Calculating Normal Forces on a Wooden Stick Supported by Two Chairs

In summary, the problem involves a wooden stick placed on two chairs, with one chair located L meters from the left end and the other located X meters from the right end. The goal is to find the expression for the normal forces exerted by each chair. This problem can be solved by drawing a free body diagram and applying the equations of static equilibrium.
  • #1
diredragon
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Homework Statement


An ##D## meter long wooden stick with a mass of ##M## is placed on two chairs of neglegible lenght. The left is ##L## meters from the left end and the right is ##X## meters from the right end. Find the expression for the both Normal forces that act from the chairs.

Homework Equations

The Attempt at a Solution


I am guessing i should begin by noting that the lever that acts on the right, mainly the gravitational force times x is adding to the normal and the left is lowering it right?
 
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  • #2
Your attempt doesn't make sense, was there a diagram?

Anyway, this is a static equilibrium problem, so draw a complete free body diagram and then apply the equations of static equilibrium.
 
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What does it mean to calculate the normal force?

Calculating the normal force involves determining the force exerted by a surface on an object that is in contact with it. This force is perpendicular to the surface and acts as a support for the object's weight.

Why is it important to calculate the normal force?

The normal force is an essential component in understanding the motion and stability of objects. It helps determine the amount of force needed to keep an object in equilibrium and prevent it from falling or sliding.

What factors affect the normal force?

The factors that affect the normal force include the weight of the object, the angle of the surface, and the coefficient of friction between the object and the surface. The normal force also depends on the properties of the surface, such as its material and texture.

How do you calculate the normal force?

The normal force can be calculated using the formula FN = mg cosθ, where FN is the normal force, m is the mass of the object, g is the acceleration due to gravity, and θ is the angle of the surface. Alternatively, the normal force can also be found by resolving the weight of the object into its component forces.

Can the normal force be negative?

No, the normal force cannot be negative because it is always perpendicular to the surface and acts as a support force. If the object is in equilibrium, the normal force will be equal and opposite to the weight of the object. However, if the object is accelerating, the normal force may be less than the weight of the object.

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