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ENES 221, Fall 2011
Homework #7
Due by 5 pm on Wednesday, October 19, 2011
1.
The jet plane is traveling at a constant speed of
1000 ft/s along the curve
y =
(20x10
6
)
x
2
+
5000,
where
x
and
y
are in feet. If the pilot has a weight
of 180 lb, determine the normal and tangential
components of the force the seat exerts on the
pilot when
y
= 10000 ft.
2.
The 5kg pendulum bob
B
is released from rest when
θ
= 0
o
. Determine a)
the initial tension in the cord
and b) tension at the instant the bob reaches point D,
where
θ
= 45
o
. Neglect the size of the bob.
3.
The 6kg block is confined to move along the
smooth parabolic path. The attached spring
restricts the motion and due to the roller guide,
always remains horizontal as the block
descends.
If the spring has a stiffness of
k
= 10
N/m and an unstretched length of 0.5 m,
determine the normal force of the path on the
block at the instant
x = 1 m
and the block has a
speed of 4 m/s. Also find the rate of increase in
speed of the block at this instant. Assume that
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 Spring '08
 KIGER

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