Recent content by Ben Johnson

Not sure where to post this but is anyone else intrigued by sonoluminescence? I'm designing an experiment so if anyone wants me to harvest data for them I can integrate another measurement into the design. Let's start doing some research on this site!

As I've been reading up on fluid mechanics recently, I've discovered several different molecular models which attempt to explain heterogeneous fluid flow from a molecular level. Classical fluid mechanics assumes that hard body approximation- that atoms are hard spheres knocking into each other...

I'm not sure which forum to post this under... Anyhow all scientists I've talked to have agreed that sonoluminescence is not completely understood by the scientific community. I'm curious as to which parts of the phenomenon remain a mystery. To me it seems like a reasonable process if you...

Where is the energy transferred once the viscous liquid absorbs it? Could transfer the energy as exhaust after using the rotational motion to spin a gyroscope powering a generator... The energy needs to be transferred from the system with the human to the system without the human.

Hi, I'm studying the Lagrangian and its applications in electromagnetism. I stumbled across this inconsistency: The force of a charge moving through a magnetic field is ## F_b = q v \times B ## If we define B to be in the ## \hat{z} ## direction, this equation can be written as ## F_b = q (...

Constant linear velocity v, constant angular velocity ## \omega_{e2} = \dot{\theta}(t) ## ## \omega_{e2} = \frac{v}{R} ## In the body frame, the angular velocity introduces a centrifugal force which must be balanced by a centripetal force. The centrifugal force is given by ## F_{cf} = m (...

By trigonometry, ## \theta (t) = \frac{vt}{R} ## I can solve the problem correctly if I assume that e3 does not precess, my question is why does this axis not precess while there is torque about e2 from the movement of the particle?

The moment of inertia about the e3 axis at t=0 is the moment of inertia of the sphere (since the particle lies on the e3 axis). ## I = \frac{2R^2M}{5} ## At time t the moment of inertia about the e3 axis is the moment of the sphere plus a contribution from the particle, a distance d from the z...

## L_Z = I_Z \omega_Z ## ## \frac{1+2x}{y+3} ##

Angular momentum of the sphere as it rotates about the z axis in the space frame and and a particle of mass m moves along the circumference of the sphere in the xz plane as this plane rotates in the body frame. ## L_z = I_z \omega_z ## ## L_{e2} = I_{e2} \omega_{e2} ##

Homework Statement A solid sphere of mass M and radius R rotates freely in space with an angular velocity ω about a fixed diameter. A particle of mass m, initially at one pole, moves with constant velocity v along a great circle of the sphere. Show that, when the particle has reached the other...