Object being pushed up an inclined plane

AI Thread Summary
The discussion revolves around calculating the mass of an object being pushed up an inclined plane at a 20-degree angle, requiring 70 Newtons of force to initiate movement. The coefficient of static friction is given as 0.35, but the weight of the object is unknown, leading to confusion in solving the problem. Participants suggest using a free body diagram to identify the forces at play, including push force, friction, normal force, and weight. A key relationship is highlighted: the friction force can be expressed as F_f = μN = μWcos(θ), which helps in deriving the weight from the known friction force. The discussion concludes with appreciation for clarifying the relationship between friction force and the normal force.
Bushman
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I can't figure out how to get the mass of this object, with the information given:

Inclined plane with angle relative to the ground of 20 degrees.

It takes 70 Newtons to get the object moving up the plane.

"Mu" of static friction: 0.35

All my example problems involve an object going down an inclined plane. I have been working on this problem all day, and just seem to get myself more and more confused. Any help would be appreciated.
 
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try drawing a free body diagram- the forces acting on the block are the push, friction, the normal force, and weight.
 
I have :(. I don't know the weight, only what I gave above. It seems to me like I need one more piece of information, such as the weight. That is why I posted here, to see if I was missing something obvious.
 
Last edited:
well, you are solving for the weight, to get the mass.

you know that F_f = \mu N = \mu Wcos(\Theta)
 
So that means:

Fsubf = 24.5

24.5 = mu x W x cosTheta

24.5/(mu x cosTheta) = W

Thank you so much, I did not recall that relationship between the Friction force and muN.
 

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