Chapter 2 describes on research methodologyDeskripsi lengkap
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Accounting
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PROBLEM 2.113
A rectangular plate is supported by three cables as shown. Knowing that the tension in cable AC is 15 lb, determine the weight of the plate.
SOLUTION
The (vector) force in each cable can be written as the product of the (scalar) force and the unit vector along the cable. That is, with AB = ( 32 in.) i − ( 48 in.) j + ( 36 in.) k
AB =
2 2 2 ( −32 in.) + ( −48 in.) + ( 36 in.) =
68 in.
T
=T
AB
= T
AB
AB
AB
AB
= T
T
=
T AB
− ( 32 in.) i − ( 48 in.) j + ( 36 in.) k
( −0.4706i − 0.7059j + 0.5294k )
AB
68 in.
AB
AC = ( 45 in.) i − ( 48 in.) j + ( 36 in.) k
and AC =
2 2 2 ( 45 in.) + ( −48 in.) + ( 36 in.) =
75 in.
T
=T
AC
= T
AC
T
AC AC
AC
=
= T
AC
T AC
( 45 in.) i − ( 48 in.) j + ( 36 in.) k
75 in.
(
AC0 .60i
− 0.64j + 0.48k )
AD = ( 25 in.) i − ( 48 in.) j − ( 36 in.) k