The motion of the wheel as it rolls up the fixed rack on its gear hub is controlled through the peripheral cable by the driving wheel D, which turns counter-clockwise at the constant rate ωo=4rad/s for a short interval of motion. By examining the geometry of a small rotation of line AOCB as it pivots momentarily about the contact point C, determine the angular velocity ω of the wheel and the velocity of point A and the center O. Also, find the acceleration of point C. Motion of the wheel as it rolls up the fixed rack onits geared hub is controlled through the peripheralcable by the driving wheel D, which turns counter-clockwise at the constant rate wo = 4 rad/s for ashort interval of motion. By examining the geometry2.of a small (differential) rotation of line AOCB as itpivots momentarily about the contact point C, deter-mine the angular velocity w of the wheel and the ve-locities of point A and the center O. Also find theacceleration of point C.A100 mm00 60mmB30 mmD

The velocity of the point B is vB=ωo×rd=4×30=120 mm/s As the contact point is C. So the velocity of…

Answered: The motion of the wheel as it rolls up…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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The motion of the wheel as it rolls up the fixed rack on its gear hub is controlled through the peripheral cable by the driving wheel D, which turns counter-clockwise at the constant rate ωo=4rad/s for a short interval of motion. By examining the geometry of a small rotation of line AOCB as it pivots momentarily about the contact point C, determine the angular velocity ω of the wheel and the velocity of point A and the center O. Also, find the acceleration of point C.

Motion of the wheel as it rolls up the fixed rack on
its geared hub is controlled through the peripheral
cable by the driving wheel D, which turns counter-
clockwise at the constant rate wo = 4 rad/s for a
short interval of motion. By examining the geometry
2.
of a small (differential) rotation of line AOCB as it
pivots momentarily about the contact point C, deter-
mine the angular velocity w of the wheel and the ve-
locities of point A and the center O. Also find the
acceleration of point C.
A
100 mm
00 60
mm
B
30 mm
D

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