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 shownis equivalent to a force-couple system consisting of Rand M, = 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
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter3: Resultants Of Force Systems
Section: Chapter Questions
Problem 3.12P: When the three forces are replaced by an equivalent force-couple system with the force at point O,...
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1. Answer each problem following the proper format (GIVEN, REQUIRED, SOLUTION). 2. Do not round off intermediate values when using them to solve subsequent values; however, they may be written up to 4 decimal places in your answer sheets. Final answers should be rounded off up to 4 DECIMAL PLACES. 3. Box the final answers.
The force-couple systemshown 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 shownis equivalent to a force-couple system consisting of R and M; = 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.
1YZ kips
50
10 in
1X in
10 in
20 kips
35 kips
8x kips
2Y in
M.
50
1YZ kips
D
Parameters
X= 6, Y = 2, Z= 0
1X in
13 in
2Y in
24 in
8X kips
83 kips
1YZ kips
145 kips
u 8t
Transcribed Image Text:The force-couple systemshown 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 shownis equivalent to a force-couple system consisting of R and M; = 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. 1YZ kips 50 10 in 1X in 10 in 20 kips 35 kips 8x kips 2Y in M. 50 1YZ kips D Parameters X= 6, Y = 2, Z= 0 1X in 13 in 2Y in 24 in 8X kips 83 kips 1YZ kips 145 kips u 8t
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