During a particular manufacturing process a hoop of mass m and radius r is to roll without slip on a slant before getting to the next step in the assembly line. The floor manager has approached you and wants to know what the minimum coefficient of friction would have to be to prevent the hoop from slipping. a) Explicitly define coordinates for the inclined plane and write out the corresponding transformation array. b) Draw an FBD and IRD for the system. c) Compute the coefficient of friction required to ensure the hoop does not slip if B = 45°. [Ans. to Check: u = 0.5]

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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1) During a particular manufacturing process a hoop of mass m and radius r is to roll without
slip on a slant before getting to the next step in the assembly line. The floor manager has
approached you and wants to know what the minimum coefficient of friction would have to
be to prevent the hoop from slipping.
a) Explicitly define coordinates for the inclined plane and write out the corresponding
transformation array.
b) Draw an FBD and IRD for the system.
c) Compute the coefficient of friction required to ensure the hoop does not slip if B = 45°.
[Ans. to Check: µ = 0.5]
m
Transcribed Image Text:1) During a particular manufacturing process a hoop of mass m and radius r is to roll without slip on a slant before getting to the next step in the assembly line. The floor manager has approached you and wants to know what the minimum coefficient of friction would have to be to prevent the hoop from slipping. a) Explicitly define coordinates for the inclined plane and write out the corresponding transformation array. b) Draw an FBD and IRD for the system. c) Compute the coefficient of friction required to ensure the hoop does not slip if B = 45°. [Ans. to Check: µ = 0.5] m
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