1. A small peg P rests on a

spring that is contained inside

the smooth pipe. The spring

exerts an upward force of 284 N

on the peg. Determine the point

of attachment A (x, y, 0) of cord

PA so that the tension in cords

PB and PC equals 130 N and

84N, respectively.

B

A

x

0.3 m

yx

z

y

0.6 m

C

P

0.2 m0.4 m

2. Cables AB and AC can sustain a maximum tension of 500 N and

the pole can sustain a maximum compression of 390 N. Determine

the maximum weight of the lamp that can be supported in the

position shown. The force in the pole acts along the axis of the pole.

3. 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. What horizontal force must be applied?

W=800 Nyx

1.5 m

2 m2 m

z

A

B

C

z3 m

F

F

4. The end D of a pipeline is being

adjusted with a 270 N force as

shown. Determine,

a) the moment of about

the joint A,

b the moment of about

the axis of the pipe AB,

c) the shortest distance between

point A and the line of action of

.

F

F

AM

ABM

F

F

5. If the magnitude of the moment of the tension force acting at C about

point B is 1150 N.m, determine as a vector. Also determine the total

moment of the couple acting on the surface and about point B. Side AB

of the surface lie in the yz plane.

T

T

T

T

30o

300 mm800 mm

300 mm

AB

C

1000 mm1400

mm

D

500 mm

750 mm

y

x

z

100 N100 N

30o

6. Rectangular plate ADCF is held in

equilibrium by string AB which has a

tension of T=14 kN. Determine,

a) The magnitude of the moment of

about the axis DC,

b) The perpendicular distance between

lines AB and DC.

z

x

y

A (0, 5, 3) m

E (0, 2, 2)

C (4, 6, 0) m

B (6, 3, 0) m

F

D

O

7. Determine the vector expression for the moment MO of the 600 N

force about point O. The design specification for the bolt at O would

require this result.