Problem 4: Inputs: ● ● ● a = 1.2 m b = 0.5 m P = 50 N Table not required, but feel free to use it if you like We are going to put this system in equilibrium. We haven't talked much about equilibrium yet, but that's okay. In order for a body to be in equilibrium, we need the sum of the forces to equal zero, and the sum of the moments about any point to equal zero. A O FA P (a) Let's start by summing moments about point A. Determine the magnitude of FB such that ΣMA = 0. In other words, compute FB such that the net moment about point A is zero. (b) Now let's repeat the process at B. Sum moments about point B and compute the magnitude of FA required to make the net moment about point B equal zero (EMB = 0). B FB (c) Okay, that's all good, but did this satisfy our force summation? Check to see if the vector sum of the forces equals zero. (Cool right?) (d) Out of curiosity, sum moments about point C. What is Mc? Is this as expected?
Problem 4: Inputs: ● ● ● a = 1.2 m b = 0.5 m P = 50 N Table not required, but feel free to use it if you like We are going to put this system in equilibrium. We haven't talked much about equilibrium yet, but that's okay. In order for a body to be in equilibrium, we need the sum of the forces to equal zero, and the sum of the moments about any point to equal zero. A O FA P (a) Let's start by summing moments about point A. Determine the magnitude of FB such that ΣMA = 0. In other words, compute FB such that the net moment about point A is zero. (b) Now let's repeat the process at B. Sum moments about point B and compute the magnitude of FA required to make the net moment about point B equal zero (EMB = 0). B FB (c) Okay, that's all good, but did this satisfy our force summation? Check to see if the vector sum of the forces equals zero. (Cool right?) (d) Out of curiosity, sum moments about point C. What is Mc? Is this as expected?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Problem 4:
Inputs:
●
●
●
a = 1.2 m
b = 0.5 m
P = 50 N
Table not required, but feel free to use it if you like
We are going to put this system in equilibrium.
We haven't talked much about equilibrium yet,
but that's okay. In order for a body to be in
equilibrium, we need the sum of the forces to
equal zero, and the sum of the moments about
any point to equal zero.
FA
a
P
b
(a) Let's start by summing moments about point A. Determine the magnitude of FB such that >MA = 0.
In other words, compute FB such that the net moment about point A is zero.
(b) Now let's repeat the process at B. Sum moments about point B and compute the magnitude of FA
required to make the net moment about point B equal zero (XMB = 0).
B
FB
(c) Okay, that's all good, but did this satisfy our force summation? Check to see if the vector sum of the
forces equals zero. (Cool right?)
(d) Out of curiosity, sum moments about point C. What is Mc? Is this as expected?
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