Static friction: Will the box move?

In summary, the conversation is about determining whether a 55.0-kg box will move on a horizontal surface when a force of 156 N is applied at an angle of 18.0 degrees above the horizontal. The coefficient of static friction between the box and the surface is 0.300. The attempt at a solution involves breaking down the applied force into its x and y components and considering its interaction with the gravitational force. The conclusion is that the box will not move due to the calculated forces.
  • #1
Shannonvi
2
0

Homework Statement


A 55.0-kg box rests on a horizontal surface. The coefficient of static friction between the box and the surface is 0.300. A force of 156 N is applied to the box directed at an angle of 18.0 above the horizontal. Does the box move?

Please help??

The Attempt at a Solution


156 (cos18)= .300 (55kg×9.81m/s)
148.36N = 161.865 so no, the box wouldn't move. but my answer is wrong[/B]
 
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  • #2
Shannonvi said:

Homework Statement


A 55.0-kg box rests on a horizontal surface. The coefficient of static friction between the box and the surface is 0.300. A force of 156 N is applied to the box directed at an angle of 18.0 above the horizontal. Does the box move?

Please help??

The Attempt at a Solution


156 (cos18)= .300 (55kg×9.81m/s)
148.36N = 161.865 so no, the box wouldn't move. but my answer is wrong[/B]

Does the force of 156N do anything else?
 
  • #3
PeroK said:
Does the force of 156N do anything else?

I'm not sure what you mean
 
  • #4
Shannonvi said:
I'm not sure what you mean

It has an upward component.
 
Last edited:
  • #5
Assuming you're saying the applied force has an upward tilt, break it down into its x and y components. How does this interact with the gravitational force acting on the mass?
 
  • #6
Moderator's note: Thread title modified to make it more descriptive of the problem being addressed. Thread titles should not be overly generic.
 

What is static friction?

Static friction is a type of force that prevents two surfaces from sliding against each other when they are not in motion.

How does static friction differ from kinetic friction?

Static friction occurs when two surfaces are at rest, while kinetic friction occurs when two surfaces are in motion.

What factors affect the amount of static friction?

The amount of static friction depends on the type of surfaces, the roughness of the surfaces, and the force pressing the surfaces together.

How can static friction be calculated?

The formula for calculating static friction is Fs = μsN, where Fs is the force of static friction, μs is the coefficient of static friction, and N is the normal force between the two surfaces.

Why is static friction important in everyday life?

Static friction is important because it allows us to walk without slipping, drive a car without skidding, and enables objects to stay in place on a surface without sliding.

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