The spring is uncompressed when the uniform sender bar AB is in the vertical position shown. Bar AB with a mass of 50 kg and a length of 1 m is released from rest in the position where the bar has been rotated 30° clockwise from the position shown. This initial position of the bar AB is illustrated using the dashed line in the figure. Neglect any sag of the spring as well as the spring mass. (b) Find the angular velocity of the bar when it reaches the vertical position.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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The spring is uncompressed when the
uniform sender bar AB is in the vertical
position shown. Bar AB with a mass of 50 kg
and a length of 1 m is released from rest in
the position where the bar has been rotated
30° clockwise from the position shown. This
initial position of the bar AB is illustrated using
the dashed line in the figure. Neglect any sag
of the spring as well as the spring mass.
(b) Find the angular velocity of the bar
when it reaches the vertical position.
A
Initial position of the
bar AB when it is
released from rest
k=12 kN/m
Answers: (a) a = 198.951 rad/s²
(b) 2 = 10 rad/s
30º
B
Transcribed Image Text:The spring is uncompressed when the uniform sender bar AB is in the vertical position shown. Bar AB with a mass of 50 kg and a length of 1 m is released from rest in the position where the bar has been rotated 30° clockwise from the position shown. This initial position of the bar AB is illustrated using the dashed line in the figure. Neglect any sag of the spring as well as the spring mass. (b) Find the angular velocity of the bar when it reaches the vertical position. A Initial position of the bar AB when it is released from rest k=12 kN/m Answers: (a) a = 198.951 rad/s² (b) 2 = 10 rad/s 30º B
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