Constant Velocity or Acceleration

AI Thread Summary
The discussion revolves around determining the type of motion of a 3 kg block on a 37-degree incline, given static and kinetic friction coefficients. The calculations show that the force of gravity acting down the incline exceeds the maximum static friction force, indicating that the block will start to move. Once in motion, the block will experience kinetic friction, which is less than static friction. The analysis concludes that the block will accelerate down the incline rather than move at a constant velocity. Understanding the forces at play is crucial for determining the motion type.
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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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