a car starts from rest and acclerates down a straight track of length L= 1600m with a constant accleration. If the time it takes for the car to travel the final d= 100 m of the track (from 1500m to 1600m) is T=0.125s, then the acceleration of the car is... the answer is 80.7 m/s^2
this isn't...
a uniform thin rod of length L and mass m is pivoted at one end the point is attached to the top of a car accelerating at a rate A.
a) what is the equilibrium angle between the rod and the top of the car?
b) suppose that the rod is displaced a small angle phi from the equilibrium derive the...
A drag racer experiences air resistance equal to -cv². Assuming the racer is designed for maximum acceleration, I am to find v[t] and v[x]. If I can just get the equation of motion I'll be set.
I think it is F = ma - μmg - cv² = m dv/dt. According to the answer, the book thinks it is F = -...
A smooth wire is bent into the form of a helix the equations of which, in cylindrical coordinates, are z=a*beta and r=b , in which a and b are constants. The origin is a center of attractive force, , which varies directly as the distance, r. By means of Lagrange’s equations find the motion...
Assume a masssless pulley and a frictionless surfce constraining two equal masses. Let x be the extension of the spring from mits relaxed length. I have to derive the equations of motion by Lagrangian methods, and solve for x as a function of time with the boundary conditions x=0, x'=0, and t=0...