In t=0 a car is free from it's chain and can fall freely through a inclined plane (10 degrees)
rear wheels weight 500 lb each one and have an diameter of eight feet. Front wheel weights 800 lb and have a radius of 2 feet. The body of vehicle weights 9000 lb. Assume that wheels can drift. Obtain a expression for velocity in function of time.
Summation of forces = ma
We have inerce forces and gravity force. gravity force exerted on vehicle equals to Mgsin10
The Attempt at a Solution
inertia force formula is Ia, then I should add the forces.
alpha is angular acceleration.
A condition for simultaneous rotation and translation movement is v=wr
and Inertia applies for each rotating element
Moment of inertia for a wheel=mr^2/2.
M is the total mass in the system.
D are distances from the axis, they are unknown.
I only should put the expression from dv/dt and integrate for get a expression for v in function of t.
I don't know if my solution is right/
In which step I am wrong?