Rigid Objects Homework: Minimum Tipping Force & Friction Coefficient Calculation

  • Thread starter iamhoms
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In summary, the problem involves a 430 N cabinet with a width of 54.0 cm and a height of 100.0 cm. A horizontal force F is applied at the upper edge. The questions ask for the minimum force needed to start tipping the cabinet, the minimum coefficient of static friction to prevent sliding, and the magnitude and direction of the minimum force needed to tip the cabinet with any point of application. The solution may involve friction, torque, and moment of inertia. A picture of the rectangular cabinet is also provided for reference.
  • #1
iamhoms
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0

Homework Statement


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.


Homework Equations



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.
-James
 
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  • #2
Include the figure please.
 
  • #3
Cilabitaon said:
Include the figure please.

Do you mean a picture of the problem?
It is a rectangular cabinet. I'll attach a picture.
 

Attachments

  • p12-53alt.gif
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What are rigid objects?

Rigid objects are objects that do not deform when subjected to external forces. They maintain their shape and size, and the distance between any two points on the object remains constant.

How are rigid objects different from non-rigid objects?

Rigid objects have a fixed shape and size, while non-rigid objects can deform when subjected to external forces. The distance between any two points on a non-rigid object can change.

What are some examples of rigid objects?

Some examples of rigid objects include a solid metal bar, a wooden plank, a book, a table, and a brick wall.

Can rigid objects move?

Yes, rigid objects can move, but their shape and size remain constant even during movement. For example, a car is a rigid object that can move.

How do scientists study the behavior of rigid objects?

Scientists use mathematical equations and principles of physics, such as Newton's laws of motion, to study the behavior of rigid objects. They also use experiments and simulations to understand how rigid objects interact with external forces.

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