A string is wrapped around the hub of the spool. a pull at the end of the string causes the spool to roll on the horizontal plane without slipping. At a certain instant, the angular velocity and angular acceleration of the spool are as shown in the figure. For this instant, find (a) the acceleration of the point D on the spool; (b) the acceleration of point B ; and (c) the acceleration a0 of the end of the string.
A string is wrapped around the hub of the spool. a pull at the end of the string causes the spool to roll on the horizontal plane without slipping. At a certain instant, the angular velocity and angular acceleration of the spool are as shown in the figure. For this instant, find (a) the acceleration of the point D on the spool; (b) the acceleration of point B ; and (c) the acceleration a0 of the end of the string.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A string is wrapped around the hub of the spool. a pull at the end of the string causes the spool to roll on the horizontal plane without slipping. At a certain instant, the angular velocity and angular acceleration of the spool are as shown in the figure. For this instant, find (a) the acceleration of the point D on the spool; (b) the acceleration of point B ; and (c) the acceleration a0 of the end of the string.
Transcribed Image Text:1. Kinematcs: A string is wrapped around the hub of the spool. a pull at the end of the string
causes the spool to roll on the horizontal plane without slipping. At a certain instant, the
angular velocity and angular acceleration of the spool are as shown in the figure. For this
instant, find (a) the acceleration of the point D on the spool; (b) the acceleration of point B
; and (c) the acceleration ao of the end of the string.
B
w= 6 rad/s
o.15 m
ta= 15 rad/s2
0.06 m
Vo, ap
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