978-0073398242 Chapter 13 Solution Manual Part 8

subject Type Homework Help
subject Pages 9
subject Words 1160
subject Authors Brian Self, David Mazurek, E. Johnston, Ferdinand Beer, Phillip Cornwell

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PROBLEM 13.55
A force P is slowly applied to a plate that is attached to two springs and causes a deflection
0
.x
In each of the
two cases shown, derive an expression for the constant
,
e
k
in terms of
1
k
and
2
,k
of the single spring
equivalent to the given system, that is, of the single spring which will undergo the same deflection
0
x
when
subjected to the same force P.
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PROBLEM 13.56
A loaded railroad car of mass m is rolling at a
constant velocity v0 when it couples with a
massless bumper system. Determine the
maximum deflection of the bumper assuming the
two springs are (a) in series (as shown), (b) in
parallel.
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PROBLEM 13.56 (Continued)
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PROBLEM 13.57
A 750-g collar can slide along the horizontal rod shown. It is
attached to an elastic cord with an undeformed length of 300 mm
and a spring constant of 150 N/m. Knowing that the collar is
released from rest at A and neglecting friction, determine the
speed of the collar (a) at B, (b) at E.
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PROBLEM 13.58
A 4-lb collar can slide without friction along a horizontal rod and is
in equilibrium at A when it is pushed 1 in. to the right and released
from rest. The springs are undeformed when the collar is at A and
the constant of each spring is 2800 lb/in. Determine the maximum
velocity of the collar.
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PROBLEM 13.59
A 4-lb collar can slide without friction along a horizontal rod and is
released from rest at A. The undeformed lengths of springs BA and
CA are 10 in. and 9 in., respectively, and the constant of each spring
is 2800 lb/in. Determine the velocity of the collar when it has moved
1 in. to the right.
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PROBLEM 13.60
A 500-g collar can slide without friction on the curved rod BC in a horizontal
plane. Knowing that the undeformed length of the spring is 80 mm and that
400
k=
kN/m, determine (a) the velocity that the collar should be given at A
to reach B with zero velocity, (b) the velocity of the collar when it eventually
reaches C.
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PROBLEM 13.60 (Continued)
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PROBLEM 13.61
For the adapted shuffleboard device in Prob 13.28, you decide to utilize an elastic
cord instead of a compression spring to propel the puck forward. When the cord is
stretched directly between points A and B, the tension is 20 N. The 425 gram puck
is placed in the center and pulled back through a distance of 400 mm; a force of
100 N is required to hold it at this location. Knowing that the coefficient of friction
is 0.3, determine how far the puck will travel.
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PROBLEM 13.61 (Continued)

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