3) A 50-lb spool with outer radius of 15 inches, inner radius of 9 inches, and moment of inertia of 0.8 slug-ft? is initially at rest. If a 10-lb force, P, is applied at the inner radius of the spool as shown. The coefficients of static and kinetic friction between the cylinder and the ground at point A are us = 0.3 and uk = 0.25 respectively. a) Draw the FBD and IRD of the system. b) Determine the acceleration of the center of mass, G, in ft/s². Assume the wheel is rolling without slipping. [Ans. to Check: a = -7.75 i ft/s²] c) Check the assumption of rolling without slip. Was this a valid assumption? r = 1.25 ft P = 10 lbs r, = 0.75 ft

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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3) A 50-lb spool with outer radius of 15 inches, inner radius of 9 inches, and moment of inertia
of 0.8 slug-ft? is initially at rest. If a 10-lb force, P, is applied at the inner radius of the spool as
shown. The coefficients of static and kinetic friction between the cylinder and the ground at
point A are us = 0.3 and µk = 0.25 respectively.
a) Draw the FBD and IRD of the system.
b) Determine the acceleration of the center of mass, G, in ft/s². Assume the wheel is rolling
without slipping. [Ans. to Check: a = -7.75 i ft/s²]
c) Check the assumption of rolling without slip. Was this a valid assumption?
%3D
r = 1.25 ft
P = 10 lbs
r2 = 0.75 ft
Transcribed Image Text:3) A 50-lb spool with outer radius of 15 inches, inner radius of 9 inches, and moment of inertia of 0.8 slug-ft? is initially at rest. If a 10-lb force, P, is applied at the inner radius of the spool as shown. The coefficients of static and kinetic friction between the cylinder and the ground at point A are us = 0.3 and µk = 0.25 respectively. a) Draw the FBD and IRD of the system. b) Determine the acceleration of the center of mass, G, in ft/s². Assume the wheel is rolling without slipping. [Ans. to Check: a = -7.75 i ft/s²] c) Check the assumption of rolling without slip. Was this a valid assumption? %3D r = 1.25 ft P = 10 lbs r2 = 0.75 ft
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