General Planar Motion with a Center of Mass Reference - Example Problem 6.7-5
The driver of the car shown is attempting to round a curve when he loses control of the vehicle. At this point the car starts to spin with a clockwise angular velocity of 0.3 rad/sec. Fortunately, this car has been equipped with an electronic stability control system that is activated once it detects that the vehicle is skidding in an unsafe manner. The stability control system is able to apply the brakes of individual wheels in order to help the driver maintain the stability of the vehicle. The vehicle has a centroidal rotational inertia of 3500 kg-m2 about its yaw axis. It is desired to arrest the spinning of the vehicle in the span of one second. How large of a constant force F must be developed by braking the left front and left rear wheels as shown? You may assume the road forces developed by braking have the directions shown in the figure where θ = 15 degrees.
Given:
- IG = 3500 kg-m2
- Δt = 1 s
- θ = 15o
- ω = 0.3 rad/s
Find: F
Video solution:
The following video walks you through the solution to this problem. It is suggested that you try solving the problem first and then, if you have difficulties with the solution, watch the video for help.
Interactive solution:
Use the information given in the problem to determine the constant angular acceleration.