The cabinet in the figure below weighs 430 N and has width w = 54.0 cm. A force F is applied horizontally at the upper edge.
The height l = 100.0 cm.
(a) What is the minimum force that must be applied for the cabinet to start tipping?
(b) What is the minimum coefficient of static friction required to prevent the cabinet from sliding with the application of a force of this magnitude?
(c) Find the magnitude and direction of the minimum force required to tip the cabinet if the point of application can be chosen anywhere on it.
The Attempt at a Solution
I do not have any idea on how to do this. I'm assuming it involves friction, torque, and possibly moment of inertia, but regardless I do not know where to start. Any help would be appreciated.