Recent content by kitsh

Homework Statement A solid hemisphere of radius b has its flat surface glued to a horizontal table. A second solid hemisphere of different radius a rests on top of the first one so that the curved surfaces are in contact. The surfaces of the hemispheres are rough (meaning that no slipping occurs...

Homework Statement A massless stick of length d, held parallel to the ground, has a mass, m, attached at one end of it and a pivot on the other end. A second mass, m, is glued on at a distance x from the pivot. At what distance x would maximize the angular acceleration of the stick the instant...

Using this I got an answer for kinetic energy that I'm pretty sure is right. T=(Fx+FD(1-λ)/λ)ln(DM(1-λ)+λMx) If anything, all the units work out right. Then I'm pretty sure to find maximum kinetic energy I need to take the derivative of T with respect to x and set it equal to zero and that...

Homework Statement A truck hauling a big tank of oil starts at position x=D (Chicago) and heads due west (–x direction) toward its destination at x = 0 (Des Moines). At Chicago, the total mass of the loaded truck is M and the mass of oil it is carrying is λM. (Thus M(1–λ) is the "tare" mass =...

So I converted everything to spherical which helps some and I know the bounds of integration are going to be from 0 to pi and that the integration constant is rdθ but I still can't figure out how to get the integral into the form indicated above.

Homework Statement An airplane flies from the North Pole to the South Pole, following a winding trajectory. Place the center of the Earth at the origin of your coordinate system, and align the south-to-north axis of the Earth with your z axis. The pilot’s trajectory can then be described as...

Homework Statement a) A fishing boat of mass m moves through water in the +x direction. At time t = 0, it is at location x = 0 and has speed v0 at that precise moment, the boat’s captain turns off the engines and let's the boat drift. Taking the drag force into account, Fd=-Kv^2, calculate the...