From Classical Mechanics by Taylor:
"The Compton generator is a beautiful demonstration of the Coriolis force due to the earth's rotation,.... A narrow glass tube in the shape of a torus or ring (radius R of the ring >> radius of the tube) is filled with water, plus some dust particles to let...
It seems wrong because my discriminant gives the relation of \theta > 70.5 rather than less. Also, 70.5 seems too big because by that angle I would have thought that the decrease in y would have overtaken the increase in x. Lastly, my teacher didn't exactly find my answer to be correct.
A cannon (at the origin) shoots a ball at an angle \theta above the horizontal ground. Neglect air resistance. Let r(t) denote the ball's distance from the cannon. What is the largest possible value of \theta if r(t) is to increase throughout the ball's flight? Taylor, Classical...
As the title implies, I am having a problem with the way this problem is done.
problem: "An insulating sphere with radius a has a uniform charge density p. The sphere is not centered at the origin but at vector(r) = vector(b). Show that the electric field inside the sphere is given by E =...