Recent content by grassstrip1

Homework Statement Air in an insulated cylinder is separated by a piston into two equal valves. When the pin is removed, the system comes to a new equilibrium position. There is friction between the piston and the cylinder walls but friction does not influence the mechanical equilibrium...

Thank you! The formula for the vandermonde determinant was exactly what I needed!

The problem I have is this: Show that \begin{bmatrix} 1 & 1 & 1 \\ λ_{1} & λ_{2} & λ_{3} \\ λ_{1}^{2} & λ_{2}^{2} & λ_{3}^{2} \end{bmatrix} Has determinant $$ (λ_{3} - λ_{2}) (λ_{3} - λ_{1}) (λ_{2} - λ_{1}) $$ And generalize to the NxN case (proof not needed)Obviously solving the 3x3 was...

Ah that would explain it. I think i need to find theta using Newton's laws. Then I can apply it to the conservation of angular momentum. Thank You.

Your work for the first part is correct the time is 29.9 seconds to reach the ground. For the second part what you did is incorrect the path is a parabola so the diagonal distance is not what you wrote there. To find the horizontal displacement use d = vxit + 1/2 ax t2 You know the initial...

1. Homework Statement When the 3.2-kg bob is given a horizontal speed of 1.5 m/s, it begins to rotate around the horizontal circular path A. The force F on the cord is increased, the bob rises and then rotates around the horizontal circular path B. (picture included) Homework Equations L = I ω...

Hey everyone I just had a quick thought that was bothering me. For a set to be a basis it must be linearly independent and span the vector space. I've seen cases however of only two vectors forming a basis for R4 I don't see how two vectors could span 4 space or am I missing something. Thanks!

Thank you for the replies! I left a little something out of the problem, it said find the z component so that it lies on the plane. Wouldn't that make it just one specific point?

Hi everyone! I'm having some issues with this problem for linear algebra. I understand parametric equations fairly but I'm confused about the unit vector notation 1) Consider the plane r(s,t)=2i + (t-s) j + (1+3s-5t) k find the z component of the point (2,-1, z0) For what values of s and t is...

Okay thank you! I'm just wondering how you can tell the answer is positive pi and not negative since both would give the same sign for velocity

Homework Statement I've attached the question where the graph can be found. Essentially I have no problem determining A=0.04M K= 10π rad/m λ=0.2M ω=π/5 rad/s I'm having trouble choosing what ø should be. Homework Equations y(x,t)= 0.04sin(10πx - π/5t +ø) The Attempt at a...