How to Calculate the Required Force to Move a Block Up an Incline

In summary, a 4.00-kg block on a 30.0° incline with a coefficient of static friction of 0.700 requires a minimum horizontal force F to start moving up the incline, considering its weight and friction force. Relevant equations are F=ma and Ffriction=μsFnormal. Numerous attempts were made, but more relevant equations and at least one attempt are needed to solve the problem.
  • #1
Almost935
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Homework Statement


4.00-kg block rests on a 30.0° incline as shown in the figure. If the coefficient of static friction between the block and the incline is 0.700, what magnitude horizontal force F must act on the block to start it moving up the incline?

Homework Equations


F=ma FfrictionsFnormal

The Attempt at a Solution


Numerous attempts to long to type out.
 
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  • #2
The forces acting on it are its weight and the friction force. A body will not move until the maximum static force is applied on it. Now think what should be the ''minimum'' F to move up the incline so that it overcomes the weight and static friction.
 
  • #3
Need more relevant equations (Fn ?)
And at least one attempt. Take what you think is the best and show where it gets stuck.
 

FAQ: How to Calculate the Required Force to Move a Block Up an Incline

What is static friction?

Static friction is a type of force that prevents an object from moving when a force is applied to it. It is caused by the microscopic irregularities on the surfaces of two objects that are in contact with each other.

How is static friction different from kinetic friction?

Static friction is the force that keeps an object at rest, while kinetic friction is the force that opposes the motion of an object that is already in motion. Static friction is usually greater than kinetic friction.

What factors affect the magnitude of static friction?

The magnitude of static friction is affected by the weight of the object, the normal force exerted on the object, and the coefficient of static friction, which is a measure of how difficult it is to move one surface over another.

How do you calculate the maximum static frictional force?

The maximum static frictional force can be calculated by multiplying the coefficient of static friction by the normal force exerted on the object. This value represents the maximum force that can be applied to the object without causing it to move.

What is the significance of static friction in everyday life?

Static friction plays a crucial role in our daily lives, from allowing us to walk without slipping to keeping our car tires in contact with the road. It also helps in the stability of structures and prevents objects from sliding off surfaces. Without static friction, many simple tasks would become much more difficult to perform.

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