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P.2) A cylinder of radius R = 0.8 m is rolling without slip with an angular velocity and acceleration of w = 7k rad/s and a = 2k rad/s², respectively. As illustrated, a peg P is constrained to slide within a radial slot in the cyl- inder. At this instant, the peg is a distance r = 0.4 m from the cylinder's center O, and the slot is angled at 0 = 30° with respect to the horizontal. The peg is moving outward with a speed Vrel = 1.2 m/s and acceleration arel = 0.6 m/s² with respect to the cylinder. Find up and ap, and express them in the {b₁,b2, b3) basis.

P.2) A cylinder of radius R = 0.8 m is rolling without slip with an angular velocity and acceleration of w = 7k rad/s and a = 2k rad/s², respectively. As illustrated, a peg P is constrained to slide within a radial slot in the cyl- inder. At this instant, the peg is a distance r = 0.4 m from the cylinder's center O, and the slot is angled at 0 = 30° with respect to the horizontal. The peg is moving outward with a speed Vrel = 1.2 m/s and acceleration arel = 0.6 m/s² with respect to the cylinder. Find up and ap, and express them in the {b₁,b2, b3) basis.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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P.2) A cylinder of radius R = 0.8 m is rolling without slip with an angular velocity and acceleration of w = 7k rad/s and a = 2k rad/s², respectively. As illustrated, a peg P is constrained to slide within a radial slot in the cyl- inder. At this instant, the peg is a distance r = 0.4 m from the cylinder's center O, and the slot is angled at 0 = 30° with respect to the horizontal. The peg is moving outward with a speed Vrel 1.2 m/s and acceleration arel = 0.6 m/s² with respect to the cylinder. Find up and ap, and express them in the {b₁,b2, b3} basis. b
Transcribed Image Text:P.2) A cylinder of radius R = 0.8 m is rolling without slip with an angular velocity and acceleration of w = 7k rad/s and a = 2k rad/s², respectively. As illustrated, a peg P is constrained to slide within a radial slot in the cyl- inder. At this instant, the peg is a distance r = 0.4 m from the cylinder's center O, and the slot is angled at 0 = 30° with respect to the horizontal. The peg is moving outward with a speed Vrel 1.2 m/s and acceleration arel = 0.6 m/s² with respect to the cylinder. Find up and ap, and express them in the {b₁,b2, b3} basis. b
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