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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