3. Imagine a door which can swings into and out of a room. The door has a closer with a spring stiffness of 71 N-m/rad and damping of 7.5 N-m-s/rad and mass moment of inertia of the door with respect to the hinge is 20 kg-m?. If the door is held open and then let go from an angle of 50 degrees, how long will the door continue to swing into and out of the room? How many times will it swings before it will closed? Assume that the door is considered closed when the amplitude has decreased to 2.5 degrees. Assume that small angle approximation holds, such that sin(theta) = theta. %3D
3. Imagine a door which can swings into and out of a room. The door has a closer with a spring stiffness of 71 N-m/rad and damping of 7.5 N-m-s/rad and mass moment of inertia of the door with respect to the hinge is 20 kg-m?. If the door is held open and then let go from an angle of 50 degrees, how long will the door continue to swing into and out of the room? How many times will it swings before it will closed? Assume that the door is considered closed when the amplitude has decreased to 2.5 degrees. Assume that small angle approximation holds, such that sin(theta) = theta. %3D
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
![3. Imagine a door which can swings into and out of a room. The door has a closer with a spring stiffness
of 71 N-m/rad and damping of 7.5 N-m-s/rad and mass moment of inertia of the door with respect to
the hinge is 20 kg-m?. If the door is held open and then let go from an angle of 50 degrees, how long will
the door continue to swing into and out of the room? How many times will it swings before it will
closed? Assume that the door is considered closed when the amplitude has decreased to 2.5 degrees.
Assume that small angle approximation holds, such that sin(theta) = theta.
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb3a10bdd-b10b-46c0-9853-26a0493d3548%2Fe62c0034-022e-412b-a4ec-09b8d65547b4%2Fgcvyzyv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. Imagine a door which can swings into and out of a room. The door has a closer with a spring stiffness
of 71 N-m/rad and damping of 7.5 N-m-s/rad and mass moment of inertia of the door with respect to
the hinge is 20 kg-m?. If the door is held open and then let go from an angle of 50 degrees, how long will
the door continue to swing into and out of the room? How many times will it swings before it will
closed? Assume that the door is considered closed when the amplitude has decreased to 2.5 degrees.
Assume that small angle approximation holds, such that sin(theta) = theta.
%3D
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