STATICS: Applying Force Equilibrium

In summary, the problem involves a ball of weight W being held in place by an inclined surface and a compressed spring. The force exerted by the spring on the ball and the force exerted by the inclined surface on the ball can be determined in terms of the weight, W, of the ball. The first step is to find the angle of the normal force and then express everything using cosines and sines. The sum of the forces in the x and y direction is equal to 0, with W affecting the sum in the y direction and the spring affecting the sum in the x direction.
  • #1
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The ball of weight W is held in place as shown in the left figure by the inclined surface and the compressed spring. The FBD of the ball is shown in the right figure.
Determine the force exerted by the spring on the ball, and the force exerted by the inclined surface on the ball in terms of the weight, W, of the ball.

How would this problem be solved?
I have the FBD, I'm just unsure of the first step!
 

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  • #2
The sum of the forces in x and y=0. So for example w is only affecting the sum in y, and s only in x. You would have to find the angle of the normal force and then you can express everything with cosines and sines. Give it a try, and if you don't have a clue just yet, post another message here with what you have done so far.
 
  • #3
I was thinking about the problem wrong. Thank you for your guidance! I was able to figure it out.
 

What is statics?

Statics is a branch of physics that deals with the study of objects at rest or in a state of constant motion. It focuses on the forces acting on objects and how they affect the equilibrium of those objects.

What is force equilibrium?

Force equilibrium is a state in which all the forces acting on an object are balanced, resulting in a net force of zero. This means that the object is either at rest or moving at a constant velocity.

How do you apply force equilibrium?

To apply force equilibrium, you must first identify all the forces acting on an object. Then, you must use the principles of Newton's laws of motion and vector addition to determine if the forces are balanced. If the forces are not balanced, you must make adjustments to achieve force equilibrium.

What are the types of forces in statics?

The two types of forces in statics are external forces and internal forces. External forces act on an object from the outside, such as gravity, normal force, friction, and applied forces. Internal forces act within an object, such as tension, compression, and shear forces.

How is statics used in real-world applications?

Statics is used in various fields, including engineering, architecture, and physics, to design and analyze structures and objects. It is essential for understanding the stability and strength of buildings, bridges, and other structures. It is also applied in the design of machines and vehicles to ensure their safety and functionality.

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