Homework Statement
[/B]
Homework Equations
a⋅(b x a) = 0
The Attempt at a Solution
Is my working below correct? In particular, can you apply the rCB to both the first part of the bracket (0.2j) and the second part (w x rCB) individually like that?
My second question relates to:
Is...
Ah that makes sense! This question is from an exam paper set by my university's engineering department a few years ago, is there any way to determine that this rod is infinitely thin from the wording of the question? Does the ''uniform slender'' part suggest this?
Also, I was wondering why...
If the moment of inertia relative to the parallel axis is zero, then why is the moment of inertia about axis ZZ (in my data book) not 0? This axis is parallel to the cylinder?
Homework Statement
Homework Equations
ml2/12
The Attempt at a Solution
So according to my databook:
The axis x'-x' in the question corresponds to axis ZZ in the databook image above. That means in terms of radius, the moment of inertia about axis x'-x' is mr2/2. So in light of this...
Homework Statement
Homework Equations
RAO = b(Sinβj+Cosβk)
The Attempt at a Solution
[/B]
The box in red is ω. However I am unsure of where they got the box in blue from? As mentioned above, RAO = b(Sinβj+Cosβk) so not sure where they got the box in blue from? I know of the vector triple...
Homework Statement
Homework Equations
N/A
The Attempt at a Solution
I know that they got a rank of 2 since there are 2 linearly independent columns but what if we decided to count rows? In that case we would have 4 linearly independent rows which would suggest the rank is 4? How do we...
Homework Statement
Homework Equations
N/A
The Attempt at a Solution
The left hand side (red box) is the data sheet provided to us in the exam. The right hand side (blue box) is Wolfram Alpha. The data sheet says that the inverse Laplace transform of 1/s is equal to u(t) (i.e. the unit step)...
Homework Statement
Homework Equations
The Attempt at a Solution
I have done question 1.18 and I understand it completely. However, for question 2.5, I do not understand how they got G(s)? Why isn't the G(s) in question 2.5 the same as G(s) at the bottom of question 1.18? I asked my lecturer...
Homework Statement
Homework Equations
N/A
The Attempt at a Solution
I understand how they got the answer and the calculations they did but I have 3 questions about this screenshot.
1) Why the box in red is the transfer function? Is there a way to tell this from the Y(s) = ... expression?
2)...
Sorry for the late reply. I am still confused. I just want to know how they (mathematically) got from the left hand side to the right. I don't understand how integrating the left hand side yields the right hand side.
Homework Statement
[/B]
Homework Equations
N/A
The Attempt at a Solution
What I am confused about is where they got the (1/4)mR^2 + (1/12)ml^2 and (1/2)mR^2 from? I am guessing that these came from the integral of y'^2 + z'^2 and x'^2 +y'^2 but I don't understand how this happened exactly...
Homework Statement
Homework Equations
N/A
The Attempt at a Solution
I am confused as to where the ω3sin(θ)k term disappeared to? It is not included in the very last line? I asked my lecturer and he said it's ''constant'' but he kind of shrugged off the question. I understand everything...
So -k·((-1)rCD x rBA)=(-1)(-k)·(rCD x rBA) = k·(rCD x rBA)?
I was thinking it would be something along these lines but I wasn't sure how to pull out the negative when dealing with vectors.
Ah I never noticed that! So -rCD·(k x rBA) = -k·(rBA x rCD) but I'm still confused in terms of how they got from -k·(rBA x rCD) to k·(rCD x rBA)? I know that A x B = -B x A so -k·(rBA x rCD) can be written as -k·(-rCD x rBA) and I'm guessing the two negatives cancel somehow but don't know how..
Homework Statement
Homework Equations
N/A
The Attempt at a Solution
I have 2 (basic) questions about this system:
1) The question says that ωAB = ωABk, I understand that bold indicates vectors whilst the plain text indicates a magnitude so ωAB (magnitude) multiplied by k (direction vector)...
Homework Statement
http://photouploads.com/images/8ba21e.png
{moderator's not: Inserted image so it's visible without having to follow a link}
2. Homework Equations
a·(b x c) = b·(c x a)
The Attempt at a Solution
How did they get from the (b) to (c)? In particular, I am referring to the...
Homework Statement
Homework Equations
Torque = Force x Distance
Shear stress = Force/Area
3. The Attempt at a Solution
I know how to do this question as I've seen the mark scheme. However, initially I did it wrong. What I did was as follows:
Torque = Force x Distance
therefore...
Homework Statement
How do we obtain:
w = q - Δh
Homework Equations
The Attempt at a Solution
If you neglect the second half of the SFEE and simplify we get:
What is the next step from the last line in the above image to
w = q - Δh
I mean dw/dt = dq/dt - Δh
so if we multiply by dt we...
Homework Statement
Homework Equations
N/A
The Attempt at a Solution
I am confused what 5-5b and 5b-6 represent in the above TS diagram. I know that 1-2 is compression, 2-3 is cooling, 3-4 is compression and 4-5 is regeneration (since these are indicated in the block diagram) but as for 5-5b...
I edited the above post to include the isostere question but I have now found out that it means constant concentration. However, I can't seem to edit the above post to reflect this hence I decided to post this message.
Homework Statement
Homework Equations
N/A
The Attempt at a Solution
My question is a simple one: how is the above equation for COPref different to the COPref equations I've already encountered (such as COPref = Qc/Win = (h1-h4)/(h2-h1). Is the above just a different form of these? Or is the...
Homework Statement
http://photouploads.com/images/ae1d2f.png
Homework Equations
N/A
The Attempt at a Solution
In the image linked above, I have copied and pasted 4 different slides. In the last slide, I am confused how they got the expression for T2 (the working out). I know that they did...