homework 2 equilibrium of particles - …kisi.deu.edu.tr/emine.cinar/b15 statics_homework...
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HOMEWORK 2
EQUILIBRIUM OF PARTICLES
Homework 2
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.
Homework 2
2. The collar A of mass m may slide freely on the horizontal frictionless rod. The spring attached to the collar has a stiffness of 10 N/cm and it is undeformed when the collar is directly below support B. Determine the magnitude of the force P required to maintain equilibrium.
9 cm
12 cm
B
A P
m
Homework 2
3. A scale is constructed using the 10 kg mass A, the 2 kg pan P and the pulley and cord arrangement. Cord BCA is 2 m long. If s = 0.75 m, determine the mass D in the pan. Neglect the size of the pulley.
Homework 2
4. The pipe is held in place by the vice. If the bolt exerts a force of 250 N on the pipe in the direction shown, determine the forces FA and FB that the smooth contacts at A and B exert on the pipe.
Homework 2
Homework 2
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.
Homework 2
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.
Homework 2
1 m
4 m
x
A
B C
8. Straight bar AB is fixed in space. Spring CD has a stiffness of
3 N/mm and its unstretched length is 200 mm. If there is no
friction between collar C and bar AB,
Homework 2
determine the weight W
of the collar that
produces the equilibrium
condition shown and the
reaction between the
collar and bar AB.
x
y
z
9. Determine the tensions in cables AB, AC, and AD for equilibrium.
Homework 2
10. 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.
Homework 2
11. Determine the force in each cable used to lift the 9.50 Mg surge arrester at constant velocity.
Homework 2
12. If the maximum allowable tension in cables AB and AC is 2000 N, determine the maximum height z to which the 800 N crate can be lifted.
W=800 N y x
1.5 m
2 m
2 m z
A
B
C
z 3 m F
F
Homework 2
What horizontal force must be applied?