The rod AB is non-uniform with a radius of gyration of 4.00 ft with respect to a horizontal axis through the center of mass G. It weighs 161 lb. At the moment shown the rod has a counterclockwise angular velocity of 3.00 rad/sec, and the spring is compressed by 2.00 ft. Calculate the force constant of the spring that will reduce the angular velocity of the rod to 1.50 rad/sec when it reaches the horizontal position. Assume the blocks A and B are weightless.
The rod AB is non-uniform with a radius of gyration of 4.00 ft with respect to a horizontal axis through the center of mass G. It weighs 161 lb. At the moment shown the rod has a counterclockwise angular velocity of 3.00 rad/sec, and the spring is compressed by 2.00 ft. Calculate the force constant of the spring that will reduce the angular velocity of the rod to 1.50 rad/sec when it reaches the horizontal position. Assume the blocks A and B are weightless.
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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Question
The rod AB is non-uniform with a radius
of gyration of 4.00 ft with respect to a
horizontal axis through the center of
mass G. It weighs 161 lb. At the moment
shown the rod has a counterclockwise
angular velocity of 3.00 rad/sec, and the
spring is compressed by 2.00 ft.
Calculate the force constant of the spring
that will reduce the angular velocity of
the rod to 1.50 rad/sec when it reaches
the horizontal position. Assume the
blocks A and B are weightless.
Transcribed Image Text:The rod AB is non-uniform with a radius
of gyration of 4.00 ft with respect to a
horizontal axis through the center of
mass G. It weighs 161 lb. At the moment
shown the rod has a counterclockwise
angular velocity of 3.00 rad/sec, and the
spring is compressed by 2.00 ft.
Calculate the force constant of the spring
that will reduce the angular velocity of
the rod to 1.50 rad/sec when it reaches
the horizontal position. Assume the
blocks A and B are weightless.
5'
3
10'
B
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