Static friction: Will the box move?

AI Thread Summary
A 55.0-kg box on a horizontal surface has a static friction coefficient of 0.300, and a force of 156 N is applied at an 18-degree angle. The initial calculation suggests that the box will not move, as the horizontal component of the applied force (148.36 N) is less than the frictional force (161.865 N). However, the upward component of the applied force needs to be considered, as it reduces the effective weight of the box and thus the normal force. This interaction between the applied force components and gravitational force is crucial in determining whether the box will move. A complete analysis of both force components is necessary to arrive at the correct conclusion.
Shannonvi
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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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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?
 
PeroK said:
Does the force of 156N do anything else?

I'm not sure what you mean
 
Shannonvi said:
I'm not sure what you mean

It has an upward component.
 
Last edited:
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?
 
Moderator's note: Thread title modified to make it more descriptive of the problem being addressed. Thread titles should not be overly generic.
 
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