a) Find the x−coordinate and y− coordinate of the point E=(x,y,−0.35m) on the line of action of F¯.  x = ___m y =  ___m b) If  the x−component of F is known, and F=−104Ni+Fyj+Fzk, calculate the values of Fy and Fz. Fy = ___ N Fz = ___ N c) What will the equivalent force and couple moment at point A be for the force system consisting of your calculated force F in part (b) and the couple with moment M=860Nm? Answer the question by completing the statements. Equivalent force at point A = ( __ i + __ j + __?) k) N.  Equivalent couple moment at point A = ( __ i + __ j + __k ) Nm.  Part (d) is not related to Parts (a), (b) and (c); this question stands on its own.   d) The line of action of the force F is set so that the moment of F about A is a maximum.  If it is known that  F=100Ni − 100Nj + vk , calculate the value of v. v = N Part (e) is not related to Parts (a), (b), (c) and (d); this question stands on its own. e) Let F=(150i−150j+100k)N. Calculate the magnitude of the moment of F about the axis through points A and C. Magnitude of the moment  = __??

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a)

Find the x−coordinate and y− coordinate of the point E=(x,y,−0.35m) on the line of action of F¯. 

x = ___m

y =  ___m

b)

If  the x−component of F is known, and F=−104Ni+Fyj+Fzk, calculate the values of Fy and Fz.

Fy = ___ N

Fz = ___ N

c)

What will the equivalent force and couple moment at point A be for the force system consisting of your calculated force F in part (b) and the couple with moment M=860Nm? Answer the question by completing the statements.

Equivalent force at point A = ( __ i + __ j + __?) k) N. 

Equivalent couple moment at point A = ( __ i + __ j + __k ) Nm. 

Part (d) is not related to Parts (a), (b) and (c); this question stands on its own.

 

d)

The line of action of the force F is set so that the moment of F about A is a maximum. 

If it is known that  F=100Ni − 100Nj + vk , calculate the value of v.

v = N


Part (e) is not related to Parts (a), (b), (c) and (d); this question stands on its own.

e)

Let F=(150i−150j+100k)N.

Calculate the magnitude of the moment of F about the axis through points A and C.

Magnitude of the moment  = __??

[Question ID 281076] A rectangular block with the shown measurements is subjected to a force F acting at D and a couple with moment M with
moment axis along the line segment BD.
The line of action of F is unspecified, and the line of action
M is through the points B and Das shown in the figure.
The vector ūAD = 0.7478 i – 0.6327 j + 0.2013 k is a unit vector parallel to the line through points A and D.
Note: the figure is not necessarily to scale.
F
2.2 m
y
0.7 m
D
A
C
В
M
In Parts (a), (b) and (c), the line of action of F is set so that the moment of F about A is a minimum.
2.6 т
Transcribed Image Text:[Question ID 281076] A rectangular block with the shown measurements is subjected to a force F acting at D and a couple with moment M with moment axis along the line segment BD. The line of action of F is unspecified, and the line of action M is through the points B and Das shown in the figure. The vector ūAD = 0.7478 i – 0.6327 j + 0.2013 k is a unit vector parallel to the line through points A and D. Note: the figure is not necessarily to scale. F 2.2 m y 0.7 m D A C В M In Parts (a), (b) and (c), the line of action of F is set so that the moment of F about A is a minimum. 2.6 т
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