction.(f) Calculate the angular acceleration.Write the answers-(a) Free-body diagram-

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Mechanical Engineering

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 = 220 mm, a mass m = 90 kg, and a radius of gyration kg = 300 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 4 = 0.15. Figure R 1 of 1 P 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) az = Submit Part E FA= Submit O Part F μA Value Calculate the actual friction force at the point of contact based on the assumption that the spool does not slip. Let at positive force act to the right. Express your answer to three significant figures and include the appropriate units. D μA Value Units Request Answer ? Units ? Calculate the angular acceleration of the spool. Let a positive acceleration be clockwise. Express your answer to three significant figures and include the appropriate units.

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 = 220 mm, a mass m = 90 kg, and a radius of gyration kg = 300 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 4 = 0.15. Figure R 1 of 1 P 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) az = Submit Part E FA= Submit O Part F μA Value Calculate the actual friction force at the point of contact based on the assumption that the spool does not slip. Let at positive force act to the right. Express your answer to three significant figures and include the appropriate units. D μA Value Units Request Answer ? Units ? Calculate the angular acceleration of the spool. Let a positive acceleration be clockwise. 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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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

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 = 220 mm, a mass m = 90 kg, and a
radius of gyration kg = 300 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 s =
0.2. The coefficient of kinetic friction is μ = 0.15.
Figure
R
1 of 1
P
Part D
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)
az =
Submit
Part E
FA=
F
μÅ
Part F
Value
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.
μÀ
Value
Submit Request Answer
Units
?
Units
?
Calculate the angular acceleration of the spool. Let a positive acceleration be clockwise.
Express your answer to three significant figures and include the appropriate units.

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.
+ ΣΠ
No elements selected
?

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Step 1: (a) Draw the given diagram of the spool.

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Step 2: Draw the free-body diagram of the spool.

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Step 3: (d) Calculate the horizontal acceleration of spool's mass center.

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Step 4: (e) Calculate the actual friction force.

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