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Unformatted text preview: ME563 – Fall 2011
Purdue University
West Lafayette, IN Homework Set No. 1
Assignment date: Friday, August 26
Due date: Friday, September 2
Please attach this cover sheet to your completed homework assignment. Name
PUID _________________________________________ Problem 1.1 __________________ Problem 1.2 __________________ Problem 1.3 __________________ TOTAL __________________ ME 563 – Fall 2011
Homework Prob. 1.1
Consider the system below:
• A spool having a mass of m, a centroidal mass moment of inertia IG and
an outer radius of R that rolls without slipping on a horizontal surface.
• A block of mass M that is in contact with the inner radius of the spool and
is constrained to move only in a horizontal direction such that the block
does not slip on the spool.
• A spring of stiffness k that is connected between the center of the spool G
and ground.
Let x describe the position of G as measured from the position of G when the
spring is unstretched. Using the NewtonEuler formulation, determine the
equation of motion for the system using the coordinat...
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This document was uploaded on 12/23/2011.
 Fall '09

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