3. The figure shows three forces acting on a pin-supported rectangular plate at points A, B, and C. Use the scalar method of computing moments in this problem. a. Compute the moment of the force at A about D and write your answer in vector form (note: you can use the scalar method to find the moment). b. Compute the magnitude and orientation (0 < < 180°) of the smallest force FB that creates the same moment about D that you found in part (a). c. If Fg = = 20 lb and 8 = 30°, compute the magnitude of the horizontal force Fc that makes the resultant moment of these three forces about D equal to zero. 16 in -24 in 30 in 23° 55 lb B 20 in C FB Fc e
3. The figure shows three forces acting on a pin-supported rectangular plate at points A, B, and C. Use the scalar method of computing moments in this problem. a. Compute the moment of the force at A about D and write your answer in vector form (note: you can use the scalar method to find the moment). b. Compute the magnitude and orientation (0 < < 180°) of the smallest force FB that creates the same moment about D that you found in part (a). c. If Fg = = 20 lb and 8 = 30°, compute the magnitude of the horizontal force Fc that makes the resultant moment of these three forces about D equal to zero. 16 in -24 in 30 in 23° 55 lb B 20 in C FB Fc e
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:3. The figure shows three forces acting on a pin-supported rectangular plate at points A, B,
and C. Use the scalar method of computing moments in this problem.
a. Compute the moment of the force at A about D and write your answer in vector form
(note: you can use the scalar method to find the moment).
b.
Compute the magnitude and orientation (0 < 0 <180°) of the smallest force Fg that
creates the same moment about D that you found in part (a).
c.
If F= 20 lb and 8 = 30°, compute the magnitude of the horizontal force Fc that
makes the resultant moment of these three forces about D equal to zero.
16 in
30 in
23°
55 lb
A
D
24 in
B
20 in
C
FB
Fc
8
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