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Chapter 3
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Chapter 3: Equilibrium Particle
PROBLEMS
3
–
1.
Determine the magnitudes of
F
1
and
F
2
so that the particle is in equilibrium.
Prob. 3
–
1
3
–
2.
Determine the magnitude and direction
θ
of
F
so that the particle is in equilibrium.
Prob 3
–
2
3
–
3.
Determine the magnitude of
F
and the orientation
θ
of the 750-N force so that the particle is
in equilibrium.
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Engineering Mechanics: Statics and Dynamics: Chapter 3
2009-1-29
..

Prob 3
–
3
*
3
–
4.
Determine the magnitude and angle
θ
of
F
so that the particle is in equilibrium.
Prob 3
–
4
3
–
5.
The members of a truss are connected to the gusset plate. If the forces are concurrent at
point
O
, determine the magnitudes of
F
and
T
for equilibrium. Take
θ
= 30
°
.
3
–
6.
The gusset plate is subjected to the forces of four members. Determine the force in member
B
and its proper orientation
θ
for equilibrium. The forces are concurrent at point
O
. Take
F
= 12
kN.
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Prob 3
–
5/6
3
–
7.
Determine the maximum weight of the engine that can be supported without exceeding a
tension of 450 lb in chain
AB
and 480 lb in chain
AC
.
Prob 3
–
7
*
3
–
8.
The 200-kg engine is suspended from a vertical chain at
A
. A second chain is wrapped
around the engine and held in position by the spreader bar
BC
. Determine the compressive force
acting along the axis of the bar and the tension forces in segments
BA
and
CA
of the chain.
Hint:
Analyze equilibrium first at
A
, then at
B
.
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Engineering Mechanics: Statics and Dynamics: Chapter 3
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..

Prob 3
–
8
3
–
9.
Cords
AB
and
AC
can each sustain a maximum tension of 800 lb. If the drum has a weight
of 900 lb, determine the smallest angle
θ
at which they can be attached to the drum.
Prob 3
–
9
3
–
10.
The 500-lb crate is hoisted using the ropes
AB
and
AC
. Each rope can withstand a
maximum tension of 2500 lb before it breaks. If
AB
always remains horizontal, determine the
smallest angle
θ
to which the crate can be hoisted.
Prob 3
–
10
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Engineering Mechanics: Statics and Dynamics: Chapter 3
2009-1-29
..

3
–
11.
Two electrically charged pith balls, each having a mass of 0.2 g, are suspended from light
threads of equal length. Determine the resultant horizontal force of repulsion,
F
, acting on each
ball if the measured distance between them is
r
= 200 mm.
Prob 3

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