The boom of a crane extends from its base at point O to its tip at point Q, as shown in the figure below. A three-dimensional coordinate system is given in this figure with coordinates for both points of O = (0,0,0) and Q = (-2, 10, 10) ft. A force with a magnitude of 10.5 kip is applied at the tip of the boom by a cable that extends from point Q to point P in the x-y plane, which has coordinates P = (9,6, 0) ft. Determine the following quantities:

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.74P: It can be show that a plane area may he represented by a vector A=A, where A is the area and ...
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The boom of a crane extends from its base at point O to its tip at point Q, as shown in the figure below. A
three-dimensional coordinate system is given in this figure with coordinates for both points of O = (0,0,0)
and Q = (-2, 10, 10) ft. A force with a magnitude of 10.5 kip is applied at the tip of the boom by a cable
that extends from point Q to point P in the x-y plane, which has coordinates P = (9,6, 0) ft. Determine the
following quantities:
(a) The force Fas a Cartesian vector.
F
=
number (rtol=0J
ZA
O
Ур
i+ number (rtol=0.
(b) The moment Mo due to force Fabout point O.
Mo= number (rtol=0,
kip - ft
(c) The magnitude of moment Mo
Mo-
i+ number (rtol=0/
number (rtol-0.01, atol=1e-05)
☺ j+
O
j+
number (rtol=0,
kip-ft o
number (rtol=0.
ek kip
℗ k
Transcribed Image Text:The boom of a crane extends from its base at point O to its tip at point Q, as shown in the figure below. A three-dimensional coordinate system is given in this figure with coordinates for both points of O = (0,0,0) and Q = (-2, 10, 10) ft. A force with a magnitude of 10.5 kip is applied at the tip of the boom by a cable that extends from point Q to point P in the x-y plane, which has coordinates P = (9,6, 0) ft. Determine the following quantities: (a) The force Fas a Cartesian vector. F = number (rtol=0J ZA O Ур i+ number (rtol=0. (b) The moment Mo due to force Fabout point O. Mo= number (rtol=0, kip - ft (c) The magnitude of moment Mo Mo- i+ number (rtol=0/ number (rtol-0.01, atol=1e-05) ☺ j+ O j+ number (rtol=0, kip-ft o number (rtol=0. ek kip ℗ k
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