homework 2 equilibrium of particles - …kisi.deu.edu.tr/emine.cinar/b16 statics_homework 2...
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HOMEWORK 2
EQUILIBRIUM OF PARTICLES
Homework 2
1. Determine theforce P required tomaintain the 200-kgengine in the positionfor which q = 30o.The diameter of thepulley at B isnegligible.
Homework 2
2. The collar A of mass m may slide freely on thehorizontal frictionless rod. The spring attached tothe collar has a stiffness of 10 N/cm and it isundeformed when the collar is directly belowsupport B. Determine the magnitude of the force Prequired to maintain equilibrium.
9 cm
12 cm
B
AP
m
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3. A scale is constructed using the 10 kg mass A, the 2 kgpan P and the pulley and cord arrangement. Cord BCA is 2 mlong. If s = 0.75 m, determine the mass D in the pan. Neglectthe size of the pulley.
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4. The pipe is held inplace by the vice. Ifthe bolt exerts aforce of 250 N on thepipe in the directionshown, determine theforces FA and FB thatthe smooth contactsat A and B exert onthe pipe.
Homework 2
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5. Determine the mass of each of the two cylinders if they cause a sag of s = 0.5 m when supported from the rings at A and B. Note that s = 0 when the cylinders are removed.
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6. Two particles weighing 800 N and 200 N are held in
equilibrium on frictionless perpendicular surfaces by a cable
which makes an angle q with the horizontal.
a) Determine the normal forces acting from the surfaces on
the particles,
b) Tension in the cable,
c) Angle q .
7. pail and its contents have a mass of 10 kg. If the
length of cable ABC is 7 m, determine the horizontal
distance x for equilibrium. Also find the tension in the
cable. The mass of the small pulley at B is small and can
be neglected.
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1 m
4 m
x
A
B C
x
y
z
8. Determine the tensions in cables AB, AC, and AD forequilibrium.
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9. Determine the stretch in each of the two springs
required to hold the 20 kg crate in the equilibrium position
shown. Each spring has an unstretched length of 2 m and a
stiffness of k = 300 N/m.
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10. Determine the force in each cable used to lift the 9.50 Mg surge arrester at constant velocity.
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11. If the maximum allowable tension in cablesAB and AC is 2000 N, determine the maximumheight z to which the 800 N crate can be lifted.
W=800 Nyx
1.5 m
2 m
2 mz
A
B
C
z3 m F
F
Homework 2
What horizontalforce must beapplied?
12. 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.
Homework 2