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EQUILIBRIUM OF PARTICLES

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EQUILIBRIUM OF PARTICLES
EQUILIBRIUM OF PARTICLES
PROBLEMS
1. Determine the force P required to maintain the 200-kg engine in the
position for which q=30o. The diameter of the pulley at B is
negligible.
2. The pail and its contents have mass of 60 kg. If the cable is 15 m
long, determine the distance y of the pulley for equilibrium. Neglect
the mass of the pulley. Also find the tension in the cable.
C
2m
B
y
A
10 m
3. 4-kg sphere rests on the smooth parabolic surface. Determine
the reaction of the surface on the sphere and the mass mB required
to hold it in the equilibrium position.
60o
y
mB
A
y=2.5x2
x
0.4 m
4. The 40-kg block rests on the rough surface. Length of the
spring is 180 mm in the position shown. Unstreched length of
the spring is 200 mm. Determine the coefficient of friction
required for the equilibrium.
5. Two bodies weighing 150 N and 200 N, respectively, rest on a
cylinder and are connected by a rope as shown. Find the reactions of
the cylinder on the bodies, the tension in the rope and the angle q.
Assume all surfaces to be smooth.
W1=200 N
rope
W2=150 N
90-q
q
6. A car is to be towed using the rope arrangement shown. The
towing force is required is 3000 N. Determine the minimum length l
of rope AB so that the tension in either rope AB and AC does not
exceed 3750 N.
7. Determine the tensions in cables AB, AC, and AD.
z
y
x
8. Determine the compression in each of the three legs of the tripod
subjected to the vertical 2-kN force. The weight of the legs is
negligible compared with the applied load.
9. Smooth collars A, B and C, each weighing 360 N, are connected by the
wires AB and BC and may slide freely on the smooth rod having the shape
shown. Determine the magnitude of the horizontal force P which must be
applied to the collar A to maintain equilibrium. DEFG portion of the rod is
parallel to xy-plane.
10. The 100-kg collar A rests on the smooth straight fixed bar CD by
the cable AB. Determine the tension in the cable and the reaction
between the collar and bar CD.
C
11. Crate A weighing 580 N rests on the inclined surface by the cable
AB and force P which is parallel to the z-axis. Determine the tension
in the cable AB and force P for equilibrium. Friction between surface
and crate is negligible.
y
1.5 m
B
2.2 m
E
P
C
A
3m
O
z
4m
D
x
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