ME563 – Fall 2011
Purdue University
West Lafayette, IN
Homework Set No. 4
Assignment date
: Friday, September 16
Due date
:
Friday, September 23
Please attach this cover sheet to your completed homework assignment.
Name
PUID
_________________________________________
Problem 4.1
__________________
Problem 4.2
__________________
Problem 4.3
__________________
TOTAL
__________________
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ME 563 – Fall 2011
Homework Prob. 4.1
The system shown below is made up of a block A of mass
m
, a dashpot with damping
coefficient
c
and a spring of stiffness
k
. Let
x
be the generalized coordinate used to
describe the motion of block A. During impact testing of this system, block A is struck by
a hammer that pivots about point O. The head of the hammer, P, is to be modeled as a
particle with mass
M
, and the mass of the handle of the hammer is to be considered
negligible. Immediately prior to impact, the handle is rotating at a rate of
ω
, as indicated
in the figure below. The coefficient of restitution of impact of P with A is
e
. The duration
of the impact of P with A is assumed to be very short. Prior to impact, A is at rest.
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 Fall '09
 Energy, Kinetic Energy, Coordinate system, Generalized coordinates, Homework Prob.

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