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PROBLEM 4.43 (Continued)
PROBLEM 4.44
For the rig and crate of Prob. 4.43, and assuming that cable
is anchored at F as shown, determine (a) the required tension
in cable ADCF if the maximum value of the couple at E as x
varies from 1.5 to 17.5 ft is to be as small as possible, (b) the
corresponding maximum value of the couple.
PROBLEM 4.45
A 175-kg utility pole is used to support at C the end of an electric
wire. The tension in the wire is 600 N, and the wire forms an angle
of 15° with the horizontal at C. Determine the largest and smallest
allowable tensions in the guy cable BD if the magnitude of the
couple at A may not exceed 500 N·m.
PROBLEM 4.46
Knowing that the tension in wire BD is 1300 N, determine the
reaction at the fixed support C of the frame shown.
PROBLEM 4.47
Determine the range of allowable values of the tension in wire
BD if the magnitude of the couple at the fixed support C is not
to exceed
100 N · m.
PROBLEM 4.48
Beam AD carries the two 40-lb loads shown. The beam is held by a
fixed support at D and by the cable BE that is attached to the
counterweight W. Determine the reaction at D when (a) 100W
lb, (b)
90 lb.W
PROBLEM 4.49
For the beam and loading shown, determine the range of values of
W for which the magnitude of the couple at D does not exceed 40
lb ft.
PROBLEM 4.50
An 8-kg mass can be supported in the three different ways shown. Knowing that the pulleys have a
100-mm radius, determine the reaction at A in each case.
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PROBLEM 4.51
A uniform rod AB with a length of l and weight of W is suspended
from two cords AC and BC of equal length. Determine the angle θ
corresponding to the equilibrium position when a couple
M
is applied
to the rod.
PROBLEM 4.52
Rod AD is acted upon by a vertical force
P
at end A and by two equal
and opposite horizontal forces of magnitude Q at points B and C.
Neglecting the weight of the rod, express the angle
corresponding to
the equilibrium position in terms of P and Q.
