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PROBLEM 13.72 (Continued)
PROBLEM 13.73
A 10-lb collar is attached to a spring and slides without
friction along a fixed rod in a vertical plane. The spring
has an undeformed length of 14 in. and a constant k = 4
lb/in. Knowing that the collar is released from rest in the
position shown, determine the force exerted by the rod on
the collar at (a) Point A, (b) Point B. Both these points are
on the curved portion of the rod.
PROBLEM 13.73 (Continued)
PROBLEM 13.74
An 8-oz package is projected upward with a
velocity v0 by a spring at A; it moves around a
frictionless loop and is deposited at C. For each of
the two loops shown, determine (a) the smallest
velocity v0 for which the package will reach C, (b)
the corresponding force exerted by the package on
the loop just before the package leaves the loop at
C.
Loop 2
PROBLEM 13.74 (Continued)
(
b)
(144.87)
: 0.01553 1.5
n
F ma NΣ= =
1.49989N=
PROBLEM 13.75
If the package of Problem 13.74 is not to hit the
horizontal surface at C with a speed greater than
10 ft/s, (a) show that this requirement can be
satisfied only by the second loop, (b) determine
the largest allowable initial velocity
0
v
when the
second loop is used.
PROBLEM 13.76
A small package of weight W is projected into a
vertical return loop at A with a velocity v0. The
package travels without friction along a circle
of radius r and is deposited on a horizontal
surface at C. For each of the two loops shown,
determine (a) the smallest velocity v0 for which
the package will reach the horizontal surface at
C, (b) the corresponding force exerted by the
loop on the package as it passes Point B.
PROBLEM 13.76 (Continued)
Newton’s second law at position B.
2
33
B
n
v gr
ma m m mg
rr
= = =
PROBLEM 13.77
The 1 kg ball at A is suspended by an inextensible cord and given an initial
horizontal velocity of 5 m/s. If
0.6 m
l=
and
0,
B
x=
determine yB so that the
ball will enter the basket.
PROBLEM 13.77 (Continued)
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