PROBLEM 3.147
A 300–N force P is applied at Point A of the bell crank shown.
(a) Compute the moment of the force P about O by resolving it
into horizontal and vertical components. (b) Using the result of
part (a), determine the perpendicular distance from O to the
line of action of P.
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PROBLEM 3.148
A winch puller AB is used to straighten a fence post. Knowing that the tension in cable BC is 1040 N and
length d is 1.90 m, determine the moment about D of the force exerted by the cable at C by resolving that
force into horizontal and vertical components applied (a) at Point C, (b) at Point E.
PROBLEM 3.149
A small boat hangs from two davits, one of which is shown in
the figure. The tension in line ABAD is 82 lb. Determine the
moment about C of the resultant force RA exerted on the davit
at A.
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PROBLEM 3.150
Consider the volleyball net
shown. Determine the angle
formed by guy wires AB and
AC.
PROBLEM 3.151
A single force P acts at C in a direction perpendicular to
the handle BC of the crank shown. Determine the moment
Mx of P about the x–axis when θ = 65°, knowing that
My = −15 N · m and Mz = −36 N · m.
PROBLEM 3.152
A small boat hangs from two davits, one of which is shown in
the figure. It is known that the moment about the z–axis of the
resultant force
A
R
exerted on the davit at A must not exceed
279 lb⋅ft in absolute value. Determine the largest allowable
tension in line ABAD when
6x=
ft.
PROBLEM 3.153
In a manufacturing operation, three holes are drilled
simultaneously in a workpiece. If the holes are
perpendicular to the surfaces of the workpiece, replace the
couples applied to the drills with a single equivalent
couple, specifying its magnitude and the direction of
its axis.
PROBLEM 3.154
A 260–lb force is applied at A to the rolled–steel section shown. Replace that
force with an equivalent force–couple system at the center C of the section.
PROBLEM 3.155
The force and couple shown are to be replaced by an equivalent single force.
Knowing that P = 2Q, determine the required value of α if the line of action
of the single equivalent force is to pass through (a) Point A, (b) Point C.
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PROBLEM 3.156
A 77–N force F1 and a 31–N ⋅ m
couple M1 are applied to corner E of
the bent plate shown. If F1 and M1
are to be replaced with an equivalent
force–couple system (F2, M2) at
corner B and if (M2)z = 0, determine
(a) the distance d, (b) F2 and M2.