20-41. At the instant shown, the arm AB is rotating about the fixed pin A with an angular velocity o = 4 rad/s and angular acceleration ở = 3 rad/s. At this same instant, rod BD is rotating relative to rod AB with an angular velocity wz =5 rad/s, which is increasing at w,=7 rad/s. Also, the collar Cis moving along rod BD with a velocity of 3 m/s and an acceleration of 2 m/s', both measured relative to the rod. Determine the velocity and acceleration of the collar at this instant. w = 4 rad/s in = 3 rad/s? 1.5 m 3 m/s 2 m/s2 w, = 5 rad/s iz = 7 rad/s? 0.6 m

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter12: Rotation I: Kinematics And Dynamics
Section: Chapter Questions
Problem 15PQ
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20-41. At the instant shown, the arm AB is rotating about the
fixed pin A with an angular velocity o = 4 rad/s and angular
acceleration ở = 3 rad/s. At this same instant, rod BD is
rotating relative to rod AB with an angular velocity wz =5 rad/s,
which is increasing at w,=7 rad/s. Also, the collar Cis moving
along rod BD with a velocity of 3 m/s and an acceleration of
2 m/s', both measured relative to the rod. Determine the
velocity and acceleration of the collar at this instant.
w = 4 rad/s
in = 3 rad/s?
1.5 m
3 m/s
2 m/s2
w, = 5 rad/s
iz = 7 rad/s?
0.6 m
Transcribed Image Text:20-41. At the instant shown, the arm AB is rotating about the fixed pin A with an angular velocity o = 4 rad/s and angular acceleration ở = 3 rad/s. At this same instant, rod BD is rotating relative to rod AB with an angular velocity wz =5 rad/s, which is increasing at w,=7 rad/s. Also, the collar Cis moving along rod BD with a velocity of 3 m/s and an acceleration of 2 m/s', both measured relative to the rod. Determine the velocity and acceleration of the collar at this instant. w = 4 rad/s in = 3 rad/s? 1.5 m 3 m/s 2 m/s2 w, = 5 rad/s iz = 7 rad/s? 0.6 m
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