Kinetic friction, dragging a box

AI Thread Summary
To determine the force needed to drag a box at constant speed across a level surface with kinetic friction, one must analyze the forces acting on the box. The applied force can be broken down into horizontal and vertical components, with the vertical component affecting the normal force. The force of kinetic friction is calculated using the formula F_f = μ_k N, where N is the normal force. Understanding the balance of vertical and horizontal forces is crucial to solving for the applied force. Resources on friction concepts can further clarify these principles.
dudeman
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A box with mass M is dragged across a level floor having a coefficient of kinetic friction (greek mu)k by a rope that is pulled upward at an angle Theta above the horizontal with a force of magnitude F.

What is the expression of the mag. of force needed to move the box with a constant speed?

I dont' really know what to do on this. What I've tried so far is spliting the angle's force into acos(theta) and asin(theta), then somehow applying friction. Does anyone know where I can read up on friction, maybe I just dont' understand the concept fully.
 
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dudeman said:
A box with mass M is dragged across a level floor having a coefficient of kinetic friction (greek mu)k by a rope that is pulled upward at an angle Theta above the horizontal with a force of magnitude F.

What is the expression of the mag. of force needed to move the box with a constant speed?

I dont' really know what to do on this. What I've tried so far is spliting the angle's force into acos(theta) and asin(theta), then somehow applying friction. Does anyone know where I can read up on friction, maybe I just dont' understand the concept fully.
Is the box accelerating in the either the vertical or horizontal directions? So what are all the vertical forces and what do they add up to? What are the horizontal forces and what do they add up to? Set out those equations and you will easily see how to solve for the applied force. You have to know that the force of kinetic friction is: F_f = \mu_k N and is in the horizontal direction (N is the normal force of the box on the surface).

AM
 
I see you posted a formula Ff=UkN.. what do those variable stand for?
 
Last edited:
rkslperez04 said:
I see you posted a formula Ff=UkN.. what do those variable stand for?
Ff is the force of friction. \mu_k is the coefficient of kinetic friction (ie. F_f/N = \mu_k).

AM
 
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