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
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
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter7: Dry Friction
Section: Chapter Questions
Problem 7.72P
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F89875621-3ac0-46e8-a290-d015e596c6ba%2Fed7cdb59-7633-4bc4-970d-262b5c9b44dc%2Fe30vd7b_processed.jpeg&w=3840&q=75)
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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