978-0073398242 Chapter 3 Solution Manual Part 12

subject Type Homework Help
subject Pages 9
subject Words 1185
subject Authors Brian Self, David Mazurek, E. Johnston, Ferdinand Beer, Phillip Cornwell

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PROBLEM 3.105
The weights of two children sitting at ends A and B of a
seesaw are 84 lb and 64 lb, respectively. Where should a
third child sit so that the resultant of the weights of the
three children will pass through C if she weighs (a) 60 lb,
(b) 52 lb.
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PROBLEM 3.106
Three stage lights are mounted on a pipe as
shown. The lights at A and B each weigh 4.1 lb,
while the one at C weighs 3.5 lb. (a) If d = 25 in.,
determine the distance from D to the line of
action of the resultant of the weights of the three
lights. (b) Determine the value of d so that the
resultant of the weights passes through the
midpoint of the pipe.
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PROBLEM 3.107
A beam supports three loads of given magnitude and a fourth load whose magnitude is a function of
position. If b = 1.5 m and the loads are to be replaced with a single equivalent force, determine (a) the
value of a so that the distance from support A to the line of action of the equivalent force is maximum,
(b) the magnitude of the equivalent force and its point of application on the beam.
2
8
23 3
da a


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PROBLEM 3.107 (Continued)
22
184 80 64 80 32
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PROBLEM 3.108
A 6 × 12-in. plate is subjected to four loads as shown. Find the resultant
of the four loads and the two points at which the line of action of the
resultant intersects the edge of the plate.
SOLUTION
We have
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PROBLEM 3.109
A 32-lb motor is mounted on the floor. Find the resultant of
the weight and the forces exerted on the belt, and determine
where the line of action of the resultant intersects the floor.
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PROBLEM 3.110
To test the strength of a 625 × 500-mm suitcase, forces are
applied as shown. If P = 88 N, (a) determine the resultant of
the applied forces, (b) locate the two points where the line
of action of the resultant intersects the edge of the suitcase.
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PROBLEM 3.111
Solve Prob. 3.110, assuming that P = 138 N.
Problem 3.110 To test the strength of a 625 × 500-mm
suitcase, forces are applied as shown. If P = 88 N, (a)
determine the resultant of the applied forces, (b) locate the
two points where the line of action of the resultant
intersects the edge of the suitcase.
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PROBLEM 3.112
Pulleys A and B are mounted on bracket CDEF. The
tension on each side of the two belts is as shown. Replace
the four forces with a single equivalent force, and
determine where its line of action intersects the bottom
edge of the bracket.
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PROBLEM 3.112 (Continued)

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