978-0073398242 Chapter 2 Solution Manual Part 7

PROBLEM 2.59

For the situation described in Figure P2.48, determine (a)

the value of

α

for which the tension in rope BC is as small

as possible, (b) the corresponding value of the tension.

PROBLEM 2.60

Two cables tied together at C are loaded as shown. Determine the

range of values of Q for which the tension will not exceed 60 lb in

either cable.

PROBLEM 2.61

A movable bin and its contents have a combined weight of 2.8 kN. Determine

the shortest chain sling ACB that can be used to lift the loaded bin if the

tension in the chain is not to exceed 5 kN.

PROBLEM 2.62

For W = 800 N, P = 200 N, and d = 600 mm,

determine the value of h consistent with

equilibrium.

PROBLEM 2.63

Collar A is connected as shown to a 50–lb load and can

slide on a frictionless horizontal rod. Determine the

magnitude of the force P required to maintain the

equilibrium of the collar when (a)

4.5 in.,x=

(b)

15 in.x=

PROBLEM 2.64

Collar A is connected as shown to a 50–lb load and can

slide on a frictionless horizontal rod. Determine the

distance x for which the collar is in equilibrium when

P = 48 lb.

PROBLEM 2.65

Three forces are applied to a bracket as shown. The directions of the two 150–N

forces may vary, but the angle between these forces is always 50°. Determine

the range of values of α for which the magnitude of the resultant of the forces

acting at A is less than 600 N.

PROBLEM 2.66

A 200–kg crate is to be supported by the rope–and–pulley arrangement shown.

Determine the magnitude and direction of the force P that must be exerted on

the free end of the rope to maintain equilibrium. (Hint: The tension in the rope is

the same on each side of a simple pulley. This can be proved by the methods of

Ch. 4.)

PROBLEM 2.67

A 600–lb crate is supported by several rope-

and–pulley arrangements as shown. Determine

for each arrangement the tension in the rope.

(See the hint for Problem 2.66.)

PROBLEM 2.68

PROBLEM 2.67 A 600–lb crate is supported

by several rope–and–pulley arrangements as

shown. Determine for each arrangement the

tension in the rope. (See the hint for Problem

2.66.)