The 4.3-kN force F is applied at point A. (a) Compute the moment of F about point O, expressing it both as a scalar (positive if CCW, negative if CW) and as a vector quantity. (b) Determine the coordinates of the points on the x- and y-axes about which the moment of F is zero. Assume xA = 1.2 m, YA = 1.8 m, a = 7, b = 11. у, m A (x „ Y,) a –x, m

Classical Dynamics of Particles and Systems
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Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics
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The 4.3-kN force F is applied at point A.
(a) Compute the moment of F about point O, expressing it both as a scalar (positive if CCW, negative if CW) and as a vector quantity.
(b) Determine the coordinates of the points on the x- and y-axes about which the moment of F is zero.
Assume xA = 1.2 m, yA = 1.8 m, a = 7, b = 11.
у, m
A (x y)
la
b
-x, m
10
Answers:
(a) Scalar:
Mo =
i
kN-m
Vector:
Mo = ( i
i+
i
k) kN-m
On the x
(b)
axis:
X =
i
On the y
y =
i
m
axis:
Transcribed Image Text:The 4.3-kN force F is applied at point A. (a) Compute the moment of F about point O, expressing it both as a scalar (positive if CCW, negative if CW) and as a vector quantity. (b) Determine the coordinates of the points on the x- and y-axes about which the moment of F is zero. Assume xA = 1.2 m, yA = 1.8 m, a = 7, b = 11. у, m A (x y) la b -x, m 10 Answers: (a) Scalar: Mo = i kN-m Vector: Mo = ( i i+ i k) kN-m On the x (b) axis: X = i On the y y = i m axis:
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