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. 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 Compute the magnitude and orientation (0 << 180°) of the smallest force Fg that creates the same moment about D that you found in part (a). 30 in 23° 55 16 A 24 in B 20 in C FB Fc

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter2: Basic Operations With Force Systems
Section: Chapter Questions
Problem 2.50P: The magnitude of the force F is 55 lb. Calculate the moment of F about the x-axis using (a) the...
icon
Related questions
Question
Help!! Don’t copy last posted question
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
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
Expert Solution
Step 1

Given:

FA=55 lbθ=23°

Solution:

(a)

The force component of force at A about x axis :

FAx=55cos23°=50.63 lb

The force component in y direction:

FAy=55sin23°=21.49 lb

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
International Edition---engineering Mechanics: St…
International Edition---engineering Mechanics: St…
Mechanical Engineering
ISBN:
9781305501607
Author:
Andrew Pytel And Jaan Kiusalaas
Publisher:
CENGAGE L