Dynamic Motion: Frictional Forces and slope

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SUMMARY

The discussion focuses on calculating the net acceleration of an unidentified mass on an incline with a coefficient of friction (mu) of 0.1 and a slope angle of 38 degrees. The formula for net acceleration is established as Net Acceleration = (Force Applied - Force of Friction) / mass. The applied force is derived from the gravitational component acting down the slope, while the frictional force is calculated as mu times the normal force. Participants emphasize the importance of resolving the mass into components parallel and perpendicular to the slope for accurate calculations.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with trigonometric functions in physics
  • Knowledge of frictional force calculations
  • Ability to resolve forces into components
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  • Study the concept of Normal Force in inclined planes
  • Learn how to calculate gravitational force components on slopes
  • Explore frictional force equations in dynamic motion scenarios
  • Investigate advanced problems involving multiple forces on inclines
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Students and educators in physics, particularly those focusing on mechanics and dynamic motion, as well as anyone seeking to understand the effects of friction on inclined planes.

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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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