Dynamic Motion: Frictional Forces and slope

AI Thread Summary
To find the net acceleration of an unidentified mass on an incline with a friction coefficient of 0.1 and a slope of 38 degrees, it is essential to resolve the mass into components parallel and perpendicular to the slope. The applied force acting down the plane is derived from the gravitational force component. The frictional force is calculated by multiplying the friction coefficient (mu) by the normal force, which is influenced by the angle of the slope. Using these components, the net acceleration can be determined by applying the formula: Net Acceleration = (Force Applied - Force of Friction) / mass. Understanding these relationships is crucial for solving the problem effectively.
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In a problem concerning Mechanics/Dynamic Motion, I am asked to find the acceleration net of an unidentified mass. I am given mu (.1) and the slope of the incline (38 degrees). After searching through my notes and as well as online, I cannot seem to find a way to determine the magnitude of the acceleration using only these two pieces of data!

Net Acceleration = Force Applied - Force of Friction / mass

mu = .1
slope incline = 38 degrees

I am aware of how to use trigonometry with Normal Force, gravity, etc., but with only two measurements, I'm drawing up a total blank on how to properly this problem! I sure appreciate yall helping me out on this. :blushing:
 
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Resolve the mass into components parallel to and perpindicular to the slope

The applied force will be the component of the mass acting down the plane.

The friction force is mu times the normal reaction to the mass by the plane.
 
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