The force-couple system shown acts on a trapezoidal plate. a. Determine the value of M, if the system shown is equivalent to a single force acting at point C. b. The system shown is equivalent to a force-couple system consisting of R and M2 = 3000 kip-in clockwise. If M, in this case is 120 kip-in counterclockwise, determine the point of action of the resultant force R along line CD.

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter3: Resultants Of Force Systems
Section: Chapter Questions
Problem 3.4P: The four forces shown act on the rollers of an in-line skate. Determine the equivalent force-couple...
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PROBLEM 3
The force-couple system shown acts on a trapezoidal plate.
a. Determine the value of M, if the system shown is equivalent to a single force acting at point C.
b. The system shown is equivalent to a force-couple system consisting of R and M2 = 3000 kip-in
clockwise. If M, in this case is 120 kip-in counterclockwise, determine the point of action of the
resultant force Ralong line CD.
50°
1YZ kips
10 in
1X in
10 in
A
|20 kips
35 kips
8x kips
2Y in
M,
50°
1YZ kips
C
D
Parameters
X = 4, Y = 8, Z = 7
1X in
13 in
2Y in
24 in
8X kips
83 kips
145 kips
1YZ kips
18 in
Transcribed Image Text:PROBLEM 3 The force-couple system shown acts on a trapezoidal plate. a. Determine the value of M, if the system shown is equivalent to a single force acting at point C. b. The system shown is equivalent to a force-couple system consisting of R and M2 = 3000 kip-in clockwise. If M, in this case is 120 kip-in counterclockwise, determine the point of action of the resultant force Ralong line CD. 50° 1YZ kips 10 in 1X in 10 in A |20 kips 35 kips 8x kips 2Y in M, 50° 1YZ kips C D Parameters X = 4, Y = 8, Z = 7 1X in 13 in 2Y in 24 in 8X kips 83 kips 145 kips 1YZ kips 18 in
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