1. A uniform rod of mass m is supported by a pin at 0 and spring of constant k and is connected to a dashpot of damping coefficient c. Determine the differential equation of the motion for small oscillations in terms of m., k. c and L What would be the natural period of this system for small oscillations. when it is undamped, if L is 1.2 m. k is 100 N/m. and m is 3 kg? Hint: mass moment of Inertia of the rod is (mL)/12 with respect to the axis passing through its mass center. Parallel axis theorem states le=l, +m d? where d is the distance between the axes x and x. Spring force is k times the displacement, damping force is the c times the speed in dashpot. linear spring spring coefficient = k mass of rod = m L/2 L/2 damper damping coeffient = e
1. A uniform rod of mass m is supported by a pin at 0 and spring of constant k and is connected to a dashpot of damping coefficient c. Determine the differential equation of the motion for small oscillations in terms of m., k. c and L What would be the natural period of this system for small oscillations. when it is undamped, if L is 1.2 m. k is 100 N/m. and m is 3 kg? Hint: mass moment of Inertia of the rod is (mL)/12 with respect to the axis passing through its mass center. Parallel axis theorem states le=l, +m d? where d is the distance between the axes x and x. Spring force is k times the displacement, damping force is the c times the speed in dashpot. linear spring spring coefficient = k mass of rod = m L/2 L/2 damper damping coeffient = e
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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![1. A uniform rod of mass m is supported by a pin at 0 and spring of constant k and is
connected to a dashpot of damping coefficient c.
Determine the differential equation of the motionfor small oscillations in
terms of m, k. c and L
What would be the natural period of this system for small oscillations.
when it is undamped. if L is 1.2 m. k is 100 N/m. and m is 3 kg?
Hint: mass moment of lInertia of the rod is (mL)/12 with respect to the axis passing through its mass center.
Parallel axis theorem states Ie=l, +m d² where d is the distance between the axes x and x. Spring force is k
times the displacement, damping force is the c times the speed in dashpot.
linear spring
spring coefficient = k
mass of rod m
L/2
L/2
damper
damping coeffient = e](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb7842dcc-2b85-41b2-91bf-3bf0ef69838e%2F1d76eb68-c099-4fd1-8970-70d187a02a70%2Fmzmf9x_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. A uniform rod of mass m is supported by a pin at 0 and spring of constant k and is
connected to a dashpot of damping coefficient c.
Determine the differential equation of the motionfor small oscillations in
terms of m, k. c and L
What would be the natural period of this system for small oscillations.
when it is undamped. if L is 1.2 m. k is 100 N/m. and m is 3 kg?
Hint: mass moment of lInertia of the rod is (mL)/12 with respect to the axis passing through its mass center.
Parallel axis theorem states Ie=l, +m d² where d is the distance between the axes x and x. Spring force is k
times the displacement, damping force is the c times the speed in dashpot.
linear spring
spring coefficient = k
mass of rod m
L/2
L/2
damper
damping coeffient = e
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