Didn't I account for r dot's negative sign when adding "vtan, +" and "vtan, -"? (you are right though that initially I didn't attach a negative sign, which is incorrect) And good catch on the ω. I just dropped it when plugging into (vtan, +)-(vtan, -).
Homework Statement
Homework Equations
L = T-V
For constant frequency tangential velocity is (radius)*(w)
The Attempt at a Solution
I need to find r(t) using the Langrangian L = T-V
I just was not sure whether I am on the right track for calculating the total kinetic energy for the above...
I have started drawing the case when two baseballs are thrown, and
from here I would imagine that you solve for the frequency of baseballs hitting the car. I just don't know how I can relate the frequency of balls thrown (inverse Δt) and the frequency of balls hitting the car (inverse Δt') to...
Homework Statement
You throw baseballs at a mass rate of σ kg/s (assume a continuous rate) with speed u at the back of a car. They collide elastically with the car. The car starts at rest and has mass M. It moves on the ground with no friction. Find its speed and position as a function of time...