A marble of radius b rolls back and forth in a shallow spherical dish of radius R. Find the frequency of small oscillations. You can solve this problem using conservation of energy or using Newton’s second law. Solve it both ways and show that you get the same answer.
I kind of get the...
A raindrop of initial mass Mo starts falling from rest under the influence of gravity. Assume that the drop gains mass at a rate proportional to the product of its instantaneous mass and its instantaneous velocity:
dM/dt = kMV
where k is a constant. Show that the speed of the drop...
N women, each with mass m, stand on a railway flatcar of mass M. Tehy jump off one end of the flatcar with velocity u relative to the car. The car rolls in the opposite direction without friction.
A- What is the final velocity of the flatcar if all the women jump at the same time?
B-...