Homework Statement
A hollow cylinder has mass m, an outside radius R2, and an inside radius R1. Use integration to show that the moment of inertia about its axis is given by I = 1/2*m(R2^2 + R1^2)
Homework Equations
dm = rho*dV = 2*pi*rho*h*r*dr
The Attempt at a Solution
This...
gneill, thank you for your response. Not sounding pejorative I should point out a few things. This is sort of exactly what I was getting at, so I think you might have misunderstood what I wrote. You're right I didn't consider the energies, but intuitively, I thought the amplitude would equal x...
I just realized they've used x=-2.50 cm, but as far as I am concerned the solution to the equation x=A×cos(ωt + δ) would still be 0. Although, if we treat the amplitude as an absolute value, we get pi, the same answer as yielded by the other solution. So it was merely a question of the sign...
dikmik, thank you for your response. I just had another peek in the solutions manual, and interestingly, they've used A=2.50cm=x0 for the amplitude later in the solution. But then, x=A×cos(ωt + δ), solved for δ, should be cos(δ)=1 → δ=0, which is self-evident, and not...
Homework Statement
An object of mass m is suspended from a vertical spring of force constant 1800 N/m. When the object is pulled down 2.50 cm from equilibrium and released from rest, the object oscillates at 5.500 Hz. a) Find m, b) Find the amount the spring is stretched from its unstressed...
Homework Statement
Hello, I'm a little confused about the statements regarding conductors grounded to large conductors, as the Earth. Basically, my physics textbook says that metal sphere with a positive charge and ground it to the Earth, electrons from the ground will neutralize the positive...
Homework Statement
Hello, this is not actually a homework problem. I just can't seem to understand the derivation of the average translational kinetic energy of a molecule. I am startled by the way the velocities are added.
Homework Equations
My undergraduate level textbook says...
Hello, maybe this is the wrong place to post this, but I'll give it a try. It's not a homework problem, but rather how to interpret my textbook.
I'm using Tipler & Mosca and I find the section about the electric field kind of slippery. It defines the electric field as in many other sources...
Homework Statement
We have two spheres of equal mass, M, and radius R. One of them is initially at rest (in space, apparently) and the other is moving downwards with a velocity v0. Air resistance is given by an approximation (see below). Consider a completely inelastic, linear collision between...