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.

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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Numerical Calculations

In the mid-20th century, the availability and the growth in power of digital computers led to the increase in the mathematical model in the field of engineering and science. The analysis of these detailed models needs to be increased.

Question

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

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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
The force-couple system shown acts on a trapezoidal plate. a. Determine the value of M1 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 M1 in this case is 120 kip-in counterclockwise, determine the point of action of the resultant force R along line CD.
The force-couple system shown acts on a trapezoidal plate.a. Determine the value of M1 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-inclockwise. If M1 in this case is 120 kip-in counterclockwise, determine the point of action of theresultant force R along line CD.
Subject : Statics of rigid bodies
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