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

Homework 2

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.

Homework 2

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

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

x

y

z

8. Determine the tensions in cables AB, AC, and AD forequilibrium.

Homework 2

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.

Homework 2

10. Determine the force in each cable used to lift the 9.50 Mg surge arrester at constant velocity.

Homework 2

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