Recent content by Menisto

Homework Statement A particle of mass m whose total energy is twice its rest energy collides with an identical particle at rest. If they stick together, what is the mass of the resulting composite particle? What is its velocity?Homework Equations E = (gamma)mc^2 p = (gamma)mu The Attempt at...

Thank you, that works out well.

Homework Statement Suppose a fluid is flowing down a pipe that has a circular cross-section of radius a. Assuming that the velocity V of the fluids depends only on its distance from the centre of the pipe, the equation satisfied by V is (1/r)(d/dr)(r dV /dr) = -P where P is a...

Ok, thank you. I thought I was going crazy there for a second, too many hours of homework. It doens't help when the professor makes his own course packet, and has to correct problems and answers for every homework set. It gets a little frustrating.

Am I correct in assuming this?

A closed cubical box made of aluminum sheet floats in water with (1/4) of the volume above water. Determine the thickness of the sheet. I first found out what the density would need to be for this orientation: 75% below water or X % = density of box/ density of water .75 = p/(1000)...

Thank you! That works...

Sorry, I tried to upload a picture but it was too large. The 1000 N force is directed downward at the end of the rod. The hinge is located at the opposite end, attached to the ceiling. The rod is hanging 30 degrees to the right of the vertical and sitting on a peg located at point C. Point...

A 30 kg rod one meter long is supported by a hinge A hanging from the ceiling. The rod rests on a peg "C" at a point .7 meters along the rod away. A vertical force of 1000 N is applied to the end of the rod. The rod rests at an angle of 30 degress from the vertical. Find the x and y...

I am currently in an introductory calculus based physics course. The text we use is a course packet written by the instructor that I don't find particularly lucid beyond set scenarios. I've been using Kleppner's "Introduction to Mechanics" and love its rigorous, mathematically concentrated...

Thanks for the help!

I feel so stupid, It's just the double integral of with angles 0 to pi/4 and radius 0 to sin[t], times 2 (symmetry).

I don't get what you're asking. The radial line of the cosine circle would start at [.5, 0] and go to cos[t]?

Symmetry: Say if I were to describe the region from the center of the cosine circle. The angle would be from Pi/4 to Pi/2. Now, if I flipped the portion of the sin circle corresponding to these angles, it would again look like the region. Would the radius then go from 0 to Cos[t] - Sin[t]...

I'm struggling to see how I would describe this region using only a single double integral, or would I need two?