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For the position shown in the figure below, the spring is
unstretched.
The spring constant k is such that after the
system is released from rest, the speed of the masses is
zero just as the 0.6 slug mass touches the floor.
a)
Determine the value k of the spring constant.
Assume that
the pulley is frictionless and of negligible mass.
b) Derive
a formula for the speed v of the masses as a function of y
from the time the system is released from rest to the time
the 0.6 slug mass touches the floor.
What is the maximum
speed of the masses?
What is your first step?
EX8.1 Designing a Spring Counterbalance
Solution:
Problem Type:
Find:
Given:
m
1
= 0.6 slug, m
2
=0.4 slug, diagram
k, the spring constant so that the 0.6 slug stops at the floor with zero velocity
Work Energy
Write out the Work Energy Relationship
1e
+ V
1g
+ U
12
= T
+ V
2e
+ V
2g
Which are zero?
Datum 1
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This note was uploaded on 01/22/2011 for the course ME 212 taught by Professor Staff during the Spring '05 term at Cal Poly.
 Spring '05
 staff

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