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PROBLEM 3.58
In Problem 3.57, determine the moment about the diagonal
AD of the force exerted on the frame by portion BG of the
cable.
PROBLEM 3.57 The frame ACD is hinged at A and D
and is supported by a cable that passes through a ring at B
and is attached to hooks at G and H. Knowing that the
tension in the cable is 450 N, determine the moment about
the diagonal AD of the force exerted on the frame by
portion BH of the cable.
PROBLEM 3.59
The triangular plate ABC is supported by ball-and-socket
joints at B and D and is held in the position shown by
cables AE and CF. If the force exerted by cable AE at A is
55 N, determine the moment of that force about the line
joining Points D and B.
PROBLEM 3.60
The triangular plate ABC is supported by ball-and-socket
joints at B and D and is held in the position shown by
cables AE and CF. If the force exerted by cable CF at C is
33 N, determine the moment of that force about the line
joining Points D and B.
PROBLEM 3.61
A regular tetrahedron has six edges of length a. A force P is
directed as shown along edge BC. Determine the moment of P
about edge OA.
PROBLEM 3.62
A regular tetrahedron has six edges of length a. (a) Show that
two opposite edges, such as OA and BC, are perpendicular to
each other. (b) Use this property and the result obtained in
Problem 3.61 to determine the perpendicular distance between
edges OA and BC.
PROBLEM 3.63
Two forces
1
F
and
2
F
in space have the same magnitude F. Prove that the moment of
1
F
about the line
of action of
2
F
is equal to the moment of
2
F
about the line of action of
1
F
.
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PROBLEM 3.64
In Prob. 3.55, determine the perpendicular distance
between rod AB and the line of action of P.
PROBLEM 3.55 The 23-in. vertical rod CD is welded to
the midpoint C of the 50-in. rod AB. Determine the
moment about AB of the 235-lb force P.
PROBLEM 3.65
In Prob. 3.56, determine the perpendicular distance
between rod AB and the line of action of Q.
PROBLEM 3.56 The 23-in. vertical rod CD is welded to
the midpoint C of the 50-in. rod AB. Determine the
moment about AB of the 174-lb force Q.
PROBLEM 3.66
In Problem 3.57, determine the perpendicular distance
between portion BH of the cable and the diagonal AD.
PROBLEM 3.57 The frame ACD is hinged at A and D
and is supported by a cable that passes through a ring at B
and is attached to hooks at G and H. Knowing that the
tension in the cable is 450 N, determine the moment about
the diagonal AD of the force exerted on the frame by
portion BH of the cable.
PROBLEM 3.67
In Problem 3.58, determine the perpendicular distance
between portion BG of the cable and the diagonal AD.
PROBLEM 3.58 In Problem 3.57, determine the moment
about the diagonal AD of the force exerted on the frame by
portion BG of the cable.
PROBLEM 3.57 The frame ACD is hinged at A and D
and is supported by a cable that passes through a ring at B
and is attached to hooks at G and H. Knowing that the
tension in the cable is 450 N, determine the moment about
the diagonal AD of the force exerted on the frame by
portion BH of the cable.
