Constant Velocity or Acceleration

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SUMMARY

The discussion centers on determining the type of motion of a 3 kg block on a 37-degree incline, given static and kinetic friction coefficients of 0.333 and 0.167, respectively. The calculations reveal that the force of gravity acting down the incline exceeds the maximum static friction force, indicating that the block will accelerate rather than move at a constant velocity. The critical insight is that when the force parallel to the incline surpasses the static friction, motion will occur, leading to acceleration.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of static and kinetic friction coefficients
  • Ability to calculate forces on an incline
  • Familiarity with trigonometric functions in physics
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  • Study the principles of Newton's second law of motion
  • Learn how to calculate forces on inclined planes
  • Explore the differences between static and kinetic friction in detail
  • Investigate real-world applications of friction in motion analysis
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Students in physics courses, educators teaching mechanics, and anyone interested in understanding motion dynamics involving friction on inclined surfaces.

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Homework Statement


a 3 kg block is placed on an incline of 37 degrees with respect to the horizontal. The coefficient of static friction is 0.333, and the coefficient of kinetic friction is 0.167. What type of motion, constant or acceleration, will be observed?


Homework Equations


μ = Friction / Normal
Force = Mass * Acceleration

The Attempt at a Solution



3(9.8) = 29.4
Fgx = 29.4sin37

.333 = f / 29.4sin37
f (static friction) = 5.89188944

.167 = f / 29.4sin37
f (kinetic friction) = 2.954791401



I really have no idea how to determine whether it's moving at an acceleration or constant velocity. Any help would be appreciated :)
 
Last edited:
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In a problem involving different coefficients of static and kinetic friction, with static being greater than kinetic, your first objective is to determine whether there is any motion to begin with. For motion to happen, there must be a component of force parallel to the contact surface, whose magnitude is greater than the maximum force of static friction.
 

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