Recent content by shanepitts

Are there any contemporary ice engines in use?

Noting that ice expands by about 9%, why isn't it possible ot build a heat engine from this natural process?

Homework Statement I am currently trying to calculate the moment and products of inertia of a ring rotating about the x-axis at the moment the ring lies in the xy plane. The problem is that the notations I have from textbook are denoted for Cartesian coordinates. i.e. Ixx=∑i mi(yi2+zi2), and...

Thanks.

Thank you. But are my integral limits correct considering it is a ring? Moreover, shall I integrate with respect to y, x, and/or θ, or just one variable?

Homework Statement A thin ring of radius r is constrained to rotate with constant angular velocity ω as shown in attached picture. Let the linear mass density of the ring be ρ(θ)=ρ0(2+sin2θ) where ρ0 is constant. a) Find the angular momentum L of the ring about O, at the instant the ring is in...

What is the difference between partial derivatives and gradients, if there is any? I'm asking because I need to derive a function " f (T,P) " for air convection; where T is temperature and P is pressure and both are variables in this case. Thanks

Homework Statement Find the driving frequencies at which the mechanical energy of the forced oscillation is 64 % of its maximum value. (Do not assume weak damping.) Homework Equations E∝A2ω2, where A is amplitude & ω is the angular frequency. The Attempt at a Solution Of course this...

Homework Statement Can (a), and (b) be made continuous by suitably defining them at (0, 0)? I'm not sure if I answered it properly; especially part (b). Please help. (a) [x^2+y^2sin(x)]/[x+y] (b) [x^2ycos(z)]/(x^3+y^2+z^2) Homework Equations Taking the limit from different direction[/B]The...

Thank you, this helps a great deal cheers

Here are the definitions my professor provided us

Homework Statement Let {Ei: 1≤i≤n} be a finite family of closed sets. Then ∪i=1n Ei is closed. Homework Equations Noting that (Ei)c is open The Attempt at a Solution Honestly, I have no idea where to start. I tried to demonstrate that Eai≥Ei if a is a constant greater than zero. Then...

Thank you, But how can I calculate the work down on each leg of the triangle? Shall I integrate ∫C F⋅dr along each line, using the limits as the length of each leg, and then sum them up?

Homework Statement Homework Equations ∫F⋅dr=W The Attempt at a Solution

Homework Statement Integrate: Homework Equations The Attempt at a Solution I tried to get rid of the velocity in the numerator on the left side to use the relevant equation but to no avail. Any tricks on how i can integrate this? Also, this a small part of a larger mechanics problem...