Finding Minimum Force Applied to Keep Objects Stationary?

In summary, the concept behind finding the minimum force applied to keep objects stationary is based on Newton's First Law of Motion. It is calculated using the formula F=μN, where F is the force of friction, μ is the coefficient of friction, and N is the normal force. The main factors that affect the minimum force are the coefficient of friction and the normal force. The minimum force cannot be greater than the force of friction. This concept is used in various real-life situations, such as designing structures and machines, preventing objects from sliding or slipping, and in sports like curling.
  • #1
morgane28v
3
0

The coefficient of static friction between the crate m1=3.00kg and the incline with θ=35° shown in the figure below is .300. What minimum force F must be applied to the crate perpendicular to the incline to prevent the crate from sliding down the incline?


mgsinθ
μsmgcosθ
f=ma

I don't quite get how the applied force fits into the equation. mgsinθ-μsmgcosθ+F=0?
 

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  • #2
Your equation is almost right. You are not interested so much in F itself but the additional frictional force caused by F.
 
  • #3
Okay thank you I got it!
 

Related to Finding Minimum Force Applied to Keep Objects Stationary?

1. What is the concept behind finding the minimum force applied to keep objects stationary?

The concept behind finding the minimum force applied to keep objects stationary is based on Newton's First Law of Motion, which states that an object will remain at rest or in motion with a constant velocity unless acted upon by an external force. In other words, the minimum force required to keep an object stationary is equal to the force of friction acting in the opposite direction.

2. How is the minimum force calculated?

The minimum force applied to keep objects stationary is calculated using the formula F=μN, where F is the force of friction, μ is the coefficient of friction, and N is the normal force (the force exerted by a surface on an object).

3. What factors affect the minimum force required to keep an object stationary?

The coefficient of friction and the normal force are the two main factors that affect the minimum force required to keep an object stationary. The coefficient of friction depends on the nature of the surfaces in contact, while the normal force depends on the weight of the object and the angle at which it is placed.

4. Can the minimum force applied to keep objects stationary be greater than the force of friction?

No, the minimum force applied to keep objects stationary cannot be greater than the force of friction. This is because the minimum force is equal to the force of friction and any additional force will result in the object moving.

5. How is the concept of minimum force applied to keep objects stationary used in real-life situations?

The concept of minimum force applied to keep objects stationary is used in various real-life situations, such as designing structures and machines, preventing objects from sliding or slipping, and calculating the maximum weight that can be placed on a surface without causing it to move. It is also important in sports, such as in the game of curling where players need to apply the minimum force to slide the stone to a desired location.

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