A sphere with mass m and radius r is released with no initial velocity, and it rolls without slipping on the incline as shown in Figure Q5. The angle 9 is 30°. The mass moment of inertia for a sphere is (2/5) m r2. Go- r Figure Q5 (a) In this case, what is the relationship between linear and angular accelerations? Explain. (b) Draw the free-body diagram and the kinetic diagram for the sphere. (c) Calculate the minimum friction coefficient required between sphere and incline. (d) What is the mass moment of inertia and what is its role in second Newton's law, compared to the role of mass

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Q5
A sphere with mass m and radius r is released with no initial
velocity, and it rolls without slipping on the incline as shown in
Figure Q5. The angle 9 is 30°.
The mass moment of inertia for a sphere is (2/5) m r2.
Go
Figure Q5
(a) In this case, what is the relationship between linear and
angular accelerations? Explain.
(b) Draw the free-body diagram and the kinetic diagram for the
sphere.
(c) Calculate the minimum friction coefficient required between
sphere and incline.
(d) What is the mass moment of inertia and what is its role in
second Newton's law, compared to the role of mass
Transcribed Image Text:Q5 A sphere with mass m and radius r is released with no initial velocity, and it rolls without slipping on the incline as shown in Figure Q5. The angle 9 is 30°. The mass moment of inertia for a sphere is (2/5) m r2. Go Figure Q5 (a) In this case, what is the relationship between linear and angular accelerations? Explain. (b) Draw the free-body diagram and the kinetic diagram for the sphere. (c) Calculate the minimum friction coefficient required between sphere and incline. (d) What is the mass moment of inertia and what is its role in second Newton's law, compared to the role of mass
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