Homework Statement
An airplane is flying due east along the 30 degree north latitude circle at 800 km/hr. Determine the magnitude and direction of the Coriolis acceleration acting on it. If the Coriolis acceleration is not compensated for, how far off course will the airplane be after one...
It makes sense that the rate of change of the oscillator is equal to the negative damping force but how do you mathematically derive [-b(x')] from [m(x'') + b(x') + kx]?
A damped oscillator is described by the equation m(x'') + b(x') + kx = 0, where the damping force is given by F = -b(x'). Show that the rate of change of the total energy of the oscillator is equal to the (negative) rate at which the damping force dissipates energy.
Compressed air is used to fire a ball vertically upward from a -m-tall tube. The air exerts an upward force of on the ball as long as it is in the tube.
How high does the ball go above the top of the tube?