Derive the spring, mass and damping equivalent of the system shown. The mass moment of inertia of the pulley set - up is Ip. Take note that the disk will have two movements due to its no slip condition. Generalized coordinate: vertical displacement of the block with mass 2m

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter5: Three-dimensional Equilibrium
Section: Chapter Questions
Problem 5.15P: In Sample Problem 5.5, determine Oy with one scalar equilibrium equation.
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the answer must be:

[(13/6)m + (11/9r2)] (double dot) x + (11/9)cẋ +  (10/3)kx

Derive the spring, mass and damping
equivalent of the system shown. The
mass moment of inertia of the pulley set
- up is lp. Take note that the disk will have
two movements due to its no slip
condition. Generalized coordinate:
vertical displacement of the block with
mass 2m
2k
3k
thin disk, m
2r
3r
2c
no slip
2m
Transcribed Image Text:Derive the spring, mass and damping equivalent of the system shown. The mass moment of inertia of the pulley set - up is lp. Take note that the disk will have two movements due to its no slip condition. Generalized coordinate: vertical displacement of the block with mass 2m 2k 3k thin disk, m 2r 3r 2c no slip 2m
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