Derive the equation of motion of the system if 0 is the generalized coordinate and c is 54 N.s/m. Determine natural frequency of the system. Is the system underdamped, critically damped or overdamped? Express the response as a function of time if 0(0) = 0.1 rad and 0 (0) = 0.

Derive the equation of motion of the system if 0 is the generalized coordinate and c is 54 N.s/m. Determine natural frequency of the system. Is the system underdamped, critically damped or overdamped? Express the response as a function of time if 0(0) = 0.1 rad and 0 (0) = 0.

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

5th Edition

ISBN:9781305084766

Author:Saeed Moaveni

Publisher:Saeed Moaveni

Chapter8: Time And Time-related Variables In Engineering

Section: Chapter Questions

Problem 22P

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Pressurized pipe flow

A 15-kilometer-long pipe with a pipe diameter of one meter transports water at a speed of one meter per second. The pipe has a friction coefficient of 0.005. Calculate the frictional head loss?

Question

Derive the equation of motion of the system if 0 is the generalized
coordinate and c is 54 N.s/m. Determine natural frequency of the system. Is the system
underdamped, critically damped or overdamped? Express the response as a function of
time if 0(0) = 0.1 rad and 0 (0) = 0.
10 cm
← ➤
FIGURE P3-33
40 cm
k
60 cm
k=2 x 10³ N/m
C
m= 4.2 kg
show work for answer, will upvote correct work

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Step 2 Determination of mass moment of inertia for beam

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Step 3 Formulation of equation of motion

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Step 4 Determination of natural frequency and classification of system

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Step 5 Response of SDOF system

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